Field of interest and list of publication for members of the Kinetic Theory Group

Fredrik Abrahamsson

• Strong L¹ convergence to equilibrium without entropy conditions for the spatially homogenous
  Boltzmann equation, Comm. P.D.E. 24 no. 7-8, 1501-1535 (1999)

Håkan Andreasson

• H. Andreasson, A.D. Rendall, M. Weaver: Existence of CMC and constant areal time foliations in T^2 symmetric spacetimes with Vlasov matter. Preprint.
• H. Andreasson: The Einstein-Vlasov system/Kinetic Theory. In Living Rev. Relativity.
• H. Andreasson, G. Rein, A. D. Rendall, On the Einstein-Vlasof system with hyperbolic symmetry,
  Math. Proc. Camb. Phil. Soc. to appear.
• H. AndreassonGlobal foliations of matter spacetimes with Gowdy symmetry,
  Comm. Math. Phys. 206 , 337-366 (1999)Commun. Math. Phys. 206, 337-366 (1999)
• H. Andreasson: Controlling the propagation of the support for the relativistic Vlasov equation with a selfconsistent Lorentz invariant field,
  Indiana Journal, 45 (1996), pp. 617-642.
• H. Andreasson: Global existence of smooth solutions in three dimensions for the semiconductor Vlasov-Poisson-Boltzmann equation,
  Nonlinear Analysis: Th. Meth. Appl., 28 (1997), pp. 1193-1211.
• H. Andreasson: Regularity of the gain term and strong L¹ convergence to equilibrium for the relativistic Boltzmann equation,
  SIAM J. Math. Anal., 27 (1996), pp. 1386-1405.
• H. Andreasson: A regularity property and strong L¹ convergence to equilibrium for the relativistic Boltzmann equation,
  Technical Report 21, Dept. of Math., Chalmers University of Technology, Goteborg (1994).

Leif Arkeryd

• Kinetic theory in general, presently with emphasis on stationary problems for the Boltzmann equation and related equations in bounded and unbounded domains, aspects of long time behaviour for the
  time-dependent case.

      List of publications:

• L.Arkeryd Rigorous infinitesimals, Delta 7 (362) (2004),
  also to appear in Am. Math. Monthly (2005).
• L. Arkeryd, On stationary kinetic systems of Boltzmann type and their fluid limits, Banach Center Publications 66,13-27, 2004
• L. Arkeryd, A. Nouri, The stationary nonlinear Boltzmann equation in a Couette setting with multiple isolated Lq solutions and hydrodynamic limits, to appear in Journ. Stat. Physics 2005.
• L. Arkeryd, A. Nouri, A large data existence result for the stationary Boltzmann equation in a cylindrical geometry,
  Arkiv för Matematik , 29-50, (2004).
• L. Arkeryd, On the stationary boltzmann equation and entropy dissipation, Seminaire CNRS 2001-2002
• L. Arkeryd, A discussion of some recent results on stationary boundary value problems for eqations fo Boltzmann type, Technical report 2001:43 (Chalmers)
• L. Arkeryd, On the stationary Boltzmann equation in Rⁿ, IMRN (2000), 626-641.
• L. Arkeryd, A. Nouri, The stationary Boltzmann equation in Rⁿ, with given indata
  Ann. Scuola Norm. Sup. Pisa 31 1-28 (2002).
• L.Arkeryd, A.Nouri, On the Milne problem and the hydrodynamic limit for a Boltzmann equation model,
  J. Stat. Phys. 99 (2000) 993-1019. (preprint 1999:41)
• L.Arkeryd, A.Nouri, The stationary Boltzmann equation in the slab with given weighted mass for hard
  and soft forces, Ann. Scuola Norm. Sup. Pisa 27 533-556 (1998)
• L. Arkeryd, A.Nouri, L^1 solutions to the stationary Boltzmann equation in a slab, Ann. Fac. Sci. Toulouse Math. 9 375-413 (2001).
• L.Arkeryd, A.Nouri, On the stationary Povzner equation in R^n, Journ.Math. Kyoto Univ. 39 115-153 (1999)
• L.Arkeryd, A.Heintz, On the solvability and asymptotics of the Boltzmann equation in irregular domains, Comm.Part.Diff.Eqns. 22 (1997), 2129-2152
• L.Arkeryd, N.Cutland, W.Henson, Theory and applications of nonstandard analysis , Kluwer 1997.
• L.Arkeryd, A.Nouri, A condensation-evaporation problem in kinetic theory,
  Siam J Math Anal 29 (1998), 30-47
• L.Arkeryd, A.Nouri, Asymptotics of the Boltzmann equation with diffuse reflection boundary conditions, Monatshefte f. Math. 123 (1997), 285-298
• L. Arkeryd, A.Nouri, A compacticity result related to the stationary Boltzmann equation in a slab, Ind.Journ.Math. 44, 815-839 (1995)
• L.Arkeryd, R.Illner The Broadwell model in a box, SIAM Journ.Appl.Math. 55. 641-650 (1995)
• L.Arkeryd, N.Maslova, On diffuse reflection at the boundary for the Boltzmann equation and related equations, Journ.Stat.Phys. 77, 1051-1077 (1994)
• L.Arkeryd, P.L.Lions, P.A.Markowich, S.Varadhan, Nonequilibrium problems in many-particle systems , Springer Lect. Notes Math. 1551, 1994
• L.Arkeryd, Infinite range forces and strong L1 asymptotics, Advances in analysis , Kluwer 1994
• L.Arkeryd, C.Cercignani, A global existence theorem for the Boltzmann equation when the boundaries are not isothermal, Arch.Rat.Mechs.Anal. 125, 271-288 (1993)
• L.Arkeryd, N.Ianiro, L.Triolo, The trend to a stationary state for the Lebowitz stick model,
  Math.Meth.Appl.Sci. 16, 739-757 (1993)
• L.Arkeryd, On the strong L1 trend to equilibrium for the Boltzmann equation, Stud.Appl.Math. 87, 282-288 (1992)
• L.Arkeryd, Stability and long-time behaviour for a rarefied gas, Adv.Math. Appl.Sci. 4, 1-8 (1991)
• L.Arkeryd, The kinetic and dynamic behaviour of a simple gas model, Le Matematiche XLVI , 1-13 (1991)
• L.Arkeryd, S.Caprino, N.Ianiro, The homogeneous Boltzmann hierarchy and statistical solutions to the homogeneous Boltzmann equation, Journ.Stat.Phys. 63, 345-361 (1991)
• L.Arkeryd, C.Cercignani, R.Illner, Measure solutions of the steady Boltzmann equation in a slab, Comm.Math.Phys. 142 , 2285-292 (1991)
• Arkeryd, Leif and Cercignani, Carlo, On a functional equation arising in the kinetic theory of gases,
  Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. (9) Mat. Appl., 1,(1990), no 2, 139-149
• Arkeryd, Leif and Cercignani, Carlo, Global existence in ${L}\sp 1$ for the Enskog equation and convergence of the solutions to solutions of the Boltzmann equation, J. Statist. Phys. 59 , (1990), 845-867
• Arkeryd, Leif and Cercignani, Carlo, On the convergence of solutions of the {E}nskog equation to solutions of the {B}oltzmann equation, Comm. Partial Differential Equations , 14 ,(1989),no 8-9,1071-1089 .
• Arkeryd, Leif, On the {E}nskog equation with large initial data, SIAM J. Math. Anal. , 21 , (1990), no 3, 631-646 .
• Arkeryd, Leif, Stability in ${L}\sp 1$ for the spatially homogeneous {B}oltzmann equation, Arch. Rational Mech. Anal. , 103 , (1988), no 2, 151-167 .
• Arkeryd, Leif, Existence theorems for certain kinetic equations and large data,
  Arch. Rational Mech. Anal. , 103 , (1988), no 2, 139-149 .
• Arkeryd, L. and Esposito, R. and Pulvirenti, M., The {B}oltzmann equation for weakly inhomogeneous data, Comm. Math. Phys. , 111 , (1987), no 3, 393-407 .
• Arkeryd, Leif, On the {E}nskog equation in two space variables, Transport Theory Statist. Phys. , 15 , (1986), no 5, 673-691 .
• Arkeryd, Leif, On the {B}oltzmann equation in unbounded space far from equilibrium, and the limit of zero mean free path, Comm. Math. Phys. , (1986), no 2, 205-219 .
• Arkeryd, Leif, Loeb solutions of the {B}oltzmann equation, Arch. Rational Mech. Anal. , 86 , (1984), no 1, 85-97 .
• Arkeryd, Leif, Asymptotic behaviour of the {B}oltzmann equation with infinite range forces, Comm. Math. Phys. , 86 , (1982), no 4, 475-484 .
• Arkeryd, Leif, ${L}\sp{\infty }$\ estimates for the space-homogeneous {B}oltzmann equation, J. Statist. Phys. , 31 , (1983), no 2, 347-361 .
• Arkeryd, Leif, Intermolecular forces of infinite range and the {B}oltzmann equation, Arch. Rational Mech. Anal. , 77 , (1981), no 1, 11-21 .
• Arkeryd, Leif, A nonstandard approach to the {B}oltzmann equation,
  Arch. Rational Mech. Anal. , 77 , (1981), no 1, 1-10 .
• Arkeryd, Leif, On the {B}oltzmann equation. {I}{I}. {T}he full initial value problem, Arch. Rational Mech. Anal. , 45 , (1972), 17-34 .
• Arkeryd, Leif, On the {B}oltzmann equation. {I}. {E}xistence, Arch. Rational Mech. Anal. , 45 , (1972), 1-16 .
• Arkeryd, Leif, The nonlinear {B}oltzmann equation far from equilibrium, in Nonstandard analysis and its applications (Hull, 1986), page 321-340, Cambridge Univ. Press, Cambridge, 1988.

Mohammad Asadzadeh

• Development and mathematical analysis of numerical methods for the approximate solutions for the transport type equation as: Pencil beam models used in radiative cancer therapy, neutron transport, e.g., in reactor core calculations, and Vlasov-Poisson for astrophysical applications.

      List of publications:

• M. Asadzadeh and A. Sopasakis, On a variational nodal-diffusion method for absorption-diffusion problems, preprint (2004).
• M. Asadzadeh, A. Sopasakis: Convergence of a hp-Streamline Diffusion Scheme for Vlasov-Fokker-Planck System. preprint (postscript) (2003).
• M. Asadzadeh, On the stability of characteristic schemes for the Fermi equation. Appl. Comput. Math., 1 (2002), 158-174.
• M. Asadzadeh and A. Sopasakis, On Fully Discrete Schemes for the Fermi Pencil-Beam Equations, Comput. Methods Appl. Mech. Engrg. 191 (2002), 4641-4659.
• M. Asadzadeh, The Fokker-Planck operator as an asymptotic limit in anisotropic media Mathematics and Computer Modelling, 35 (2002), 1119-1133.
• M. Asadzadeh, Convergence of a discontinuous Galerkin scheme for the neutron transport, Transport Theory and Statistical Physics, (2001), 357-383.
• M. Asadzadeh and P. Kowalczyk, Convergence of Streamline Diffusion Methods for the Vlasov-Poisson-Fokker-Planck System. Preprint NO 2001:25, ISSN 0347-2809, Department of Mathematics, Chalmers University of Technology.
• M. Asadzadeh, Characterstic methods for Fokker-Planck and Fermi pencil beam equations, Proceedings of 21th International Symposium on Rarefied Gas Dynamic, Marseille (R. Brun et al editors) 1998.
• M. Asadzadeh, A Posteriori Error Estimates for The Fokker-Planck and Fermi Pencil Beam Equations, Mathematical Models and Methods in the Applied Sciences , 10 no 5 (2000), 737-769. (preprint) .
• M. Asadzadeh, A finite element method for the neutron transport equation in an infinte cylindrical domain, SIAM J. Numer. Anal. , 35, (1998), 1299-1314.
• M. Asadzadeh, Streamline diffusion methods for the Fermi and Fokker-Planck equations, Transport Theory and Statistical Physics, 26 (1997), 319-340.
• M. Asadzadeh, Dj. Tomasevic, On Varitional Nodal-Diffusion Approximations, Transaction of American Nuclear Society , (1995), 171-173.
• M. Asadzadeh, K. Eriksson, On adaptive finite element method for Fredholm integral equations of the second kind, SIAM J. Numer. Anal. 31 , (1994), 831-855.
• M. Asadzadeh, P. Kumlin,S.Larsson, The discrete ordinates method for the neutron transport equation in an infinite cylindrical domain, Mathematical Models and Methods in Applied Sciences 2 , (1992), 317-338.
• M. Asadzadeh, Streamline diffusion methods for the Vlasov-Poisson equations, RAIRO Mathematical Modelling and Numerical Analysis 24 (1990), 177-196.
• M. Asadzadeh, $L_p$ and eigenvalue error estimates for two-dimensional neutron transport,
  SIAM J. Numer. Anal. 26 , (1989), 66-87.
• M. Asadzadeh, Numerical Approximations for Isotropic Neutron Transport Equation, in Discrete Kinetic Theory, Lattice Gas Dynamics and Foundations of Hydrodynamics, edited by I.S.I.-R. Monaco World Scientific Publishing Co. (1989), 6-16.
• M. Asadzadeh, $L_2$-error estimates for discrete ordinates method for three-dimensional neutron transport, Transport Theory and Statistical Physics, 17 , (1988), 1-24.
• M. Asadzadeh, Analysis of a fully discrete scheme for neutron transport in two-dimensional geometry,
  SIAM J. Numer. Anal. 23 ,(1986), 543-561.

Johannes Brasche

• Spectral theory, inverse spectral theory, scattering theory, Schrödinger operators, random Schrödinger operators

      List of publications:

• Y. Berezansky, J. F. Brasche: Generalized selfadjoint operators and their singular perturbations,
  Methods of Functional Analysis and Topology 8 no 4, 1-14 (2002).
• J. F. Brasche, L. Nizhnik: A generalized sum of quadratic forms.
  Methods of Functional Analysis and Topology 8 no 3, 13-19 (2002).
• J.F.Brasche: On the approximation of the solution of the Schrödinger equation by superpositions of stationary solutions,
  Operator Theory: Advances and Applications 132, 111-119 (2002).
• J.F.Brasche, M. Malamud, H. Neidhardt: Weyl functions and spectral properties of self -- adjoint extensions.
  Integral Equations and Operator Theory, 43 , no.3, 264- 289 (2002).
• J.F.Brasche: The spectra of the self -- adjoint extensions of a symmetric operator S inside a gap of S
  Preprint 2000:55 Mathematics, Chalmers (2000).
• J. F. Brasche, M. M. Malamud, H. Neidhardt: Weyl functions and singular continuous spectra of self - adjoint extensions.
  Stochastic Processes, Physics and Geometry: New Interplays. II.CMS Conference Proceedings, 29 , Canadian Mathematical Society, AMS, Providence, RI, 2000. To appear in the proceedings of the International Conference on Mathematical Physics, organised by the Max - Planck - Institute in Leipzig 1999.
• J. F. Brasche, Upper bounds for Neumann - Schatten norms,
  Potential Analysis 14 175-205 (2001)
• J. F. Brasche, On inverse spectral theory for self-adjoint extensions: Nowhere dense singular continuous spectra and Hausdorff dimension of spectra. Journ. Op. Theory 43 (2000), no. 1, 145 - 169.
• J. F. Brasche, On the absolutely continuous energy distribution of a quantum mechanical system in a bounded domain, p. 197 - 202 in J. Dittrich, P. Exner, M. Tater (eds.): Mathematical Results in Quantum Mechanics, Birkhäuser 1999.
• S. Albeverio, J. F. Brasche, H. Neidhardt: On inverse spectral theory for self - adjoint extensions. Journ. Funct. Anal. 154 (1998). 130 - 173.
• J. F. Brasche, R. Figari, A. Teta: Singular Schrödinger operators as limits of point interaction Hamiltonians. Potential Analysis 8 , 2 (1998), 163 - 178.
• S. Albeverio, J. F. Brasche, V. Koshmanenko: Lippmann - Schwinger equation for singularly perturbed operators. Methods of Functional Analysis and Topology, 3, No. 1 (1997), 1 - 27.
• J. F. Brasche, H. Neidhardt, On the singular continuous spectrum of self-adjoint extensions. Math. Zeitschr. 222 (1996), 533-542.
• J.F.Brasche, On the spectral properties of singular perturbed operators, S. 65-72 in Z.Ma, M.Röckner (eds.): Stochastic Processes and Dirichlet forms, de Gruyter 1995.
• J.F.Brasche, H. Neidhardt: On the absolutely continuous spectrum of self-adjoint extensions. Journ.Funct. Analysis 131 , (1995), 364-385.
• J.F.Brasche, On extension theory in $L^2$-spaces. Potential Analysis Vol. 4, 3, (1995), 297-307.
• J.F.Brasche, V. Koshmanenko, H. Neidhardt: New aspects of Krein's extension theory.
  Ukrain.Journ.Math. 46 (1994), 37-54.
• J.F.Brasche, On the spectral properties of generalized Schrödinger operators. Operator Theory: Advances and Applications 70 (1994), 73-78.
• J.F.Brasche, H. Neidhardt: Some remarks on Krein's extension theory. Math.Nachr. 165 (1994), 159-181.
• J.F.Brasche, Schrödinger operators with singular interactions. Journ.Math.Anal. Appl. 183 (1994), 112-139.
• H. Neidhardt, J. Weidmann: On the spectra of self-adjoint extensions. Operator Theory: Advances and Applications 61 (1993), 29-45.
• J.F.Brasche, H. Neidhardt, J. Weidmann: On the point spectrum of self-adjoint extensions. Math.Zeitschr. 214 (1993), 343-355.
• J.F.Brasche, H. Neidhardt: Has every symmetric operator a restriction whose square has a trivial domain?
  Acta Sci.Math. 58 (1993), 425-430.
• J.F.Brasche, A. Teta: Spectral analysis and scattering theory for Schrödinger operators with an interaction supported by a regular curve, p. 197-211 in S.Albeverio et al. (eds.): Ideas and Methods in Mathematics Analysis. Vol.2, Cambridge University Press, New York- Cambridge 1992.
• J.F.Brasche, On extension theory in $L^2$-spaces, S. 298-301 in J.Dittrich, P.Exner (eds.): Rigorous Results in Quantum Dynamics. World Scientific, Singapore 1991.
• J.F.Brasche, W. Karwowski: On boundary theory for Schrödinger operators and stochastic processes. Operator Theory: Advances and Applications 46 (1990), 199-208.
• J.F.Brasche, Dirichlet Forms and Non-Standard Schrödinger operators, p. 43-58 in P.Exner, P. Seba (eds.): Schrödinger Operators, Standard and Non-standard. World Scientific, Singapore 1989.
• S. Albeverio, J. F. Brasche, M. Röckner: Dirichlet forms and generalized Schrödinger operators, p. 1-42 in H.Holden, A.Jensen (eds.): Schrödinger operators. Lecture Notes in Physics, Vol. 345, Springer, Berlin 1989.
• J. F. Brasche, Generalized Schrödinger operators, an inverse problem in spectral analysis and the Efimov effect, p. 207-245 in S.Albeverio et al. (eds.): Stochastic Processes, Physics and Geometry . World Scientific, Singapore 1989.
• J. F. Brasche, Perturbation of Schrödinger Hamiltonians by measures -- Self-adjointness and lower semiboundedness. Journ.Math. Phys. 26 (1985), 621-626.

Lennart Falk

• I am interested in regularity questions for the Boltzmann equation (both linear and quadratic) with diffuse reflection on the boundary, and also in asymptotics.

• L. Falk: Existence of solutions to the stationary linear Boltzmann equation,
  Transport Theory Stat. Phys 32 no 1 (2003) 37-62.
• L. Falk: Some problems on iterated maps and kinetic equations doctoral thesis, Mathematics, Chalmers (2000).

Tommy Gustafsson

• F. Chvàla, T. Gustafsson, R. Pettersson, On solutions to the linear Boltzmann equation with external electromagnetic force SIAM J. Math. Anal., 24 (1993) 583-602
• N. Bellomo,T. Gustafsson, The discrete Boltzmann equation: a review of the mathematical aspects of the initial and initial-boundary value problems, Rev. Math. Phys., 3 no 2 (1991) 137-162
• T. Gustafsson, Global ${L}\sp p$-properties for the spatially homogeneous Boltzmann equation,
  Arch. Rational Mech. Anal., 103 (1988),1-38
• T. Gustafsson, ${L}\sp p$-estimates for the nonlinear spatially homogeneous Boltzmann equation
  Arch. Rational Mech. Anal., 92, (1986), 23-57

Alexei Heintz

• 1. Mathematical theory for boundary value problems for the Boltzmann equation and other kinetic equations. Special interest concerns the behavior of solutions in domains with very irregular boundaries and corresponding questions from the geometric measure theory and potential theory.   
  2. Discrete models for the Boltzmann equation and discrete kinetic models to PDE concerning different physical and geometrical problems.   
  3. Monte Carlo simulations for flows of rarefied gases and for the solution of integral equations.   
  4. Boundary value problems with free boundaries. Have experience in numerical investigations of flows with two fluids having free boundaries with evaporation, condensation and chemical reactions.

      List of publications:

• V. Panferov, A. Heintz: A new consistent discrete-velocity model for the Boltzmann equation, Math. Methods Appl. Sci. 25no 7, 571--593 (2002).
• A. V. Bobylev, R. Grzhibovskis, A. Heintz: Entropy inequalities for evaporation/condensation problem in rarefied gas dynamics J. Statist. Phys 102 no 5-6, 1151--1176 (2001).
• A. Heintz, Initial boundary value problems for the Enskog equation in irregular domains. J. of Statistical Physics , 90, issue 3/4, February, (1998), 663-695
• L. Arkeryd, A. Heintz, On the solvability and asymptotics of the Boltzmann equation in irregular domains. Comm. Part. Diff. Eq. 22, (1997), 2129-2152.
• A. Heintz, Initial boundary value problems in irregular domains for nonlinear kinetic equations of Boltzmann type. Transport Theory Statist. Phys> 28 no 2 (1999), 105-134.
• A.G. Heintz, On some new methods in relaxation equations theory, in Kinetic Theory of Gases, Moscow Power Institute, 1991, 120-126. ( in Russian )
• A.G. Heintz, I.N. Dubrovskaja, B.B. Starikov, A.A. Schmitt, On the influence of the character of molecules reflection on the conducting properties of channels. in Interaction of rarefied gases with surfaces. Moscow, 1986. ( in Russian )
• Ge\u\i nts, A. G. On the asymptotic behavior of the solutions of an integral equation of transport theory in a neighborhood of corner points of a contour. Vestnik Leningrad. Univ. Mat. Mekh. Astronom. 1988, vyp. 4, 42-45, 113.( in Russian)
• A.G. Heintz, On the asymptotic of solutions of the one integral equation of transport theory near the angle points on the curve. Vestnik of Leningrad State University, ser. 1, 1988, iss. 4, 42-45. ( in Russian )
• A.G. Heintz, On the solution of boundary value problems for the Boltzmann equation in domains with irregular boundaries. in Statistical Mechanics , Numerical Methods in Kinetic Theory of Gases, Novosibirsk, 1986, pp. 148-154 ( in Russian )
• A.G. Heintz, On the solution of boundary value problems for the Boltzmann equation in domains with irregular boundaries. in Numerical and Analytical Methods in Rarefied Gas Dynamics, Moscow, 1985, pp. 7-11. ( in Russian )
• A.G. Heintz, On the solution of initial - boundary value problems for the nonlinear Boltzmann equation in a bounded domain. in Rarefied Gas Aerodynamics, 11. Leningrad 1983, 166 - 174. ( in Russian )
• Ge\u \i nc, A. G.; Maljarenko, V. A.; Maslova, N. B. Free molecular flow inside a spherical cavity. (Russian) Aerodynamics of rarefied gases, No. 10 , pp. 203-209, 237, Leningrad. Univ., Leningrad, 1980.(in Russian)
• A.G. Heintz, On the solution of boundary value problems for the nonlinear Boltzmann equation in a bounded domain. in Rarefied Gas Aerodynamics, issue 10. Leningrad 1980, 16-24. ( in Russian )

Rolf Pettersson

• Existence of stationary solutions to the linear Boltzmann equation in a bounded body, with boundary conditions given by a linear combination of a given boundary source term and a general refelxtion term.

      List of publications:

• Chvàla, F. and Pettersson, R, Weak solutions of the linear Boltzmann equation with very soft interactions,
  J. Math. Anal. Appl. 191 (1995), no. 2, 360-379
• Pettersson, Rolf, On weak and strong convergence to equilibrium for solutions to the linear Boltzmann equation, J. Statist. Phys. 72 (1993), no. 1-2, 355-380
• Chvàla, F, Gustafsson, T and Pettersson, R, On solutions to the linear Boltzmann equation with external electromagnetic force, SIAM J. Math. Anal. 24 (1993), no. 3, 583-602
• Pettersson, Rolf, On the linear Boltzmann equation with sources, external forces, boundary conditions and infinite range collisions, Math. Models Methods Appl. Sci. 1 (1991), no. 3, 259-291
• Pettersson, Rolf, On solutions to the linear Boltzmann equation with general boundary conditions and infinite-range forces, J. Statist. Phys. 59 (1990), no. 1-2, 403-440
• Pettersson, Rolf, On solutions and higher moments for the linear Boltzmann equation with infinite-range forces, IMA J. Appl. Math. 38 (1987), no. 2, 151-166
• Pettersson, Rolf, Existence theorems for the linear, space-inhomogeneous transport equation,
  IMA J. Appl. Math. 30 (1983), no. 1, 81-105
• Pettersson, Rolf, The linear Boltzmann equation with general boundary conditions and infinite range forces, in Modern mathematical methods in transport theory (Blacksburg, VA,1989) , 238-250, Birkhäuser, Basel,

Bernt Wennberg

• Problems related to the spatially homogeneous Boltzmann equation, regularity properties, trend to equilibrium, numerical aspects. Also statistical properties of particle systems, validation of kinetic equations et.c.
  I also work on a project concerning the modelling of metabolic pathway analysis, see bio mathematics homepage.

      List of publications:

• B. Wennberg, Y. Wondmagegne: Stationary states for the Kac equation with a Gaussian thermostat, Nonlinearity 17 633-648 (2004). preprint .
• V. Ricci, B. Wennberg: On the derivation of a linear Boltzmann equation from a periodic lattice gas, preprint Stochastic Process. Appl. 111 281-315 (2004) .
• L. Desvillettes, B. Wennberg: Smoothness of the solution of the spatially homogeneous Boltzmann equation without cutoff, (preprint) Comm. PDE 29 133-155 (2004).
• X. Lu, B. Wennberg: On stability and strong convergence for solutions to the spatially homogeneous Boltzmann equation for Fermi-Dirac particles, Arch Rat. Mech. Anal. 168 no 1, 1-34 (2003).
• L. Pareschi, B. Wennberg: A recursive Monte-Carlo method for the Boltzmann equation in the Maxwellian case , Monte Carlo methods and applications, 7 no 3-4, 349-357 (2001).
• X. Lu, B. Wennberg: Solutions with increasing energy for the spatially homogeneous Boltzmann equation,
  Nonlinear Analysis, RWA 3 no. 2, 243--258 (2002).
• F. Golse, B. Wennberg: On the distribution of free path lengths for the periodic Lorentz Gas II, M²AN 34 no 6. 1151-1164 (2000).
• R. Alexandre, L. Desvillettes, C. Villani, B. Wennberg: Entropy dissipation and long range interactions, Arch. Rat. Mech. Anal. 152 no 4, 327-255 (2000).
• B. Wennberg: An example of non-uniqueness for solutions to the homogeneous
  Boltzmann equation, J. Stat. Phys. 95 no 1/2 473-481 (1999).
• S. Mischler, B. Wennberg: On the spatially homogeneous Boltzmann equation, Ann. Inst. H. Poincare Anal.
  Non Lineaire 16 no. 4, 467-501 (1999).
• J. Bourgain, F. Golse, B. Wennberg, On the distribution of free path lengths for the periodic Lorentz gas,
  Commun. Math. Phys. 190, no. 3, 491-508 (1998).
• B. Wennberg, The geometry of binary collisions and generalized Radon transforms,
  Arch. Rat. Mech. Anal. 139, 291-302 (1997).
• A. Pulvirenti, B. Wennberg, A Maxwellian lower bound for solutions to the Boltzmann equation,
  Commun. Math. Phys. 183, 145-160 (1997).
• C. Carlen, M. Carvalho, B. Wennberg: Entropic Convergence for Solutions of the Boltzmann Equation with General Physical Initial Data,
  Transport Theory Stat. Phys. 26(3), 373-378 (1997).
• B. Wennberg, Entropy dissipation and moment production for the Boltzmann equation,
  J. Stat. Phys. 86 (5/6), 1053-1066 (1997).
• P. Gerard, F. Golse, B. Wennberg, A compactness result for generalized Radon transforms,
  Math. Res. Letters 3, 491-498, (1996).
• E. Gabetta, G. Toscani, B. Wennberg, Metrics for probability measures and the trend to equilibrium for solutions of the Boltzmann equation,
  J. Stat. Phys. 81 no 5/6, 901-934 (1995).
• B. Wennberg, Stability and exponential convergence for the Boltzmann equation,
  Arch. Rational Mech. Anal. 130, 103-144 (1995).
• B. Wennberg, Regularity in the Boltzmann equation and the Radon transform,
  Comm. P.D.E. 19 , no 11-12, 2057-2074 (1994).
• B. Wennberg, On an entropy dissipation inequality for the Boltzmann equation,
  C.R. Acad. Sci. Paris, t. 315, S'erie I, p. 1441-1446, (1992).
• A. Palczewski, B. Wennberg, The Boltzmann equation with weakly inhomogeneous data and a source term,
  Transport Theory Stat. Phys. 19(6), 489-513 (1990).

Yosief Wondmagegne

• Mathematical and computational aspects of the kinetic theory of gases; differential equations and mathematical modelling.

      List of publications:

• B. Wennberg, Y. Wondmagegne: Stationary states for the Kac equation with a Gaussian thermostat, Nonlinearity 17 633-648 (2004). (2003).
• Y. Wondmagegne: Kac's Master Equation with a Gaussian Thermostat, Licentiate thesis, Chalmers (2002)