具有滑移边界条件的二维可压缩Navier-Stokes方程大解的大时间行为

IF 1.8 3区数学 Q1 MATHEMATICS, APPLIED

Nonlinear Analysis-Real World Applications Pub Date : 2025-10-10 DOI:10.1016/j.nonrwa.2025.104517

Ying Dai , Ying Sun , Hao Xu

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引用次数: 0

摘要

研究二维正压可压缩Navier-Stokes方程在滑移边界条件下的初边值问题。在密度从上到下均匀有界的假设下，我们研究了其相关平衡解的收敛性和指数衰减率。分析是基于初等能量法、爆破判据技术和一些新的速度梯度估计。

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Large-time behavior of large solutions to the 2D compressible Navier–Stokes equations with slip boundary conditions

This paper is concerned with an initial-boundary value problem of 2D barotropic compressible Navier–Stokes equations subject to slip boundary conditions. Under the assumption that the density is uniformly bounded from above, we study the convergence of the solutions to its associated equilibrium with an exponential decay rate. The analysis is based on the elementary energy methods, the techniques from blow-up criterion and some new estimates for the gradient of velocity.

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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.