ON THE RELATIVISTIC BOLTZMANN EQUATION 被引量：2

ON THE RELATIVISTIC BOLTZMANN EQUATION

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摘要 This paper shows the invalidity of Dudynski and Ekiel-Jezewska's existence proof for the relativistic Boltzmann equation, and proves global existence of mild solutions of its initial value problem with initial data only satisfying the natural bound, i.e., finite mass,'inertia', energy and entropy. This paper shows the invalidity of Dudynski and Ekiel-Jezewska's existence proof for the relativistic Boltzmann equation, and proves global existence of mild solutions of its initial value problem with initial data only satisfying the natural bound, i.e., finite mass,'inertia', energy and entropy.

作者姜正禄

出处《Acta Mathematica Scientia》 SCIE CSCD 1998年第3期348-360,共13页 数学物理学报（B辑英文版）

关键词 IIT VT EL ER

分类号 O411 [理学—理论物理]

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参考文献8

1J. Dolbeault.Kinetic models and quantum effects: A modified Boltzmann equation for Fermi-Dirac particles[J]. Archive for Rational Mechanics and Analysis . 1994 (2)
2Marek Dudyński,Maria L. Ekiel-Je?ewska.Global existence proof for relativistic Boltzmann equation[J]. Journal of Statistical Physics . 1992 (3-4)
3Marek Dudyński,Maria L. Ekiel-Je?ewska.On the linearized relativistic Boltzmann equation[J]. Communications in Mathematical Physics . 1988 (4)
4Klaus Bichteler.On the Cauchy problem of the relativistic Boltzmann equation[J]. Communications in Mathematical Physics . 1967 (5)
5Golse F,Lions P L,Perthame B,Semis R.Regularity of the moments of the solution of a transportequation. Journal of Functional Analysis . 1988
6Glassey R,Strauss W.On the derivatives of the collision map of relativistic particles.Transp. theoryStat. Physica . 1991
7DiPerna R J,Lions P L.On the Cauchy problem for Boltzmann equations:Global existence and weakstability. Annals of Mathematics . 1989
8Glassey R,Strauss W.Asymptotic stability of the relstivistic equilibrium.Publ. R,I. M.S. Kyoto Univ . 1992

同被引文献20

1姜正禄.带有硬相互作用的相对论Boltzmann方程整体解存在性的证明[J].武汉大学学报（自然科学版）,1997,43(1):1-6. 被引量：1
2de Groot S. R., Van Leeuwen W. A. and Van Weert Ch. G., Relativistic Kinetic Theory [M]. Amsterdam: North-Holland, 1980.
3Dudynski M. and Ekiel-Jezewska M. L., Global existence proof for relativistic boltzmann equation [J]. J. Stat. Phys, 1992, 66(3/4):991 -1001.
4Jiang Z., On the cauchy problem for the relativistic boltzmann equation in a periodic box: global existence [J]. Transp. Theory Stat. Phys., 1999, 28(6):617- 628.
5DiPerna R. J. and Lions P. L., On the cauchy problem for boltzmann equations: global existence and weak stability [J]. Ann. Math., 1989, 130:321- 366.
6Dudynski M. and Ekiel-Jezewska M. L., On the linearized relativistic boltzmann equa- tion [J]. Commun. Math. Phys., 1988, 115:607- 629.
7Andreasson H., Regularity of the gain ternl and strong L1 convergence to equilibriunl for the relativistic Boltzmann equation [J]. SIAM J. Math. Anal., 1996, 27:1386- 1405.
8Bancel D., Probleme de cauchy pour l'equation de boltzmann en relativite generale [J]. Ann. Inst. Henri Poincare, 1973, 18:263-284.
9Bichteler K., On the cauchy problem of the relativistic boltzmann equation [J]. Commun. Math. Phys., 1967, 4:352 364.
10Glassey R. and Strauss W., On the derivatives of the collision map of relativistic particles [J]. Transp. Theory Star. Phys., 1991, 20:55 -68.

引证文献2

1姜正禄,马丽君.硬碰撞的相对论Boltzmann方程柯西问题整体解的存在性[J].数学年刊（A辑）,2008,29(1):27-38.
2Jianjun HUANG,Zhenglu JIANG.GLOBAL EXISTENCE FOR THE RELATIVISTIC ENSKOG EQUATIONS[J].Acta Mathematica Scientia,2020,40(5):1335-1351.

1罗兰,喻洪俊.BOUNDED SOLUTION OF THE RELATIVISTIC BOLTZMANN EQUATION[J].Acta Mathematica Scientia,2015,35(4):777-786.

Acta Mathematica Scientia

1998年第3期

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ON THE RELATIVISTIC BOLTZMANN EQUATION 被引量：2

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