可压缩Navier-Stokes方程背景扰动的稳定性

IF 1.8 3区数学 Q1 MATHEMATICS, APPLIED

Nonlinear Analysis-Real World Applications Pub Date : 2025-08-05 DOI:10.1016/j.nonrwa.2025.104472

Shijin Deng , Xiaochun Yang

引用次数: 0

摘要

本文比较了n=2或3维可压缩Navier-Stokes方程的两种解，其中对应的初始函数分别是两个邻近背景态F→α(α=a,b)附近的小扰动。我们证明了这两个解的差连续依赖于两个背景状态的差|F→b−F→a|，并利用改进的格林函数法和改进的能量法给出了在这种比较设置下Lp范数的最优渐近估计。

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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Stabilities of the background perturbations for compressible Navier–Stokes equations

In this paper, we compare two solutions for the compressible Navier–Stokes equations in dimension

n = 2

or 3 where the corresponding initial functions are small perturbations around two nearby background states

{\vec{F}}_{α} (α = a, b)

respectively. We prove that the difference of those two solutions is continuously dependent on the difference

| {\vec{F}}_{b} - {\vec{F}}_{a} |

of two background states and also give an optimal asymptotic estimate in

L^{p}

norm in this comparison setting by the refined Green’s function method and also the refined energy method.

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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.