Local well-posedness of strong solutions to the 2D nonhomogeneous primitive equations with density-dependent viscosity

IF 1.8 3区数学 Q1 MATHEMATICS, APPLIED

Nonlinear Analysis-Real World Applications Pub Date : 2025-02-20 DOI:10.1016/j.nonrwa.2025.104337

Quansen Jiu , Lin Ma , Fengchao Wang

引用次数: 0

Abstract

In this paper, we consider the initial–boundary value problem of the nonhomogeneous primitive equations with density-dependent viscosity. Local well-posedness of strong solutions is established for this system with a natural compatibility condition. The initial density does not need to be strictly positive and may contain vacuum. Meanwhile, we also give the corresponding blow-up criterion if the maximum existence interval with respect to the time is finite.

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二维黏度非齐次原始方程强解的局部适定性

本文研究具有密度依赖黏度的非齐次原始方程的初边值问题。在自然相容条件下，建立了该系统强解的局部适定性。初始密度不必严格为正，可以包含真空。同时，在最大存在区间相对于时间是有限的情况下，给出了相应的爆破判据。

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

Nonlinear Analysis-Real World Applications 数学-应用数学

CiteScore

3.80

自引率

5.00%

发文量

176

审稿时长

59 days

期刊介绍： Nonlinear Analysis: Real World Applications welcomes all research articles of the highest quality with special emphasis on applying techniques of nonlinear analysis to model and to treat nonlinear phenomena with which nature confronts us. Coverage of applications includes any branch of science and technology such as solid and fluid mechanics, material science, mathematical biology and chemistry, control theory, and inverse problems. The aim of Nonlinear Analysis: Real World Applications is to publish articles which are predominantly devoted to employing methods and techniques from analysis, including partial differential equations, functional analysis, dynamical systems and evolution equations, calculus of variations, and bifurcations theory.