ERef Bayreuth

Institutions of the University of Bayreuth
Professorship Applied Mathematics

University of Bayreuth (58535)
- Faculties (54985)
  - Faculty of Mathematics, Physics und Computer Science (8580)
    - Department of Mathematics (3453)
      - Professorship Applied Mathematics (91)
        Professor Applied Mathematics - Univ.-Prof. Dr. Gerhard Rein (91)

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Number of items at this level: 91.

2024

Straub, Christopher:
Pulsating Galaxies.
Bayreuth , 2024 . - X, 310 p.
( Doctoral thesis, 2024 , Universität Bayreuth, Bayreuther Graduiertenschule für Mathematik und Naturwissenschaften - BayNAT)
DOI: https://doi.org/10.15495/EPub_UBT_00007639

Müller, Johanna:
Non-linear stability of matter shells surrounding a point mass.
Bayreuth , 2024 . - 101 p.
(Master's, 2024 , Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik)
DOI: https://doi.org/10.15495/EPub_UBT_00007704

Straub, Christopher ; Wolfschmidt, Sebastian:
EVStabilityNet: predicting the stability of star clusters in general relativity.
In: Classical and Quantum Gravity. Vol. 41 (2024) Issue 6 . - 065002.
DOI: https://doi.org/10.1088/1361-6382/ad228a

Wolfschmidt, Sebastian:
Stability and Oscillations of Star Clusters in General Relativity.
Bayreuth , 2024 . - XIV, 268 p.
( Doctoral thesis, 2023 , Universität Bayreuth, Bayreuther Graduiertenschule für Mathematik und Naturwissenschaften - BayNAT)
DOI: https://doi.org/10.15495/EPub_UBT_00007337

2023

Frenkler, Joachim:
Dynamics of Globular Clusters and Spiral Galaxies.
Bayreuth , 2023 . - 109 p.
( Doctoral thesis, 2022 , Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik)
DOI: https://doi.org/10.15495/EPub_UBT_00006847

Rein, Gerhard:
Stability and instability results for equilibria of a (relativistic) self-gravitating collisionless gas : a review.
In: Classical and Quantum Gravity. Vol. 40 (2023) . - 193001.
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. Vol. 15 (2022) Issue 4 . - pp. 681-719.
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. Vol. 243 (2022) . - pp. 611-696.
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. Vol. 918 (2021) Issue 2 . - 48.
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. Vol. 38 (2021) Issue 3 . - 035003.
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. Vol. 241 (2021) . - pp. 1-89.
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. Vol. 53 (2021) Issue 4 . - pp. 4985-4996.
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. Vol. 13 (2020) Issue 5 . - pp. 933-949.
DOI: https://doi.org/10.3934/krm.2020032

Weber, Jörg:
The Relativistic Vlasov-Maxwell System with External Electromagnetic Fields.
Bayreuth , 2020 . - VIII, 148 p.
( Doctoral thesis, 2020 , Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik)
DOI: https://doi.org/10.15495/EPub_UBT_00004964

Straub, Christopher:
Stability of the King model : a coercivity-based approach.
Bayreuth , 2020 . - 85 p.
(Master's, 2019 , Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik)
DOI: https://doi.org/10.15495/EPub_UBT_00005033

2018

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

Weber, Jörg:
Optimal Control of the Two-Dimensional Vlasov-Maxwell-System.
Bayreuth , 2018 . - 89 p.
(Master's, 2016 , Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik)

Ramming, Tobias ; Rein, Gerhard:
Oscillating solutions of the Vlasov–Poisson system : A numerical investigation.
In: Physica D: Nonlinear Phenomena. Vol. 365 (2018) . - pp. 72-79.
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. Vol. 224 (2017) . - pp. 1127-1159.
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. Vol. 17 (2016) Issue 6 . - pp. 1415-1427.
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. Vol. 8 (2015) Issue 2 . - pp. 381-394.
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. Vol. 446 (2015) Issue 4 . - pp. 3932-3942.
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. Vol. 159 (2015) Issue 3 . - pp. 529-546.
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. Vol. 329 (2014) Issue 2 . - pp. 787-808.
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 . - pp. 523-529
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. Vol. 45 (2013) Issue 2 . - pp. 900-914.
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. Vol. 155 (2013) Issue 3 . - pp. 529-556.
DOI: https://doi.org/10.1017/S030500411300056X

2012

Ramming, Tobias:
Über Familien sphärisch symmetrischer stationärer Lösungen des Vlasov-Poisson-Systems.
München : Hut , 2012 . - VI, 103 p.
( Doctoral thesis, 2012 , Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik, Professur Angewandte Mathematik (Angewandte Analysis))

2011

Andréasson, Håkan ; Kunze, Markus ; Rein, Gerhard:
Existence of axially symmetric static solutions of the Einstein-Vlasov system.
In: Communications in Mathematical Physics. Vol. 308 (2011) . - pp. 23-47.
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. Vol. 350 (2011) Issue 3 . - pp. 683-705.
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. Vol. 149 (2010) Issue 1 . - pp. 173-188.
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. Vol. 7 (2010) Issue 4 . - pp. 707-731.
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. Vol. 68 (2010) Issue 1 . - pp. 17-42.

2009

Firt, Roman ; Rein, Gerhard ; Seehafer, Martin:
Flat galaxies with dark matter halos : existence and stability.
In: Communications in Mathematical Physics. Vol. 291 (2009) Issue 1 . - pp. 225-255.
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. Vol. 26 (2009) Issue 14 . - 145003.
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. Vol. 33 (2008) Issue 4 . - pp. 656-668.
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 . - pp. 383-476
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. Vol. 56 (2007) Issue 5 . - pp. 2453-2488.
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. Vol. 271 (2007) Issue 2 . - pp. 489-509.
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. Vol. 24 (2007) Issue 7 . - pp. 1809-1832.
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. Vol. 266 (2006) Issue 1 . - pp. 267-288.
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. Vol. 23 (2006) Issue 11 . - pp. 3659-3677.
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. Vol. 26 (2006) Issue 4 . - pp. 507-525.
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. Vol. 138 (2005) Issue 3 . - pp. 533-539.
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. Vol. 1045 (2005) . - pp. 103-119.
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. Vol. 2005 (2005) Issue 1 . - pp. 1-17.

2004

Calogero, Simone ; Rein, Gerhard:
Global weak solutions to the Nordström-Vlasov system.
In: Journal of Differential Equations. Vol. 204 (2004) Issue 2 . - pp. 323-338.
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. Vol. 2 (2004) Issue 2 . - pp. 145-158.
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. Vol. 137 (2004) Issue 1 . - pp. 237-244.
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. Vol. 52 (2003) Issue 4 . - pp. 821-862.
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. Vol. 238 (2003) Issue 1-2 . - pp. 367-378.
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. Vol. 168 (2003) Issue 2 . - pp. 115-130.
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. Vol. 28 (2003) Issue 11-12 . - pp. 1863-1885.
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. Vol. 134 (2003) Issue 3 . - pp. 529-549.
DOI: https://doi.org/10.1017/S0305004102006606

Guo, Yan ; Rein, Gerhard:
Stable models of elliptical galaxies.
In: Monthly Notices of the Royal Astronomical Society. Vol. 344 (2003) Issue 4 . - pp. 1296-1306.
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. Vol. 106 (2002) Issue 5-6 . - pp. 1221-1239.
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. Vol. 33 (2002) Issue 4 . - pp. 896-912.
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. Vol. 161 (2002) Issue 1 . - pp. 27-42.
DOI: https://doi.org/10.1007/s002050100167

2001

Guo, Yan ; Rein, Gerhard:
Isotropic steady states in galactic dynamics.
In: Communications in Mathematical Physics. Vol. 219 (2001) . - pp. 607-629.
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. Vol. 11 (2001) Issue 3 . - pp. 407-432.
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. Vol. 128 (2000) Issue 2 . - pp. 363-380.

Rein, Gerhard:
Stationary and static stellar dynamic models with axial symmetry.
In: Nonlinear Analysis : Theory, Methods & Applications. Vol. 41 (2000) Issue 3-4 . - pp. 313-344.
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. Vol. 48 (1999) Issue 4 . - pp. 1237-1255.
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. Vol. 205 (1999) Issue 1 . - pp. 229-247.
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. Vol. 59 (1999) Issue 3 . - pp. 831-844.
DOI: https://doi.org/10.1137/S0036139997329069

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

Rein, Gerhard:
Static shells for the Vlasov-Poisson and Vlasov-Einstein systems.
In: Indiana University Mathematics Journal. Vol. 48 (1999) Issue 1 . - pp. 335-346.
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. Vol. 58 (1998) Issue 4 . - 044007.
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. Vol. 191 (1998) Issue 1 . - pp. 269-278.
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. Vol. 3 (1998) Issue 2 . - pp. 271-292.

1997

Rein, Gerhard:
Nonlinear stability of homogeneous models in Newtonian cosmology.
In: Archive for Rational Mechanics and Analysis. Vol. 140 (1997) Issue 4 . - pp. 335-351.
DOI: https://doi.org/10.1007/s002050050070

Rein, Gerhard:
Selfgravitating systems in Newtonian theory : the Vlasov-Poisson system.
In: Banach Center Publications. Vol. 41 (1997) Issue 1 . - pp. 179-194.

1996

Rein, Gerhard:
Cosmological solutions of the Vlasov-Einstein system with spherical, plane, and hyperbolic symmetry.
In: Mathematical Proceedings of the Cambridge Philosophical Society. Vol. 119 (1996) Issue 4 . - pp. 739-762.
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. Vol. 176 (1996) Issue 2 . - pp. 475-478.
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. Vol. 19 (1996) Issue 17 . - pp. 1409-1413.
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. Vol. 130 (1995) Issue 2 . - pp. 163-182.
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. Vol. 168 (1995) Issue 3 . - pp. 467-478.
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. Vol. 126 (1994) Issue 2 . - pp. 183-201.
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. Vol. 17 (1994) Issue 14 . - pp. 1129-1140.
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. Vol. 115 (1994) Issue 3 . - pp. 559-570.
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. Vol. 164 (1993) Issue 1 . - pp. 133-154.
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. Vol. 59 (1993) Issue 4 . - pp. 383-397.

1992

Rein, Gerhard:
Existence of stationary, collisionless plasmas in bounded domains.
In: Mathematical Methods in the Applied Sciences. Vol. 15 (1992) Issue 5 . - pp. 365-374.
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. Vol. 99 (1992) Issue 1 . - pp. 59-77.
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. Vol. 150 (1992) Issue 3 . - pp. 561-583.
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. Vol. 150 (1992) Issue 3 . - pp. 585-591.
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. Vol. 121 (1992) Issue 2 . - pp. 187-203.
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. Vol. 313 (1991) . - pp. 411-416.

1990

Rein, Gerhard:
Generic global solutions of the relativistic Vlasov-Maxwell system of plasma physics.
In: Communications in Mathematical Physics. Vol. 135 (1990) Issue 1 . - pp. 41-78.
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. Vol. 13 (1990) Issue 2 . - pp. 159-167.
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. Vol. 4 (1987) Issue 1-2 . - pp. 91-103.
DOI: https://doi.org/10.1016/0167-8396(87)90027-6

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