一维欧拉-傅里叶-科特韦格系统的全局良好假设性

IF 1 3区数学 Q1 MATHEMATICS

Bulletin of the Malaysian Mathematical Sciences Society Pub Date : 2024-08-14 DOI:10.1007/s40840-024-01756-7

Weixuan Shi, Jianzhong Zhang

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引用次数: 0

摘要

本文研究了一维可压缩欧拉-傅里叶-科特韦格系统的 Cauchy 问题。在临界贝索夫空间中，以接近恒定平衡态的小初始数据建立了全局唯一强解。这将 Kawashima 等人最近关于线性 Euler-Fourier-Korteweg 系统耗散结构的工作（Commun Partial Differ Equ 47:378-400, 2022）扩展到临界空间的非线性系统。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Global Well-Posedness for the One-Dimensional Euler–Fourier–Korteweg System

In this paper, we investigate the Cauchy problem of one-dimensional compressible Euler–Fourier–Korteweg system. The global unique strong solutions are established in the critical Besov spaces with small initial data close to a constant equilibrium state. This extends the recent work of Kawashima et al. (Commun Partial Differ Equ 47:378–400, 2022) on the dissipative structure of linear Euler–Fourier–Korteweg system to the non-linear system in critical space.

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来源期刊

Bulletin of the Malaysian Mathematical Sciences Society 数学-数学

CiteScore

2.40

自引率

8.30%

发文量

176

审稿时长

3 months

期刊介绍： This journal publishes original research articles and expository survey articles in all branches of mathematics. Recent issues have included articles on such topics as Spectral synthesis for the operator space projective tensor product of C*-algebras; Topological structures on LA-semigroups; Implicit iteration methods for variational inequalities in Banach spaces; and The Quarter-Sweep Geometric Mean method for solving second kind linear fredholm integral equations.