Analyticity of solutions to the stationary Navier–Stokes equations via parameter trick

IF 1.8 3区数学 Q1 MATHEMATICS, APPLIED

Nonlinear Analysis-Real World Applications Pub Date : 2025-01-26 DOI:10.1016/j.nonrwa.2025.104319

Hideo Kozono , Senjo Shimizu

引用次数: 0

Abstract

We prove analyticity of small solutions to the stationary Navier–Stokes equations in the scaling invariant homogeneous Besov space by using the method of “parameter trick”. This method has been known as an elegant technique for the proof of time–space analyticity of solutions to semi-linear and even quasi-linear parabolic equations. Such a method enables us to apply to the proof for the nonlinear elliptic systems.

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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.