流体-粒子相互作用模型流态平稳解的全局存在性和唯一性

IF 1.2 4区数学 Q1 MATHEMATICS

Acta Mathematica Scientia Pub Date : 2024-08-27 DOI:10.1007/s10473-024-0513-4

Lin Zheng, Shu Wang

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引用次数: 0

摘要

本文关注的是ℝ3 中所谓流动体系中三维流体-粒子相互作用模型的 Cauchy 问题。在一些 Sobolev 空间中，在外部势和静止解的初始扰动都很小的假设下，利用谨慎能量法建立了系统在 H3 中全局光滑解的存在性和唯一性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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The global existence and uniqueness of smooth solutions to a fluid-particle interaction model in the flowing regime

This paper is concerned with the Cauchy problem for a 3D fluid-particle interaction model in the so-called flowing regime in ℝ³. Under the smallness assumption on both the external potential and the initial perturbation of the stationary solution in some Sobolev spaces, the existence and uniqueness of global smooth solutions in H³ of the system are established by using the careful energy method.

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来源期刊

Acta Mathematica Scientia 数学-数学

CiteScore

2.00

自引率

10.00%

发文量

2614

审稿时长

6 months

期刊介绍： Acta Mathematica Scientia was founded by Prof. Li Guoping (Lee Kwok Ping) in April 1981. The aim of Acta Mathematica Scientia is to present to the specialized readers important new achievements in the areas of mathematical sciences. The journal considers for publication of original research papers in all areas related to the frontier branches of mathematics with other science and technology.