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Global Smooth Solutions to Relativistic Euler-Poisson Equations with Repulsive Force 被引量:1

Global Smooth Solutions to Relativistic Euler-Poisson Equations with Repulsive Force
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摘要 In this paper, we are concerned with the global existence of smooth solutions for the one dimen- sional 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. In this paper, we are concerned with the global existence of smooth solutions for the one dimen- sional 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.
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2014年第4期1025-1036,共12页 应用数学学报(英文版)
基金 supported in part by Chinese National Natural Science Foundation under grant 11201308 Science Foundation for the Excellent Youth Scholars of Shanghai Municipal Education Commission(ZZyyyl2025) the innovation program of Shanghai Municipal Education Commission(13ZZ136)
关键词 relativistic Euler equations relativistic Euler-poisson equations global existence characteristic-based method relativistic Euler equations relativistic Euler-poisson equations global existence characteristic-based method
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