具有耗散的Euler-Maxwell方程的全局解

IF 0.9 3区数学 Q1 MATHEMATICS

Annali di Matematica Pura ed Applicata Pub Date : 2024-12-31 DOI:10.1007/s10231-024-01538-9

Bernard Ducomet, Šárka Nečasová, John Sebastian H. Simon

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引用次数: 0

摘要

考虑无离子背景的阻尼欧拉-麦克斯韦体系的柯西问题。对于满足适当色散条件的足够光滑的数据，我们建立了一个随时间均匀衰减的强解在时间上的全局存在唯一性。我们的方法受到D. Serre和M. Grassin致力于可压缩欧拉系统的作品的启发。

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Global solutions of Euler–Maxwell equations with dissipation

We consider the Cauchy problem for a damped Euler–Maxwell system with no ionic background. For smooth enough data satisfying suitable so-called dispersive conditions, we establish the global in time existence and uniqueness of a strong solution that decays uniformly in time. Our method is inspired by the works of D. Serre and M. Grassin dedicated to the compressible Euler system.

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来源期刊

Annali di Matematica Pura ed Applicata 数学-数学

CiteScore

2.10

自引率

10.00%

发文量

审稿时长

>12 weeks

期刊介绍： This journal, the oldest scientific periodical in Italy, was originally edited by Barnaba Tortolini and Francesco Brioschi and has appeared since 1850. Nowadays it is managed by a nonprofit organization, the Fondazione Annali di Matematica Pura ed Applicata, c.o. Dipartimento di Matematica "U. Dini", viale Morgagni 67A, 50134 Firenze, Italy, e-mail annali@math.unifi.it). A board of Italian university professors governs the Fondazione and appoints the editors of the journal, whose responsibility it is to supervise the refereeing process. The names of governors and editors appear on the front page of each issue. Their addresses appear in the title pages of each issue.