Global Solutions to the Damped Incompressible Magnetohydrodynamics System without Dissipation

IF 0.9 4区数学 Q3 MATHEMATICS, APPLIED

Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2025-06-24 DOI:10.1007/s10255-025-0011-z

Xu-long Qin, Hua Qiu, Zheng-an Yao

引用次数: 0

Abstract

In this paper, we consider the Cauchy problem of the d-dimensional damping incompressible magnetohydrodynamics system without dissipation. Precisely, this system includes a velocity damped term and a magnetic damped term. We establish the existence and uniqueness of global solutions to this damped system in the critical Besov spaces by means of the Fourier frequency localization and Bony paraproduct decomposition.

查看原文本刊更多论文

无耗散的阻尼不可压缩磁流体动力学系统的全局解

本文考虑无耗散的d维阻尼不可压缩磁流体动力系统的柯西问题。准确地说，该系统包括速度阻尼项和磁阻尼项。利用傅里叶频率局部化和博尼副积分解，建立了该阻尼系统在临界Besov空间中全局解的存在唯一性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Acta Mathematicae Applicatae Sinica, English Series 数学-应用数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

3.0 months

期刊介绍： Acta Mathematicae Applicatae Sinica (English Series) is a quarterly journal established by the Chinese Mathematical Society. The journal publishes high quality research papers from all branches of applied mathematics, and particularly welcomes those from partial differential equations, computational mathematics, applied probability, mathematical finance, statistics, dynamical systems, optimization and management science.