A NOTE ON THE EXISTENCE OF STATIONARY SOLUTIONS OF THE COMPRESSIBLE EULER-POISSON EQUATIONS WITH 6/5 γ <|2

doi:10.1016/S0252-9602(13)60052-1

数学物理学报(英文版) ›› 2013, Vol. 33 ›› Issue (4): 936-942.doi: 10.1016/S0252-9602(13)60052-1

A NOTE ON THE EXISTENCE OF STATIONARY SOLUTIONS OF THE COMPRESSIBLE EULER-POISSON EQUATIONS WITH 6/5 < γ <|2

向建林

Department of Mathematics, School of Science, Wuhan University of Technology, Wuhan 430070, China

收稿日期:2012-07-20 出版日期:2013-07-20 发布日期:2013-07-20
基金资助:
This work is supported by the Fundamental Research Funds for the Central Universities (2011-1a-021).

A NOTE ON THE EXISTENCE OF STATIONARY SOLUTIONS OF THE COMPRESSIBLE EULER-POISSON EQUATIONS WITH 6/5 < γ <|2

XIANG Jian-Lin

Department of Mathematics, School of Science, Wuhan University of Technology, Wuhan 430070, China

Received:2012-07-20 Online:2013-07-20 Published:2013-07-20
Supported by:
This work is supported by the Fundamental Research Funds for the Central Universities (2011-1a-021).

摘要/Abstract

摘要：

This paper is concerned with the system of Euler-Poisson equations as a model to describe the motion of the self-induced gravitational gaseous stars. When 6/5 < γ < 2, under the weak smoothness of entropy function, we find a sufficient condition to guarantee the existence of stationary solutions for some velocity fields and entropy function that solve the conservation of mass and energy.

关键词: Euler-Poisson equations, stationary solutions, existence

Abstract:

Key words: Euler-Poisson equations, stationary solutions, existence

中图分类号:

35Q35

向建林. A NOTE ON THE EXISTENCE OF STATIONARY SOLUTIONS OF THE COMPRESSIBLE EULER-POISSON EQUATIONS WITH 6/5 < γ <|2[J]. 数学物理学报(英文版), 2013, 33(4): 936-942.

XIANG Jian-Lin. A NOTE ON THE EXISTENCE OF STATIONARY SOLUTIONS OF THE COMPRESSIBLE EULER-POISSON EQUATIONS WITH 6/5 < γ <|2[J]. Acta mathematica scientia,Series B, 2013, 33(4): 936-942.

[1]	王朋燕, 王永忠. POSITIVE SOLUTIONS FOR A WEIGHTED FRACTIONAL SYSTEM[J]. 数学物理学报(英文版), 2018, 38(3): 935-949.
[2]	孔德兴, 刘琦. GLOBAL EXISTENCE OF CLASSICAL SOLUTIONS TO THE HYPERBOLIC GEOMETRY FLOW WITH TIME-DEPENDENT DISSIPATION[J]. 数学物理学报(英文版), 2018, 38(3): 745-755.
[3]	张磊, 刘斌. THE GLOBAL ATTRACTOR FOR A VISCOUS WEAKLY DISSIPATIVE GENERALIZED TWO-COMPONENT μ-HUNTER-SAXTON SYSTEM[J]. 数学物理学报(英文版), 2018, 38(2): 651-672.
[4]	张晶, 张永前. INITIAL-BOUNDARY PROBLEM FOR THE 1-D EULER-BOLTZMANN EQUATIONS IN RADIATION HYDRODYNAMICS[J]. 数学物理学报(英文版), 2018, 38(1): 34-56.
[5]	刘颖博, Ingo WITT. SMALL DATA SOLUTIONS OF 2-D QUASILINEAR WAVE EQUATIONS UNDER NULL CONDITIONS[J]. 数学物理学报(英文版), 2018, 38(1): 125-150.
[6]	王彪. POSITIVE STEADY STATES OF A DIFFUSIVE PREDATOR-PREY SYSTEM WITH PREDATOR CANNIBALISM[J]. 数学物理学报(英文版), 2017, 37(5): 1385-1398.
[7]	戴蔚, 刘招. CLASSIFICATION OF POSITIVE SOLUTIONS TO A SYSTEM OF HARDY-SOBOLEV TYPE EQUATIONS[J]. 数学物理学报(英文版), 2017, 37(5): 1415-1436.
[8]	侯飞. ON THE GLOBAL EXISTENCE OF SMOOTH SOLUTIONS TO THE MULTI-DIMENSIONAL COMPRESSIBLE EULER EQUATIONS WITH TIME-DEPENDING DAMPING IN HALF SPACE[J]. 数学物理学报(英文版), 2017, 37(4): 949-964.
[9]	夏安银, 樊明书, 李珊. BLOW-UP AND LIFE SPAN ESTIMATES FOR A CLASS OF NONLINEAR DEGENERATE PARABOLIC SYSTEM WITH TIME-DEPENDENT COEFFICIENTS[J]. 数学物理学报(英文版), 2017, 37(4): 974-984.
[10]	郭艳艳. NONEXISTENCE AND SYMMETRY OF SOLUTIONS TO SOME FRACTIONAL LAPLACIAN EQUATIONS IN THE UPPER HALF SPACE[J]. 数学物理学报(英文版), 2017, 37(3): 836-851.
[11]	刘振海, 曾生达. DIFFERENTIAL VARIATIONAL INEQUALITIES IN INFINITE BANACH SPACES[J]. 数学物理学报(英文版), 2017, 37(1): 26-32.
[12]	Dragos-Patru COVEI. A NECESSARY AND A SUFFICIENT CONDITION FOR THE EXISTENCE OF THE POSITIVE RADIAL SOLUTIONS TO HESSIAN EQUATIONS AND SYSTEMS WITH WEIGHTS[J]. 数学物理学报(英文版), 2017, 37(1): 47-57.
[13]	Mohammed D. KASSIM, Khaled M. FURATI, Nasser-eddine TATAR. NON-EXISTENCE FOR FRACTIONALLY DAMPED FRACTIONAL DIFFERENTIAL PROBLEMS[J]. 数学物理学报(英文版), 2017, 37(1): 119-130.
[14]	夏莉, 李敬娜, 刘强. EXISTENCE OF WEAK SOLUTIONS FOR SOME SINGULAR PARABOLIC EQUATION[J]. 数学物理学报(英文版), 2016, 36(6): 1651-1661.
[15]	许勇强, 谭忠, 孙道恒. MULTIPLICITY RESULTS FOR A NONLINEAR ELLIPTIC PROBLEM INVOLVING THE FRACTIONAL LAPLACIAN[J]. 数学物理学报(英文版), 2016, 36(6): 1793-1803.

A NOTE ON THE EXISTENCE OF STATIONARY SOLUTIONS OF THE COMPRESSIBLE EULER-POISSON EQUATIONS WITH 6/5 < γ <|2

A NOTE ON THE EXISTENCE OF STATIONARY SOLUTIONS OF THE COMPRESSIBLE EULER-POISSON EQUATIONS WITH 6/5 < γ <|2

PDF (PC)

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

Metrics

本文评价

推荐阅读 10