ASYMPTOTIC STABILITY OF STEADY STATE SOLUTIONS FOR THE RELATIVISTIC EULER-POISSON EQUATIONS

LA-SU MAI; KAIJUN ZHANG

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ASYMPTOTIC STABILITY OF STEADY STATE SOLUTIONS FOR THE RELATIVISTIC EULER-POISSON EQUATIONS

机译：相对论Euler-Poisson方程稳态解的渐近稳定性

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摘要

Under the conditions of both the initial data being the small perturbation of given steady state solution and the boundary strength being small, the global existence of smooth solution to the initial boundary value problem of the relativistic Euler-Poisson equations is proved. The convergence of the global smooth solution to smooth steady state solution in time exponentially is also obtained when time goes to infinity.

机译：在初始数据的条件下，初始数据的给定稳态解决方案的小扰动和边界强度小，证明了相对论Euler-Poisson方程的初始边值问题的平稳解的全局存在。当时间进入无穷大时，还获得了全局平滑解决方案对平滑稳态解决方案的融合。

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来源
《Discrete and continuous dynamical systems》 |2016年第2期|981-1004|共24页
作者
LA-SU MAI; KAIJUN ZHANG;
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作者单位

Department of Mathematics Capital Normal University Beijing 100048 China;

School of Mathematics and Statistics Northeast Normal University Changchun 130024 China;

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原文格式 PDF
正文语种 eng
中图分类
关键词
Relativistic Euler-Poisson equations; asymptotic stability; steady state solution; global smooth solution;

机译：相对论欧莱泊松方程式;渐近稳定性;稳态解决方案;全球平滑解决方案;

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1. Asymptotic limits of solutions to the initial boundary value problem for the relativistic Euler-Poisson equations [J] . Mai La-Su, Li Hai-Liang, Zhang Kaijun Journal of Differential Equations . 2014,第12期

机译：相对论性Euler-Poisson方程初边值问题解的渐近极限
2. ASYMPTOTIC STABILITY OF STATIONARY SOLUTIONS TO THE EULER-POISSON EQUATIONS ARISING IN PLASMA PHYSICS [J] . MASAHIRO SUZUKI Kinetic & related models . 2011,第2期

机译：等离子体物理中EUler-Poisson方程的平稳解的渐近稳定性
3. On the steady state relativistic Euler-Poisson equations [J] . Mai L.-S., Li J., Zhang K. Acta Applicandae Mathematicae: An International Journal on Applying Mathematics and Mathematical Applications . 2013,第1期

机译：关于稳态相对论的Euler-Poisson方程
4. ON THE STABILITY AND ASYMPTOTIC STABILITY OF STEADY SOLUTIONS OF THE NAVIER-STOKES EQUATIONS IN UNBOUNDED DOMAINS [C] . F. CRISPO Meeting on Waves and Stability in Continuous Media . 2006

机译：关于无界域的Navier-Stokes方程稳态和渐近稳定性
5. On Existence and Properties of Rotating Star Solutions to the Euler-Poisson Equations. [D] . Wu, Yilun. 2014

机译：关于Euler-Poisson方程的旋转星解的存在性和性质。
6. Stabilities for Nonisentropic Euler-Poisson Equations [O] . Ka Luen Cheung, Sen Wong 2015

机译：非等熵Euler-Poisson方程的稳定性
7. Blowup of Regular Solutions for the Relativistic Euler-Poisson Equations [O] . Chan, Wai Hong, Wong, Sen, Yuen, Manwai 2015

机译：相对论Euler-poisson方程正则解的爆破

ASYMPTOTIC STABILITY OF STEADY STATE SOLUTIONS FOR THE RELATIVISTIC EULER-POISSON EQUATIONS

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