无限长收敛通道中二维稳定Navier-Stokes方程Landau-Lifschitz解的唯一性

IF 2.9 3区数学 Q1 MATHEMATICS, APPLIED

Physica D: Nonlinear Phenomena Pub Date : 2025-06-21 DOI:10.1016/j.physd.2025.134802

Jiaqi Yang

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引用次数: 0

摘要

研究了无限长收敛通道中二维稳定Navier-Stokes方程解的唯一性。在Landau and Lifschitz的著作（Landau and Lifschitz, 1987）中，他们得到了一个精确解。我们称之为朗道-利夫希茨解。一个自然的问题是朗道-利夫希茨解是否是唯一解。本文试图回答这个问题。

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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Uniqueness of Landau–Lifschitz solution of the 2D steady Navier–Stokes equations in an infinitely long convergent channel

This paper concerns the uniqueness of the solution to the 2D steady Navier–Stokes equations in an infinitely long convergent channel. In Landau and Lifschitz’s book (Landau and Lifschitz, 1987), they obtained an exact solution. We call it the Landau–Lifschitz solution. A natural question is whether the Landau–Lifschitz solution is a unique solution. This paper tries to answer this question.

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来源期刊

Physica D: Nonlinear Phenomena 物理-物理：数学物理

CiteScore

7.30

自引率

7.50%

发文量

213

审稿时长

65 days

期刊介绍： Physica D (Nonlinear Phenomena) publishes research and review articles reporting on experimental and theoretical works, techniques and ideas that advance the understanding of nonlinear phenomena. Topics encompass wave motion in physical, chemical and biological systems; physical or biological phenomena governed by nonlinear field equations, including hydrodynamics and turbulence; pattern formation and cooperative phenomena; instability, bifurcations, chaos, and space-time disorder; integrable/Hamiltonian systems; asymptotic analysis and, more generally, mathematical methods for nonlinear systems.