Decay of the 3D Lüst model

IF 1 4区数学 Q1 MATHEMATICS

Boundary Value Problems Pub Date : 2023-11-10 DOI:10.1186/s13661-023-01797-0

Ying Sheng

引用次数: 0

Abstract

Abstract In this paper, we consider the time-decay rate of the strong solution to the Cauchy problem for the three-dimensional Lüst model. In particular, the optimal decay rates of the higher-order spatial derivatives of the solution are obtained. The $\dot{H}^{-s}$ H ˙ − s ( $0\leq s<\frac{3}{2}$ 0 ≤ s < 3 2 ) negative Sobolev norms are shown to be preserved along time evolution and enhance the decay rates.

查看原文本刊更多论文

三维 st模型的衰减

摘要本文考虑三维l st模型Cauchy问题强解的时间衰减率。特别地，得到了解的高阶空间导数的最优衰减率。$\dot{H}^{-s}$ H˙s ($0\leq s<\frac{3}{2}$ 0≤s ＆lt;负Sobolev范数随时间的演变而保持不变，并提高了衰变速率。

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

Boundary Value Problems 数学-数学

自引率

5.90%

发文量

审稿时长

3 months

期刊介绍： The main aim of Boundary Value Problems is to provide a forum to promote, encourage, and bring together various disciplines which use the theory, methods, and applications of boundary value problems. Boundary Value Problems will publish very high quality research articles on boundary value problems for ordinary, functional, difference, elliptic, parabolic, and hyperbolic differential equations. Articles on singular, free, and ill-posed boundary value problems, and other areas of abstract and concrete analysis are welcome. In addition to regular research articles, Boundary Value Problems will publish review articles.