Veröffentlichungen "Rein, Gerhard"

2023

Rein, Gerhard:
Stability and instability results for equilibria of a (relativistic) self-gravitating collisionless gas : a review.
In: Classical and Quantum Gravity. Bd. 40 (2023) . - 193001.
ISSN 1361-6382
DOI: https://doi.org/10.1088/1361-6382/acf436

2022

Günther, Sebastian ; Rein, Gerhard:
The Einstein-Vlasov system in maximal areal coordinates : Local existence and continuation.
In: Kinetic & Related Models. Bd. 15 (2022) Heft 4 . - S. 681-719.
ISSN 1937-5077
DOI: https://doi.org/10.3934/krm.2021040

Hadžić, Mahir ; Rein, Gerhard ; Straub, Christopher:
On the Existence of Linearly Oscillating Galaxies.
In: Archive for Rational Mechanics and Analysis. Bd. 243 (2022) . - S. 611-696.
ISSN 1432-0673
DOI: https://doi.org/10.1007/s00205-021-01734-4

2021

Günther, Sebastian ; Straub, Christopher ; Rein, Gerhard:
Collisionless Equilibria in General Relativity : Stable Configurations beyond the First Binding Energy Maximum.
In: The Astrophysical Journal. Bd. 918 (2021) Heft 2 . - 48.
ISSN 1538-4357
DOI: https://doi.org/10.3847/1538-4357/ac0eef

Günther, Sebastian ; Körner, Jacob ; Lebeda, Timo ; Pötzl, Bastian ; Rein, Gerhard ; Straub, Christopher ; Weber, Jörg:
A numerical stability analysis for the Einstein–Vlasov system.
In: Classical and Quantum Gravity. Bd. 38 (2021) Heft 3 . - 035003.
ISSN 1361-6382
DOI: https://doi.org/10.1088/1361-6382/abcbdf

Hadžić, Mahir ; Lin, Zhiwu ; Rein, Gerhard:
Stability and instability of self-gravitating relativistic matter distributions.
In: Archive for Rational Mechanics and Analysis. Bd. 241 (2021) . - S. 1-89.
ISSN 1432-0673
DOI: https://doi.org/10.1007/s00205-021-01647-2

Körner, Jacob ; Rein, Gerhard:
Strong Lagrangian solutions of the (relativistic) Vlasov-Poisson system for non-smooth, spherically symmetric data.
In: SIAM Journal on Mathematical Analysis. Bd. 53 (2021) Heft 4 . - S. 4985-4996.
ISSN 1095-7154
DOI: https://doi.org/10.1137/20M1378910

2020

Rein, Gerhard ; Straub, Christopher:
On the transport operators arising from linearizing the Vlasov-Poisson or Einstein-Vlasov system about isotropic steady states.
In: Kinetic & Related Models. Bd. 13 (2020) Heft 5 . - S. 933-949.
ISSN 1937-5077
DOI: https://doi.org/10.3934/krm.2020032

2018

Rein, Gerhard:
The asymptotic behavior of solutions to the repulsive n-body problem.
In: SIAM Journal on Mathematical Analysis. Bd. 50 (2018) Heft 1 . - S. 1-4.
ISSN 1095-7154
DOI: https://doi.org/10.1137/17M1116271

Ramming, Tobias ; Rein, Gerhard:
Oscillating solutions of the Vlasov–Poisson system : A numerical investigation.
In: Physica D: Nonlinear Phenomena. Bd. 365 (2018) . - S. 72-79.
ISSN 0167-2789
DOI: https://doi.org/10.1016/j.physd.2017.10.013

2017

Ramming, Tobias ; Rein, Gerhard:
Mass-radius spirals for steady state families of the Vlasov-Poisson system.
In: Archive for Rational Mechanics and Analysis. Bd. 224 (2017) . - S. 1127-1159.
ISSN 1432-0673
DOI: https://doi.org/10.1007/s00205-017-1098-z

2016

Rein, Gerhard ; Taegert, Lukas:
Gravitational collapse and the Vlasov-Poisson system.
In: Annales Henri Poincaré. Bd. 17 (2016) Heft 6 . - S. 1415-1427.
ISSN 1424-0661
DOI: https://doi.org/10.1007/s00023-015-0424-y

2015

Rein, Gerhard:
Galactic dynamics in MOND : Existence of equilibria with finite mass and compact support.
In: Kinetic & Related Models. Bd. 8 (2015) Heft 2 . - S. 381-394.
ISSN 1937-5077
DOI: https://doi.org/10.3934/krm.2015.8.381

Andréasson, Håkan ; Rein, Gerhard:
On the rotation curves for axially symmetric disk solutions of the Vlasov-Poisson system.
In: Monthly Notices of the Royal Astronomical Society. Bd. 446 (2015) Heft 4 . - S. 3932-3942.
ISSN 1365-2966
DOI: https://doi.org/10.1093/mnras/stu2346

Hadžić, Mahir ; Rein, Gerhard:
On the small redshift limit of steady states of the spherically symmetric Einstein-Vlasov system and their stability.
In: Mathematical Proceedings of the Cambridge Philosophical Society. Bd. 159 (2015) Heft 3 . - S. 529-546.
ISSN 0305-0041
DOI: https://doi.org/10.1017/S0305004115000511

2014

Andréasson, Håkan ; Kunze, Markus ; Rein, Gerhard:
Rotating, stationary, axially symmetric spacetimes with collisionless matter.
In: Communications in Mathematical Physics. Bd. 329 (2014) Heft 2 . - S. 787-808.
ISSN 1432-0916
DOI: https://doi.org/10.1007/s00220-014-1904-5

2013

Korch, Matthias ; Ramming, Tobias ; Rein, Gerhard:
Parallelization of particle-in-cell codes for nonlinear kinetic models from mathematical physics.
In: International Conference on Parallel Processing, The 42nd Annual Conference ICPP 2013 : Proceedings ; 1 - 4 October 2013 Lyon, France. - Los Alamitos, CA : IEEE , 2013 . - S. 523-529
ISBN 978-0-7695-5117-3
DOI: https://doi.org/10.1109/ICPP.2013.65

Ramming, Tobias ; Rein, Gerhard:
Spherically symmetric equilibria for self-gravitating kinetic or fluid models in the non-relativistic and relativistic case : A simple proof for finite extension.
In: SIAM Journal on Mathematical Analysis. Bd. 45 (2013) Heft 2 . - S. 900-914.
ISSN 1095-7154
DOI: https://doi.org/10.1137/120896712

Hadžić, Mahir ; Rein, Gerhard:
Stability for the spherically symmetric Einstein-Vlasov system : a coercivity estimate.
In: Mathematical Proceedings of the Cambridge Philosophical Society. Bd. 155 (2013) Heft 3 . - S. 529-556.
ISSN 0305-0041
DOI: https://doi.org/10.1017/S030500411300056X

2011

Andréasson, Håkan ; Kunze, Markus ; Rein, Gerhard:
Existence of axially symmetric static solutions of the Einstein-Vlasov system.
In: Communications in Mathematical Physics. Bd. 308 (2011) . - S. 23-47.
ISSN 1432-0916
DOI: https://doi.org/10.1007/s00220-011-1324-8

Andréasson, Håkan ; Kunze, Markus ; Rein, Gerhard:
The formation of black holes in spherically symmetric gravitational collapse.
In: Mathematische Annalen. Bd. 350 (2011) Heft 3 . - S. 683-705.
ISSN 1432-1807
DOI: https://doi.org/10.1007/s00208-010-0578-3

2010

Andréasson, Håkan ; Rein, Gerhard:
The asymptotic behaviour in Schwarzschild time of Vlasov matter in spherically symmetric gravitational collapse.
In: Mathematical Proceedings of the Cambridge Philosophical Society. Bd. 149 (2010) Heft 1 . - S. 173-188.
ISSN 0305-0041
DOI: https://doi.org/10.1017/S0305004109990454

Andréasson, Håkan ; Rein, Gerhard:
Formation of trapped surfaces for the spherically symmetric Einstein-Vlasov system.
In: Journal of Hyperbolic Differential Equations. Bd. 7 (2010) Heft 4 . - S. 707-731.
ISSN 1793-6993
DOI: https://doi.org/10.1142/S0219891610002268

Andréasson, Håkan ; Kunze, Markus ; Rein, Gerhard:
Gravitational collapse and the formation of black holes for the spherically symmetric Einstein-Vlasov system.
In: Quarterly of Applied Mathematics. Bd. 68 (2010) Heft 1 . - S. 17-42.
ISSN 1552-4485

2009

Firt, Roman ; Rein, Gerhard ; Seehafer, Martin:
Flat galaxies with dark matter halos : existence and stability.
In: Communications in Mathematical Physics. Bd. 291 (2009) Heft 1 . - S. 225-255.
ISSN 1432-0916
DOI: https://doi.org/10.1007/s00220-009-0872-7

Andréasson, Håkan ; Rein, Gerhard ; Eklund, Mikael:
A numerical investigation of the steady states of the spherically symmetric Einstein-Vlasov-Maxwell system.
In: Classical and Quantum Gravity. Bd. 26 (2009) Heft 14 . - 145003.
ISSN 1361-6382
DOI: https://doi.org/10.1088/0264-9381/26/14/145003

2008

Andréasson, Håkan ; Kunze, Markus ; Rein, Gerhard:
Global existence for the spherically symmetric Einstein-Vlasov system with outgoing matter.
In: Communications in Partial Differential Equations. Bd. 33 (2008) Heft 4 . - S. 656-668.
ISSN 1532-4133
DOI: https://doi.org/10.1080/03605300701454883

2007

Rein, Gerhard:
Collisionless Kinetic Equations from Astrophysics : The Vlasov-Poisson System.
In: Dafermos,Constantine M.; Feireisl, E. (Hrsg.): Handbook of Differential Equations : Evolutionary Equations. Vol. 3. - Amsterdam : Elsevier , 2007 . - S. 383-476
ISBN 978-0-444-52848-3
DOI: https://doi.org/10.1016/S1874-5717(07)80008-9

Hadžić, Mahir ; Rein, Gerhard:
Global existence and nonlinear stability for the relativistic Vlasov-Poisson system in the gravitational case.
In: Indiana University Mathematics Journal. Bd. 56 (2007) Heft 5 . - S. 2453-2488.
ISSN 0022-2518
DOI: https://doi.org/10.1512/iumj.2007.56.3064

Guo, Yan ; Rein, Gerhard:
A non-variational approach to nonlinear stability in stellar dynamics applied to the King model.
In: Communications in Mathematical Physics. Bd. 271 (2007) Heft 2 . - S. 489-509.
ISSN 1432-0916
DOI: https://doi.org/10.1007/s00220-007-0212-8

Andréasson, Håkan ; Rein, Gerhard:
On the steady states of the spherically symmetric Einstein-Vlasov system.
In: Classical and Quantum Gravity. Bd. 24 (2007) Heft 7 . - S. 1809-1832.
ISSN 1361-6382
DOI: https://doi.org/10.1088/0264-9381/24/7/008

2006

Bauer, Sebastian ; Kunze, Markus ; Rein, Gerhard ; Rendall, Alan D.:
Multipole radiation in a collisionless gas coupled to electromagnetism or scalar gravitation.
In: Communications in Mathematical Physics. Bd. 266 (2006) Heft 1 . - S. 267-288.
ISSN 1432-0916
DOI: https://doi.org/10.1007/s00220-006-0015-3

Andréasson, Håkan ; Rein, Gerhard:
A numerical investigation of the stability of steady states and critical phenomena for the spherically symmetric Einstein-Vlasov system.
In: Classical and Quantum Gravity. Bd. 23 (2006) Heft 11 . - S. 3659-3677.
ISSN 1361-6382
DOI: https://doi.org/10.1088/0264-9381/23/11/001

Firt, Roman ; Rein, Gerhard:
Stability of disk-like galaxies : Part I: Stability via reduction.
In: Analysis. Bd. 26 (2006) Heft 4 . - S. 507-525.
ISSN 0174-4747
DOI: https://doi.org/10.1524/anly.2006.26.4.507

2005

Andréasson, Håkan ; Calogero, Simone ; Rein, Gerhard:
Global classical solutions to the spherically symmetric Nordström-Vlasov system.
In: Mathematical Proceedings of the Cambridge Philosophical Society. Bd. 138 (2005) Heft 3 . - S. 533-539.
ISSN 0305-0041
DOI: https://doi.org/10.1017/S0305004105008467

Rein, Gerhard:
Nonlinear Stability of Newtonian Galaxies and Stars from a Mathematical Perspective.
In: Annals of the New York Academy of Sciences. Bd. 1045 (2005) . - S. 103-119.
ISSN 1749-6632
DOI: https://doi.org/10.1196/annals.1350.010

Kunzinger, Michael ; Rein, Gerhard ; Steinbauer, Roland ; Teschl, Gerald:
On classical solutions of the relativistic Vlasov-Klein-Gordon system.
In: Electronic Journal of Differential Equations. Bd. 2005 (2005) Heft 1 . - S. 1-17.
ISSN 1072-6691

2004

Calogero, Simone ; Rein, Gerhard:
Global weak solutions to the Nordström-Vlasov system.
In: Journal of Differential Equations. Bd. 204 (2004) Heft 2 . - S. 323-338.
ISSN 1090-2732
DOI: https://doi.org/10.1016/j.jde.2004.02.011

Rein, Gerhard:
Global weak solutions to the relativistic Vlasov-Maxwell system revisited.
In: Communications in Mathematical Sciences. Bd. 2 (2004) Heft 2 . - S. 145-158.
ISSN 1945-0796
DOI: https://doi.org/10.4310/CMS.2004.v2.n2.a1

Rein, Gerhard:
On future geodesic completeness for the Einstein-Vlasov system with hyperbolic symmetry.
In: Mathematical Proceedings of the Cambridge Philosophical Society. Bd. 137 (2004) Heft 1 . - S. 237-244.
ISSN 0305-0041
DOI: https://doi.org/10.1017/S0305004103007485

2003

Rein, Gerhard ; Rodewis, Thomas:
Convergence of a particle-in-cell scheme for the spherically symmetric Vlasov-Einstein system.
In: Indiana University Mathematics Journal. Bd. 52 (2003) Heft 4 . - S. 821-862.
ISSN 0022-2518
DOI: https://doi.org/10.1512/iumj.2003.52.2363

Kunzinger, Michael ; Rein, Gerhard ; Steinbauer, Roland ; Teschl, Gerald:
Global weak solutions of the relativistic Vlasov-Klein-Gordon system.
In: Communications in Mathematical Physics. Bd. 238 (2003) Heft 1-2 . - S. 367-378.
ISSN 1432-0916
DOI: https://doi.org/10.1007/s00220-003-0861-1

Rein, Gerhard:
Non-linear stability of gaseous stars.
In: Archive for Rational Mechanics and Analysis. Bd. 168 (2003) Heft 2 . - S. 115-130.
ISSN 1432-0673
DOI: https://doi.org/10.1007/s00205-003-0260-y

Calogero, Simone ; Rein, Gerhard:
On classical solutions of the Nordström-Vlasov system.
In: Communications in Partial Differential Equations. Bd. 28 (2003) Heft 11-12 . - S. 1863-1885.
ISSN 1532-4133
DOI: https://doi.org/10.1081/PDE-120025488

Andréasson, Håkan ; Rein, Gerhard ; Rendall, Alan D.:
On the Einstein-Vlasov system with hyperbolic symmetry.
In: Mathematical Proceedings of the Cambridge Philosophical Society. Bd. 134 (2003) Heft 3 . - S. 529-549.
ISSN 0305-0041
DOI: https://doi.org/10.1017/S0305004102006606

Guo, Yan ; Rein, Gerhard:
Stable models of elliptical galaxies.
In: Monthly Notices of the Royal Astronomical Society. Bd. 344 (2003) Heft 4 . - S. 1296-1306.
ISSN 1365-2966
DOI: https://doi.org/10.1046/j.1365-8711.2003.06920.x

2002

Markowich, Peter A. ; Rein, Gerhard ; Wolansky, Gershon:
Existence and nonlinear stability of steady states of the Schrödinger-Poisson system.
In: Journal of Statistical Physics. Bd. 106 (2002) Heft 5-6 . - S. 1221-1239.
ISSN 1572-9613
DOI: https://doi.org/10.1023/A:1014050206769

Rein, Gerhard:
Reduction and a concentration-compactness principle for energy-Casimir functionals.
In: SIAM Journal on Mathematical Analysis. Bd. 33 (2002) Heft 4 . - S. 896-912.
ISSN 1095-7154
DOI: https://doi.org/10.1137/P0036141001389275

Rein, Gerhard:
Stability of spherically symmetric steady states in galactic dynamics against general perturbations.
In: Archive for Rational Mechanics and Analysis. Bd. 161 (2002) Heft 1 . - S. 27-42.
ISSN 1432-0673
DOI: https://doi.org/10.1007/s002050100167

2001

Guo, Yan ; Rein, Gerhard:
Isotropic steady states in galactic dynamics.
In: Communications in Mathematical Physics. Bd. 219 (2001) . - S. 607-629.
ISSN 1432-0916
DOI: https://doi.org/10.1007/s002200100434

Dolbeault, Jean ; Rein, Gerhard:
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.
In: Mathematical Models and Methods in Applied Sciences. Bd. 11 (2001) Heft 3 . - S. 407-432.
ISSN 0218-2025
DOI: https://doi.org/10.1142/S021820250100091X

2000

Rein, Gerhard ; Rendall, Alan D.:
Compact support of spherically symmetric equilibria in non-relativistic and relativistic galactic dynamics.
In: Mathematical Proceedings of the Cambridge Philosophical Society. Bd. 128 (2000) Heft 2 . - S. 363-380.
ISSN 0305-0041

Rein, Gerhard:
Stationary and static stellar dynamic models with axial symmetry.
In: Nonlinear Analysis : Theory, Methods & Applications. Bd. 41 (2000) Heft 3-4 . - S. 313-344.
ISSN 0362-546X
DOI: https://doi.org/10.1016/S0362-546X(98)00280-6

1999

Guo, Yan ; Rein, Gerhard:
Existence and stability of Camm type steady states in galactic dynamics.
In: Indiana University Mathematics Journal. Bd. 48 (1999) Heft 4 . - S. 1237-1255.
ISSN 0022-2518
DOI: https://doi.org/10.1512/iumj.1999.48.1819

Rein, Gerhard:
Flat steady states in stellar dynamics : existence and stability.
In: Communications in Mathematical Physics. Bd. 205 (1999) Heft 1 . - S. 229-247.
ISSN 1432-0916
DOI: https://doi.org/10.1007/s002200050674

Braasch, Peter ; Rein, Gerhard ; Vukadinovic, Jesenko:
Nonlinear stability of stationary plasmas : an extension of the energy-Casimir method.
In: SIAM Journal on Applied Mathematics. Bd. 59 (1999) Heft 3 . - S. 831-844.
ISSN 1095-712X
DOI: https://doi.org/10.1137/S0036139997329069

Guo, Yan ; Rein, Gerhard:
Stable steady states in stellar dynamics.
In: Archive for Rational Mechanics and Analysis. Bd. 147 (1999) Heft 3 . - S. 225-243.
ISSN 1432-0673
DOI: https://doi.org/10.1007/s002050050150

Rein, Gerhard:
Static shells for the Vlasov-Poisson and Vlasov-Einstein systems.
In: Indiana University Mathematics Journal. Bd. 48 (1999) Heft 1 . - S. 335-346.
ISSN 0022-2518
DOI: https://doi.org/10.1512/iumj.1999.48.1636

1998

Rein, Gerhard ; Rendall, Alan D. ; Schaeffer, Jack:
Critical collapse of collisionless matter : A numerical investigation.
In: Physical Review D. Bd. 58 (1998) Heft 4 . - 044007.
ISSN 1538-4500
DOI: https://doi.org/10.1103/PhysRevD.58.044007

Rein, Gerhard:
Growth estimates for the solutions of the Vlasov-Poisson system in the plasma physics case.
In: Mathematische Nachrichten. Bd. 191 (1998) Heft 1 . - S. 269-278.
ISSN 1522-2616
DOI: https://doi.org/10.1002/mana.19981910114

Batt, Jürgen ; Kunze, Markus ; Rein, Gerhard:
On the asymptotic behaviour of a one-dimensional monocharged plasma and a rescaling method.
In: Advances in Differential Equations. Bd. 3 (1998) Heft 2 . - S. 271-292.
ISSN 1079-9389

1997

Rein, Gerhard:
Nonlinear stability of homogeneous models in Newtonian cosmology.
In: Archive for Rational Mechanics and Analysis. Bd. 140 (1997) Heft 4 . - S. 335-351.
ISSN 1432-0673
DOI: https://doi.org/10.1007/s002050050070

Rein, Gerhard:
Selfgravitating systems in Newtonian theory : the Vlasov-Poisson system.
In: Banach Center Publications. Bd. 41 (1997) Heft 1 . - S. 179-194.
ISSN 1730-6299

1996

Rein, Gerhard:
Cosmological solutions of the Vlasov-Einstein system with spherical, plane, and hyperbolic symmetry.
In: Mathematical Proceedings of the Cambridge Philosophical Society. Bd. 119 (1996) Heft 4 . - S. 739-762.
ISSN 0305-0041
DOI: https://doi.org/10.1017/S0305004100074569

Rein, Gerhard ; Rendall, Alan D.:
Erratum: Global existence of solutions of the spherically symmetric Vlasov-Einstein system with small initial data.
In: Communications in Mathematical Physics. Bd. 176 (1996) Heft 2 . - S. 475-478.
ISSN 1432-0916
DOI: https://doi.org/10.1007/BF02099559

Illner, Reinhard ; Rein, Gerhard:
Time decay of the solutions of the Vlasov-Poisson system in the plasma physical case.
In: Mathematical Methods in the Applied Sciences. Bd. 19 (1996) Heft 17 . - S. 1409-1413.
ISSN 1099-1476
DOI: https://doi.org/10.1002/(SICI)1099-1476(19961125)19:17<1409::AID-MMA836>3.0.CO;2-2

1995

Batt, Jürgen ; Morrison, Philip J. ; Rein, Gerhard:
Linear stability of stationary solutions of the Vlasov-Poisson system in three dimensions.
In: Archive for Rational Mechanics and Analysis. Bd. 130 (1995) Heft 2 . - S. 163-182.
ISSN 1432-0673
DOI: https://doi.org/10.1007/BF00375154

Rein, Gerhard ; Rendall, Alan D. ; Schaeffer, Jack:
A regularity theorem for solutions of the spherically symmetric Vlasov-Einstein system.
In: Communications in Mathematical Physics. Bd. 168 (1995) Heft 3 . - S. 467-478.
ISSN 1432-0916
DOI: https://doi.org/10.1007/BF02101839

1994

Rein, Gerhard ; Rendall, Alan D.:
Global existence of classical solutions to the Vlasov-Poisson system in a three-dimensional, cosmological setting.
In: Archive for Rational Mechanics and Analysis. Bd. 126 (1994) Heft 2 . - S. 183-201.
ISSN 1432-0673
DOI: https://doi.org/10.1007/BF00391558

Rein, Gerhard:
Non-linear stability for the Vlasov-Poisson system : the energy-Casimir method.
In: Mathematical Methods in the Applied Sciences. Bd. 17 (1994) Heft 14 . - S. 1129-1140.
ISSN 1099-1476
DOI: https://doi.org/10.1002/mma.1670171404

Rein, Gerhard:
Static solutions of the spherically symmetric Vlasov-Einstein system.
In: Mathematical Proceedings of the Cambridge Philosophical Society. Bd. 115 (1994) Heft 3 . - S. 559-570.
ISSN 0305-0041
DOI: https://doi.org/10.1017/S0305004100072303

1993

Batt, Jürgen ; Rein, Gerhard:
A rigorous stability result for the Vlasov-Poisson system in three dimensions.
In: Anali di Matematica Pura ed Applicata. Bd. 164 (1993) Heft 1 . - S. 133-154.
ISSN 1618-1891
DOI: https://doi.org/10.1007/BF01759319

Rein, Gerhard ; Rendall, Alan D.:
Smooth static solutions of the spherically symmetric Vlasov-Einstein system.
In: Annales de l'Institut Henri Poincaré A. Bd. 59 (1993) Heft 4 . - S. 383-397.
ISSN 0020-2339

1992

Rein, Gerhard:
Existence of stationary, collisionless plasmas in bounded domains.
In: Mathematical Methods in the Applied Sciences. Bd. 15 (1992) Heft 5 . - S. 365-374.
ISSN 1099-1476
DOI: https://doi.org/10.1002/mma.1670150507

Rein, Gerhard ; Weckler, Jürgen:
Generic global classical solutions of the Vlasov-Fokker-Planck-Poisson system in three dimensions.
In: Journal of Differential Equations. Bd. 99 (1992) Heft 1 . - S. 59-77.
ISSN 1090-2732
DOI: https://doi.org/10.1016/0022-0396(92)90135-A

Rein, Gerhard ; Rendall, Alan D.:
Global existence of solutions of the spherically symmetric Vlasov-Einstein system with small initial data.
In: Communications in Mathematical Physics. Bd. 150 (1992) Heft 3 . - S. 561-583.
ISSN 1432-0916
DOI: https://doi.org/10.1007/BF02096962

Rein, Gerhard ; Rendall, Alan D.:
The Newtonian limit of the spherically symmetric Vlasov-Einstein system.
In: Communications in Mathematical Physics. Bd. 150 (1992) Heft 3 . - S. 585-591.
ISSN 1432-0916
DOI: https://doi.org/10.1007/BF02096963

Kruse, Kai-Olaf ; Rein, Gerhard:
A stability result for the relativistic Vlasov-Maxwell system.
In: Archive for Rational Mechanics and Analysis. Bd. 121 (1992) Heft 2 . - S. 187-203.
ISSN 1432-0673
DOI: https://doi.org/10.1007/BF00375417

1991

Batt, Jürgen ; Rein, Gerhard:
Global classical solutions of the periodic Vlasov-Poisson system.
In: Comptes Rendus de l'Académie des Sciences. Series I. Bd. 313 (1991) . - S. 411-416.
ISSN 0764-4442

1990

Rein, Gerhard:
Generic global solutions of the relativistic Vlasov-Maxwell system of plasma physics.
In: Communications in Mathematical Physics. Bd. 135 (1990) Heft 1 . - S. 41-78.
ISSN 1432-0916
DOI: https://doi.org/10.1007/BF02097656

Rein, Gerhard:
A two-species plasma in the limit of large ion mass.
In: Mathematical Methods in the Applied Sciences. Bd. 13 (1990) Heft 2 . - S. 159-167.
ISSN 1099-1476
DOI: https://doi.org/10.1002/mma.1670130206

1987

Farin, Gerald ; Rein, Gerhard ; Sapidis, Nikolas ; Worsey, Andrew:
Fairing cubic b-spline curves.
In: Computer Aided Geometric Design. Bd. 4 (1987) Heft 1-2 . - S. 91-103.
ISSN 0167-8396
DOI: https://doi.org/10.1016/0167-8396(87)90027-6