无结构假设的三维可压缩粘弹性方程的全局强解

IF 2.3 2区数学 Q1 MATHEMATICS

Journal of Differential Equations Pub Date : 2025-09-08 DOI:10.1016/j.jde.2025.113767

Yifeng Huang, Qingqing Liu, Changjiang Zhu

引用次数: 0

摘要

在本文中，我们发展了朱毅的方法（Y. Zhu(2022)[29]）来证明三维可压缩粘弹性方程的全局强解，而不需要对变形张量进行任何额外的结构假设。为了得到密度张量和变形张量的统一边界，采用了谱法。

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 strong solutions of the 3D compressible viscoelastic equations without structure assumptions

In this paper, we develop Zhu Yi's method (Y. Zhu (2022) [29]) to prove the global strong solutions of the 3D compressible viscoelastic equations without any additional structure assumptions on the deformation tensor. To obtain the uniform bounds of the density and deformation tensor, the spectral method is used.

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来源期刊

Journal of Differential Equations 数学-数学

CiteScore

4.40

自引率

8.30%

发文量

543

审稿时长

9 months

期刊介绍： The Journal of Differential Equations is concerned with the theory and the application of differential equations. The articles published are addressed not only to mathematicians but also to those engineers, physicists, and other scientists for whom differential equations are valuable research tools. Research Areas Include: • Mathematical control theory • Ordinary differential equations • Partial differential equations • Stochastic differential equations • Topological dynamics • Related topics