带阻尼的三维纳维-斯托克斯方程的局部和全局强解

IF 1.1 3区数学 Q1 MATHEMATICS

Journal of Evolution Equations Pub Date : 2024-07-05 DOI:10.1007/s00028-024-00987-2

Kwang-Ok Li, Yong-Ho Kim, Yong-Nam Kim, Sung-Il O

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引用次数: 0

摘要

本文研究了具有阻尼的三维纳维-斯托克斯方程在整个空间和有界域中弱解的正则性。我们找到了保证强解局部存在的初速度空间限制。在此基础上，我们完善了全空间全局强解的存在性结果，并改进了阻尼指数的限制，以保证有界域全局强解的存在性。

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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Local and global strong solutions to the 3D Navier–Stokes equations with damping

This paper studies regularity properties of the weak solutions to the 3D Navier–Stokes equations with damping in the whole space and bounded domains. We find the space restriction on the initial velocity to guarantee the local existence of strong solutions. Based on it, we complete the existence results for the global strong solutions in the whole space and improve the restriction on the damping exponent for the existence of the global strong solutions in the bounded domains.

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来源期刊

Journal of Evolution Equations 数学-数学

CiteScore

2.30

自引率

7.10%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Evolution Equations (JEE) publishes high-quality, peer-reviewed papers on equations dealing with time dependent systems and ranging from abstract theory to concrete applications. Research articles should contain new and important results. Survey articles on recent developments are also considered as important contributions to the field. Particular topics covered by the journal are: Linear and Nonlinear Semigroups Parabolic and Hyperbolic Partial Differential Equations Reaction Diffusion Equations Deterministic and Stochastic Control Systems Transport and Population Equations Volterra Equations Delay Equations Stochastic Processes and Dirichlet Forms Maximal Regularity and Functional Calculi Asymptotics and Qualitative Theory of Linear and Nonlinear Evolution Equations Evolution Equations in Mathematical Physics Elliptic Operators