Global in time weak solutions for compressible barotropic self-gravitating fluids

被引：2
|
作者：
Ducomet, B
Feireisl, E
Petzeltová, H
Straskraba, I
机构：
[1] CEA, Dept Phys Theor & Appl, Bruyeres Le Chatel, France
[2] AV CR, Math Inst, Prague 11567 1, Czech Republic
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2004年 / 11卷 / 01期
关键词：
compressible self-gravitating fluid; Navier-Stokes-Poisson system; global in time solutions;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The existence of global in time weak solutions to the Navier-Stokes-Poisson system of barotropic compressible flow is proved. The system takes into account the effect of self-gravitation. Moreover, the case of a non-monotone pressure important in certain applications in astrophysics and the theory of nuclear fluids is included.
引用
收藏
页码：113 / 130
页数：18
相关论文
共 50 条
  • [41] SELF-GRAVITATING SOLUTIONS OF THE SKYRME MODEL AND THEIR STABILITY
    HEUSLER, M
    STRAUMANN, N
    ZHOU, ZH
    [J]. HELVETICA PHYSICA ACTA, 1993, 66 (06): : 614 - 632
  • [42] GENERAL EXACT SOLUTION FOR HOMOGENEOUS TIME-DEPENDENT SELF-GRAVITATING PERFECT FLUIDS
    GAETE, P
    HOJMAN, R
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 1990, 31 (01) : 140 - 143
  • [43] A GENERAL-CLASS OF SELF-SIMILAR SELF-GRAVITATING FLUIDS
    PEN, UL
    [J]. ASTROPHYSICAL JOURNAL, 1994, 429 (02): : 759 - 763
  • [44] Self-gravitating barotropic equilibrium configurations of rotating bodies with smoothed particle hydrodynamics
    García-Senz, D.
    Cabezón, R.M.
    Blanco-Iglesias, J.M.
    Lorén-Aguilar, P.
    [J]. Astronomy and Astrophysics, 2020, 637
  • [45] Self-gravitating barotropic equilibrium configurations of rotating bodies with smoothed particle hydrodynamics
    Garcia-Senz, D.
    Cabezon, R. M.
    Blanco-Iglesias, J. M.
    Loren-Aguilar, P.
    [J]. ASTRONOMY & ASTROPHYSICS, 2020, 637
  • [46] Expansion-free self-gravitating dust dissipative fluids
    Rajesh Kumar
    Sudhir Kumar Srivastava
    [J]. General Relativity and Gravitation, 2018, 50
  • [47] A geometric approach to the classification of the equilibrium shapes of self-gravitating fluids
    Pelayo, Alvaro
    Peralta-Salas, Daniel
    [J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2006, 267 (01) : 93 - 115
  • [48] Substellar fragmentation in self-gravitating fluids with a major phase transition
    Fueglistaler, A.
    Pfenniger, D.
    [J]. ASTRONOMY & ASTROPHYSICS, 2015, 578
  • [49] SELF-GRAVITATING FLUIDS OF CLASS ONE WITH NONVANISHING WEYL TENSOR
    GUPTA, YK
    SHARMA, SP
    GUPTA, RS
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 1984, 25 (12) : 3510 - 3512
  • [50] CYLINDRICAL SELF-GRAVITATING FLUIDS WITH PRESSURE EQUAL TO ENERGY DENSITY
    LETELIER, PS
    TABENSKY, RR
    [J]. NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS, 1975, 28 (02): : 407 - 414
12345