Uniqueness of solution for incompressible inhomogeneous Navier–Stokes equations in dimension two

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2025-01-03 DOI:10.1016/j.aml.2024.109449

Yelei Guo, Chinyin Qian

引用次数: 0

Abstract

The global existence of solution for 2D inhomogeneous incompressible Navier–Stokes equations is established by Abidi et al. (2024), and the uniqueness of solution is also investigated under some additional conditions on initial density. The purpose of this paper is to obtain the uniqueness of the solution without any additional assumptions on the initial density in case of 2≤p<4. The key strategy is to establish a new estimate of solution in Lagrangian coordinates.

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二维不可压缩非齐次Navier-Stokes方程解的唯一性

Abidi et al.（2024）建立了二维非齐次不可压缩Navier-Stokes方程解的整体存在性，并在初始密度的附加条件下研究了解的唯一性。3 .本文的目的是在2≤p<的情况下，在不附加初始密度假设的情况下，得到解的唯一性；关键的策略是在拉格朗日坐标系中建立一个新的解的估计。

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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来源期刊

Applied Mathematics Letters 数学-应用数学

CiteScore

7.70

自引率

5.40%

发文量

347

审稿时长

10 days

期刊介绍： The purpose of Applied Mathematics Letters is to provide a means of rapid publication for important but brief applied mathematical papers. The brief descriptions of any work involving a novel application or utilization of mathematics, or a development in the methodology of applied mathematics is a potential contribution for this journal. This journal''s focus is on applied mathematics topics based on differential equations and linear algebra. Priority will be given to submissions that are likely to appeal to a wide audience.