Global Smooth Solutions to Relativistic Euler-Poisson Equations with Repulsive Force

被引：0

作者：

Yongcai GENG ^{[1
]}

Lei WANG ^{[1
,2
]}

机构：

[1] Department of Mathematics,Shanghai Institute of Technology

[2] Wuxi Teachers'

来源：

Acta Mathematicae Applicatae Sinica(English Series) | 2014年 / 30卷 / 04期

关键词：

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper,we are concerned with the global existence of smooth solutions for the one dimensional relativistic Euler-Poisson equations.Combining certain physical background,the relativistic Euler-Poisson model is derived mathematically.By using an invariant of Lax's method,we will give a sufficient condition for the existence of a global smooth solution to the one-dimensional Euler-Poisson equations with repulsive force.

引用

页码：1025 / 1036

页数：12

共 50 条

[11] Existence of Radial Global Smooth Solutions to the Pressureless Euler-Poisson Equations with Quadratic Confinement
Carrillo, Jose A.
Shu, Ruiwen
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2023, 247 (04)
[12] Local smooth solutions to the Euler-Poisson equations for semiconductor in vacuum
Mai, La-Su
Wang, Chun
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2025, 543 (01)
[13] GLOBAL EXISTENCE AND EXPONENTIAL STABILITY OF SMOOTH SOLUTIONS TO A MULTIDIMENSIONAL NONISENTROPIC EULER-POISSON EQUATIONS
琚强昌
黎勇
ActaMathematicaScientia, 2004, (03) : 434 - 442
[14] Global existence and exponential stability of smooth solutions to a multidimensional nonisentropic Euler-Poisson equations
Ju, QC
Li, Y
ACTA MATHEMATICA SCIENTIA, 2004, 24 (03) : 434 - 442
[15] The repulsive Euler-Poisson equations with variable doping profile
Rozanova, Olga S.
PHYSICA D-NONLINEAR PHENOMENA, 2025, 472
[16] ASYMPTOTIC STABILITY OF STEADY STATE SOLUTIONS FOR THE RELATIVISTIC EULER-POISSON EQUATIONS
Mai, La-Su
Zhang, Kaijun
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2016, 36 (02) : 981 - 1004
[17] On the Steady State Relativistic Euler-Poisson Equations
Mai, La-Su
Li, Jingyu
Zhang, Kaijun
ACTA APPLICANDAE MATHEMATICAE, 2013, 125 (01) : 135 - 157
[18] On the Steady State Relativistic Euler-Poisson Equations
La-Su Mai
Jingyu Li
Kaijun Zhang
Acta Applicandae Mathematicae, 2013, 125 : 135 - 157
[19] Entire solutions of the Euler-Poisson equations
Belyaev A.V.
Ukrainian Mathematical Journal, 2004, 56 (5) : 817 - 829
[20] Improved blowup results for the Euler and Euler-Poisson equations with repulsive forces
Li, Rui
Lin, Xing
Ma, Zongwei
Zhang, Jingjun
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 417 (01) : 57 - 64

← 1 2 3 4 5 →