可压缩双流体Euler-Maxwell方程解的整体存在性和渐近性

IF 1.4 Q2 MATHEMATICS, APPLIED

International Journal of Differential Equations Pub Date : 2020-06-29 DOI:10.1155/2020/4363296

Ismahan Binshati, H. Hattori

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引用次数: 0

摘要

利用傅立叶变换和能量方法研究了两流体可压缩等熵Euler–Maxwell方程解的全局存在性和渐近性。我们讨论了当两种流体的压力不相等时的情况，我们还增加了两种流体之间的摩擦力。此外，我们还讨论了线性系统范数的衰变率。此外，我们用这个结果来估计非线性系统的衰变率。

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Global Existence and Asymptotic Behavior of Solutions for Compressible Two-Fluid Euler–Maxwell Equation

We study the global existence and asymptotic behavior of the solutions for two-fluid compressible isentropic Euler–Maxwell equations by the Fourier transform and energy method. We discuss the case when the pressure for two fluids is not identical, and we also add friction between the two fluids. In addition, we discuss the rates of decay of norms for a linear system. Moreover, we use the result for estimates to prove the decay rates for the nonlinear systems.

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来源期刊

International Journal of Differential Equations MATHEMATICS, APPLIED-

CiteScore

3.10

自引率

0.00%

发文量

审稿时长

20 weeks