in reverse chronological order

  • Hakan Andreasson , Markus Kunze, Gerhard Rein
     Existence of axially symmetric static solutions of the Einstein-Vlasov system, pdf
     Commun. Math. Phys., to appear
  •  Hakan Andreasson, Gerhard Rein
    Formation of trapped surfaces for the spherically symmetric Einstein-Vlasov system,  pdf.
     J. Hyperbolic Differential Eqns. 7, 707-731 (2010)
    original publication DOI No: 10.1142/S0219891610002268
  • Hakan Andreasson , Markus Kunze, Gerhard Rein
    The formation of black holes in spherically symmetric gravitational collapse, pdf.
    Mathematische Annalen
    original publication DOI: 10.1007/s00208-010-0578-3.
  •  Hakan Andreasson, Gerhard Rein
    The asymptotic behaviour in Schwarzschild time of Vlasov matter in spherically symmetric gravitational collapse, pdf.
    Math. Proc. Camb. Phil. Soc. 149 (2010), 173-188
    original publication DOI: 10.1017/S0305004109990454
  • Hakan Andreasson , Markus Kunze, Gerhard Rein
    Gravitational collapse and the formation of black holes for the spherically symmetric Einstein-Vlasov system, pdf.
    Quarterly of Applied Math. LXVIII (2010), 17-42
  • Martin Seehafer
    A local existence result for a plasma model containing a fully coupled magnetic field, pdf.
    Kinet. Relat. Models, no. 3, 503-520 (2009)
  • Hakan Andreasson, Mikael Eklund, Gerhard Rein
    A numerical investigation of the steady states of the spherically symmetric Einstein-Vlasov-Maxwell system, pdf.
    Class. Quantum Grav. 26 (2009) 145003 (20pp)
    original publication DOI: 10.1088/0264-9381/26/14/145003
  • Roman Firt, Gerhard Rein, Martin Seehafer
    Flat galaxies with dark matter halos - existence and stability, pdf.
    Commun. Math. Phys. 291, 225 - 255 (2009)
    original publication DOI: 10.1007/s00220-009-0872-7
  • Hakan Andreasson , Markus Kunze, Gerhard Rein
    Global existence for the spherically symmetric Einstein-Vlasov system with outgoing matter, pdf.
    Commun. Partial Differential Eqns. 33, 656-668 (2008)
    original publication DOI: 10.1080/03605300701454883
  • Achim Schulze
    Existence of axially symmetric solutions to the Vlasov-Poisson system depending on Jacobi's integral, pdf.
    Commun. Math. Sci, 6, 711-727 (2008)
  • Dr. Martin Seehafer
    Global classical solutions of the Vlasov-Darwin system for small initial data, pdf.
    Commun. math. Sci. 6, 749-764 (2008)
  • Mahir Hadzic, Gerhard Rein
    Global existence and nonlinear stability for the relativistic Vlasov-Poisson system in the gravitational case, pdf.
    Indiana Univ. Math. J. 56, 2453-2488 (2007)
    The original publication is available here.
  • Hakan Andreasson, Gerhard Rein
    On the steady states of the spherically symmetric Einstein-Vlasov system, pdf.
    Class. Quantum Grav. 24, 1809-1832 (2007)
  • Yan Guo, Gerhard Rein
    A non-variational approach to nonlinear stability in stellar dynamics applied to the King model, pdf.
    Commun. Math. Phys. 271, 489-509 (2007)
    original publication DOI: 10.1007/s00220-007-0212-8
  • Gerhard Rein
    Collisionless Kinetic Equations from Astrophysics---The Vlasov-Poisson System, pdf.
    Handbook of Differential Equations, Evolutionary Equations. Vol. 3.
    Eds. C.M. Dafermos and E. Feireisl, Elsevier (2007)
  • Roman Firt
    Stability of disk-like galaxies---Part II: The Kuzmin disk,
    pdf.
    Analysis 27, 405 - 424 (2007)
  • Roman Firt, Gerhard Rein
    Stability of disk-like galaxies---Part I: Stability via reduction,
     pdf.
    Analysis 26, 507-525 (2006)
    DOI: 10.1524/anly.2006.26.4.507
  • Hakan Andreasson, Gerhard Rein
    A numerical investigation of the stability of steady states and critical phenomena for the spherically symmetric Einstein-Vlasov system, pdf.
    Class. Quantum Grav. 23 (2006) 3659-3677
  • S. Bauer, M. Kunze, Gerhard Rein, A. D. Rendall
    Multipole Radiation in a Collisionless Gas Coupled to Electromagnetism or Scalar Gravitation, pdf.
    Commun. Math. Phys. 266, 267-288 (2006)
    The original publication is available at http://dx.doi.org/10.1007/s00220-006-0015-3
  • Achim Schulze
    Existence and stability of static shells for the Vlasov-Poisson system, pdf.
    Analysis 26, 527-543 (2006)
  • Michael Kunzinger , Gerhard Rein, Roland Steinbauer , Gerald Teschl
    On classical solutions of the relativistic Vlasov-Klein-Gordon system, pdf.
    Electronic Journal of Diff. Eqns. No 1, Vol. 2005, 1 - 17 (2005)
  • Hakan Andreasson, Simone Calogero, Gerhard Rein
    Global classical solutions to the spherically symmetric Nordström-Vlasov system, pdf.
    Math. Proc. Camb. Phil. Soc. 138, 533 - 539 (2005)
    Digital Object Identifier (DOI) 10.1017/S0305004105008467
  • Simone Calogero, Gerhard Rein
    Global weak solutions to the Nordström-Vlasov system, pdf.
    Journal of Differential Equations, Vol. 204, 323 - 338 (2004)
  • Gerhard Rein
    Global weak solutions to the relativistic Vlasov-Maxwell system revisited, pdf.
    Commun. Math. Sci. Vol. 2, No. 2, 145 - 158 (2004)
  • Gerhard Rein
    On future geodesic completeness for the Einstein-Vlasov system with hyperbolic symmetry, pdf.
    Math. Proc. Camb. Phil. Soc. 137, 237 - 244 (2004)
  • Simone Calogero, Gerhard Rein
    On classical solutions of the Nordström-Vlasov system, pdf.
    Commun. Partial Differential Eqns. 28, 1863 - 1885 (2003)
  • Gerhard Rein
    Non-linear stability of gaseous stars, pdf.
    Arch. Rational Mech. Anal. 168, 115 - 130 (2003)
    The original publication is available at http://link.springer.de
    Digital Object Identifier (DOI) 10.1007/s00205-003-0260-y
  • Michael Kunzinger , Gerhard Rein, Roland Steinbauer , Gerald Teschl
    Global weak solutions of the relativistic Vlasov-Klein-Gordon system, pdf.
    Commun. Math. Phys. 238, 367-378 (2003)
    The original publication is available at http://link.springer.de
    DOI 10.1007/s00220-003-0861-1
  • Yan Guo, Gerhard Rein
    Stable models of elliptical galaxies, pdf.
    Mon. Not. R. Astron. Soc. 344, 1296 -1306 (2003)
  • Gerhard Rein, Thomas Rodewis
    Convergence of a particle-in-cell scheme for the spherically symmetric Vlasov-Einstein system, pdf.
    Indiana University Mathematics Journal 52, 821 - 862 (2003)
    The original publication is available here.
  • Hakan Andreasson, Gerhard Rein,  A. D. Rendall
    On the Einstein-Vlasov system with hyperbolic symmetry, pdf.
    Math. Proc. Camb. Phil. Soc., 134, 529 - 549 (2003)
  • Gerhard Rein
    Reduction and a concentration-compactness principle  for energy-Casimir functionals, pdf.
    SIAM Journal on Mathematical Analysis, 33, 896 - 912 (2002)
  • P. Markowich, Gerhard Rein, G. Wolansky
    Existence and nonlinear stability of steady states of the Schrödinger-Poisson system, pdf.
    Journal of Statistical Physics 106 (5/6), 1221-1239 (2002)
  • Gerhard Rein
    Stability of spherically symmetric steady states in galactic dynamics against general perturbations, pdf.
    Arch. Rational Mech. Anal. 161, 27-42 (2002)
    The original publication is available at http://link.springer.de
    Digital Object Identifier (DOI) 10.1007/s0020500100167
  • Yan Guo, Gerhard Rein
    Isotropic steady states in galactic dynamics, pdf.
    Commun. Math. Phys, 219, 607 - 629 (2001)
  • Yan Guo, Gerhard Rein
    Isotropic steady states in galactic dynamics revised,
     pdf.
  • Jean Dolbeault, Gerhard Rein
    Time-dependent rescalings and Lyapunov functionals for the Vlasov-Poisson and Euler-Poisson systems, and for related models of kinetic equations, fluid dynamics and quantum physics, pdf.
    Math. Models Methods Appl. Sci. 11, 407 - 432 (2001)
  • Gerhard Rein
    Stationary and static stellar dynamic models with axial symmetry, pdf.
    Nonlinear Analysis; Theory, Methods & Applications 41, 313 - 344 (2000)
  • Gerhard Rein, A. D. Rendall
    Compact support of spherically symmetric equilibria in non-relativistic and relativistic galactic dynamics, pdf.
    Math. Proc. Camb. Phil. Soc. 128, 363-380 (2000)
  • Yan Guo, Gerhard Rein
    Existence and stability of Camm type steady states in galactic dynamics, pdf.
    Indiana University Mathematics Journal 48, 1237 - 1255 (1999)
  • Gerhard Rein
    Static shells for the Vlasov-Poisson and Vlasov-Einstein systems, pdf.
    Indiana University Mathematics Journal 48, 335-346 (1999)
  • Gerhard Rein
    Flat steady states in stellar dynamics - existence and stability, pdf.
    Commun. Math. Phys. 205, 229-247 (1999)
  • Yan Guo, Gerhard Rein
    Stable steady states in stellar dynamics, pdf.
    Arch. Rational Mech. Anal. 147, 225-243 (1999)
  • P. Braasch, G. Rein, J. Vukadinovic
    Nonlinear stability of stationary plasmas - an extension of the energy-Casimir method, pdf.
    SIAM Journal in Appl. Math. 59, 831-844 (1999)
  • Gerhard Rein, A. D. Rendall , J. Schaeffer
    Critical collapse of collisionless matter - a numerical investigation, pdf.
    Physical Reviews D, Vol. 58, article number 044007 (1998)
  • J. Batt, M. Kunze, G. Rein
    On the asymptotic behaviour of a one-dimensional, monocharged plasma and a rescaling method, pdf.
    Advances in Differential Equations 3, 271-292 (1998)
  • Gerhard Rein
    Growth estimates for the solutions of the Vlasov-Poisson system in the plasma physics case, pdf.
    Math. Nachrichten 191, 269-278 (1998)
  • Gerhard Rein
    Selfgravitating systems in Newtonian theory-the Vlasov-Poisson system, pdf.
    Proceedings of the Minisemester on Mathematical Aspects of Theories of Gravitation 1996,
    Banach Center Publications 41, part I, 179--194 (1997)
  • Gerhard Rein
    Nonlinear stability of homogeneous models in Newtonian cosmology, pdf.
    Arch. Rational Mech. Anal. 140, 335-351 (1997)
  • R. Illner, G. Rein
    Time decay of the solutions of the Vlasov-Poisson system in the plasma physical case, pdf.
    Math. Meth. in the Appl. Sci. 19, 1409-1413 (1996)
  • Gerhard Rein
    Cosmological solutions of the Vlasov-Einstein system with spherical, plane, or hyperbolic symmetry, pdf.
    Math. Proc. Camb. Phil. Soc. 119, 739-762 (1996)
  • Gerhard Rein
    The Vlasov-Einstein system with surface symmetry, pdf.
    Habilitationsschrift, München 1995
  • J. Batt, P. J. Morrison, G. Rein
    Linear stability of stationary solutions of the Vlasov-Poisson system in three dimensions, pdf.
    Arch. Rational Mech. Anal. 130, 163-182 (1995)
  • A. D. Rendall , G. Rein, J. Schaeffer
    A regularity theorem for the spherically symmetric Vlasov-Einstein system, pdf.
    Commun. Math. Phys. 168, 467-478 (1995)
  • Gerhard Rein
    Nonlinear stability for the Vlasov-Poisson system-the energy-Casimir method, pdf.
    Math. Meth. in the Appl. Sci. 17, 1129-1140 (1994)
    ( abstract )
  • G. Rein, A. D. Rendall
    Global existence of classical solutions to the Vlasov-Poisson system in a three-dimensional, cosmological setting, pdf.
    Arch. Rational Mech. Anal. 126, 183-201 (1994)
    ( abstract )
  • Gerhard Rein
    Static solutions of the spherically symmetric Vlasov-Einstein system, pdf.
    Math. Proc. Camb. Phil. Soc. 115, 559-570 (1994)
    (abstract )
  • G. Rein, A. D. Rendall
    Smooth static solutions of the spherically symmetric Vlasov-Einstein system, pdf.
    Ann. de l'Inst. H. Poincaré, Physique Théorique 59, 383-397 (1993)
    (abstract)
  • J. Batt, G. Rein
    A rigorous stability result for the Vlasov-Poisson system in three dimensions, pdf.
    Anal. di Mat. Pura ed Appl. 164, 133-154 (1993)
    ( abstract )
  • G. Rein,  A. D. Rendall
    The Newtonian limit of the spherically symmetric Vlasov-Einstein system,
    Commun. Math. Phys. 150, 585-591 (1992)
    ( abstract )
     pdf.
  • G. Rein, A. D. Rendall
    Global existence of solutions of the spherically symmetric Vlasov-Einstein system with small initial data
    Commun. Math. Phys. 150, 561-583 (1992)
    (abstract) pdf.
    Erratum: Commun. Math. Phys. 176, 475-478 (1996)
    (abstract)
    pdf.
  • Gerhard Rein
    Existence of stationary, collisionless plasmas on bounded domains, pdf.
    Math. Meth. in the Appl. Sci. 15, 365-374 (1992)
    (abstract)
  • K.-O. Kruse, G. Rein
    A stability result for the relativistic Vlasov-Maxwell system,
    Arch. Rational Mech. Anal. 121, 187-203 (1992)
    (abstract)
    pdf.
  • G. Rein, J. Weckler
    Generic global solutions of the Vlasov-Fokker-Planck-Poisson system in three dimensions,
    J. Differential Eqns. 99, 59-77 (1992)
    (abstract) pdf.
  • J. Batt, G. Rein
    Global classical solutions of the periodic Vlasov-Poisson system in three dimensions,
    C. R. Acad. Sc. Paris 313, 411-416 (1991)
    (abstract)  pdf.
  • Gerhard Rein
    Generic global solutions of the relativistic Vlasov-Maxwell system of plasma physics,
    Commun. Math. Phys. 135, 41-78 (1990)
    (abstract)  pdf.
  • Gerhard Rein
    A two-species plasma in the limit of large ion mass
    Math. Meth. in the Appl. Sci. 13, 159-167 (1990)
    (abstract)
    pdf.
  • G. Farin, G. Rein, N. Sapidis, A. J. Worsey
    Fairing cubic b-spline curves
    Computer Aided Geometric Design 4, 91-103 (1987)
    (abstract)
    pdf.

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