Publications list (in reverse chronological order)

The preprints posted in this webpage may differ slightly from the original publication.
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  1. Kinetic dynamics of neutral spin particles in a spacetime with torsion.
    Acta Phys. Pol. B 56, A3 (2025) (arXiv: 2410.20988)
  2. A First Course in Options Pricing Theory.
    SIAM, Philadelphia (2023) -> Go to SIAM Bookstore
  3. On self-gravitating polytropic elastic balls.  
    Ann. Henri Poincaré 23, 4279-4318 (2022) (arXiv:2104.11126)
  4. (with A. Alho and A. Liljenberg) Self-gravitating static balls of power-law elastic matter. 
    Adv. Theor. Math. Phys. 26, 2885-2908 (2022)  (arXiv:2104.11131)
  5. (with A. Alho) Static self-gravitating Newtonian elastic balls. 
    Archiv. Rat. Mech. Anal. 238, 639--669 (2020)  (arXiv:1907.09970)
  6. (with A. Alho) Multi-body spherically symmetric steady states of Newtonian self-gravitating elastic matter.
    Comm. Math. Phys. 371, 975-1004 (2019) (arXiv:1807.03062)
  7. (with J. Ben-Artzi and S. Pankavich) Concentrating solutions of the relativistic Vlasov-Maxwell system.
    Comm. Math. Sci. 17, 377-392 (2019)  (arXiv:1807.02801)
  8. (with J. Ben-Artzi and S. Pankavich) Arbitrarily large solutions of the Vlasov-Poisson system.
    SIAM J. Math. Anal. 50, 4311–4326 (2018) (arXiv:1708.02307)
  9. (with S. Pankavich) On the spatially homogeneous and isotropic Einstein-Vlasov-Fokker-Planck system with cosmological scalar field.
    Kinetic and Related Models. 11, 1063-1083 (2018)  (arXiv:1606.05101)
  10. (with A. Alho) A stellar model with diffusion in general relativity..
    J. Geom. Phys. 120, 62-72 (2017) (arXiv:1602.02663)
  11. (with A. Alho, M.P. Ramos and A. J. Soares) Dynamics of Robertson-Walker spacetimes with diffusion.
    Annals of Physics 354, 475-488 (2015) (arXiv:1409.4400)
  12. (with Tommaso Leonori) Ground states of self-gravitating elastic bodies.
    Calc. Var. and PDE 54, 881-899 (2015) (arXiv:1208.1792)
  13. (with José Antonio Alcántara and Stephen Pankavich) Spatially homogeneous solutions of the Vlasov-Nordström-Fokker-Planck system.
    J. Differential. Eqs. 257, 3700-3729 (2014) (arXiv:1403.3641 )
  14. (with Hermano Velten) Exploring non-linear cosmological matter diffusion coefficient..
    Gravitation, Relativistic Astrophysics and Cosmology. Proceedings of 2nd Argentinian-Brazilian meeting  (2014) ( arXiv:1407.4306)
  15. (with H. Andréasson) Spherically symmetric steady states of elastic bodies in general relativity.
    Class. Quantum Grav. 31 165008 (2014) (arXiv:1403.2565 )
  16. (with Hermano Velten) Cosmology with matter diffusion.
    J. Cosm. Astrop. Phys. 11/2013, 025 (2013) ( arXiv:1308.3393)
  17. (with José Antonio Alcántara) Newtonian limit and trend to equilibrium for the relativistic Fokker-Planck equation.
    J. Math. Phys. 54, 031502 (2013) (arXiv:1107.5140)
  18. Cosmological models with fluid matter undergoing velocity diffusion.
    J. Geom. Phys. 62 , 2208–2213 (2012) (arXiv:1202.4888)
  19. Exponential convergence to equilibrium for kinetic Fokker-Planck equations.
    Comm. Part. Diff. Eqns. 37 , 1357-1390 (2012) (arXiv:1009.5086)
  20. A kinetic theory of diffusion in general relativity with cosmological scalar field.
    J. Cosm. Astrop. Phys. 11/2011, 016 (arXiv:1107.4973)
    → Errata

    In the definitions of Ekin on pages 4 and 5, the integration is over R6.
    The factors p0 in eqs. (11) and (13) should be replaced by p0.
    In the origin publication it is stated that the particles loose energy by diffusion and that this energy is transferred to the background medium.
    However the correct interpretation of the model is that the particles gain energy by diffusion and that this energy is provided by the background medium.
    This statement has been corrected in the version of the paper posted here.
  21. (with José Antonio Alcántara) On a relativistic Fokker-Planck equation in kinetic theory.
    Kinetic and Related Models 4 , 401-426 (2011) (arXiv:1011.5429)
    → Errata

    On page 2, line 10:
    "A questionable feature of equation (1) is that the diffusion term σΔpƒ..." should read
    "A questionable feature of equation (1) is that the transport-diffusion term -p⋅∇xƒ+σΔpƒ..."

    The sentence starting on line 5, page 4: "For instance, equation (1) is obtained from (4) ...", and consequently the footnote 2 on pag. 4, are incorrect. In fact, since the diffusion matrix and the diffusion coefficient in equation (4) are constant, then Ito's and Stratonovich formula applied to (4) give rise to the same Fokker-Planck equation (1). However the remark applies to the relativistic Fokker-Planck equation (2), because D=D(p).
  22. (with J. M. Heinzle) Bianchi Cosmologies with Anisotropic Matter: Locally Rotationally Symmetric Models.
    Physica D: Nonlin. Phen. 240 , 636-669 (2011) (arXiv:0809.1008)
    → Errata

    On page 49, line 8 following eq. (87): The sentence "which ensures that ρ>0" can be removed. In fact, the property ρ>0 is not a consequence of the split support assumption, but rather it follows by the definition of ρ, see eq. (88a), and the fact that ƒ0 is not chosen identically zero.
  23. (with J. M. Heinzle) Oscillations toward the singularity of LRS Bianchi type IX cosmological models with Vlasov matter.
    SIAM J. Appl. Dyn. Syst. 9, 1244-1262 (2010) (arXiv:1011.3982)
  24. (with J. Calvo, O. Sánchez and J. Soler) Virial inequalities for steady states in relativistic galactic dynamics.
     Nonlinearity 23, 1851-1871 (2010) (arXiv:0912.3240)
  25. (with J. M. Heinzle) Asymptotics of LRS Bianchi type I cosmological models with elastic matter.
    General Rel. and Grav. 42, 1491-1512 (2010) (arXiv:0708.3927)
  26. (with J. Calvo, O. Sánchez and J. Soler) Dispersive behavior in Galactic Dynamics.
     Discr. Cont. Dyn. Syst., series B 14, 1-16 (2010) (arXiv:0909.0166)
  27. (with J. M. Heinzle) Closed cosmological models that satisfy the strong energy condition but do not recollapse.
    Phys. Rev. D 81, 023520 (2010) (arXiv:1002.1913)
  28. (with O. Sánchez and J. Soler) Asymptotic behavior and orbital stability of galactic dynamics in relativistic scalar gravity.
    Arch. Rat. Mech. Anal. 194, 743-773 (2009) (arXiv:0707.3211)
  29. (with J. M. Heinzle) Dynamics of Bianchi type I solutions of the Einstein equations with anisotropic matter.
    Ann. Henri Poincaré 10, 225-274 (2009) (arXiv:0809.1008)
  30. (with J. M. Heinzle) Dynamics of Bianchi I elastic spacetimes.
    Class. Quantum Grav. 24, 5173-5199 (2007) (arXiv:0706.3823)
  31. A mathematical theory of isolated systems in relativistic plasma physics.
    J. Hyperbolic Diff. Eqns. 4, 267-294 (2007) (arXiv:math-ph/0606031)
  32. Global classical solutions to the 3D Nordström-Vlasov system.
    Comm. Math. Phys. 266, 343-353 (2006) (arXiv:math-ph/0507030)
  33. On a characteristic initial value problem in plasma physics.
     Ann. Henri Poincaré 7, 233-252 (2006) (arXiv:math-ph/0503038)
  34. (with H. Andréasson and G. Rein) Global classical solutions to the spherically symmetric Nordström-Vlasov system.
     Math. Proc. Camb. Phil. Soc. 138, 533-539 (2005) (arXiv:gr-qc/0311027)
  35. (with H. Andréasson and R. Illner) On Blowup for Gain-Term-Only classical and relativistic Boltzmann equations.
     Math. Meth. Appl. Sci. 27, 2231-2240 (2004) (arXiv:math-ph/0402024)
  36. The Newtonian limit of the relativistic Boltzmann equation.
     J. Math. Phys. 45, 4042-4052 (2004) (arXiv:math-ph/0404043)
  37. (with G. Rein) Global weak solutions to the Nordström-Vlasov system.
     J. Differential Equations, Vol. 204/2, 323-338 (2004) (arXiv:math-ph/0309046)
  38. (with H. Lee) The non relativistic limit of the Nordström-Vlasov system.
     Comm. Math. Sci. 2, 19-34 (2004) (arXiv:math-ph/0309030)
  39. Outgoing radiation from an isolated collisionless plasma.
     Ann. Henri Poincaré 5, 189-201 (2004) (arXiv:math-ph/0305052)
  40. Global Small Solutions of the Vlasov-Maxwell System in the Absence of Incoming Radiation.
     Indiana Univ. Math. Journal 53, 1331-1364 (2004) (arXiv:math-ph/0211013)
  41. (with G. Rein) On classical solutions of the Nordström-Vlasov system.
     Comm. Partial Diff. Eqns. 28, 1863-1885 (2003) (arXiv:math-ph/0304021)
  42. Spherically symmetric steady states of galactic dynamics in scalar gravity.
     Class. Quantum Grav. 20, 1729-1741 (2003) (arXiv:math-ph/0301031)