具有阻尼的三维非齐次不可压缩Navier-Stokes方程的全局正则性

Pub Date : 2022-10-11 DOI:10.21136/AM.2022.0166-21

Kwang-Ok Li, Yong-Ho Kim

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引用次数: 0

摘要

研究了三维非齐次不可压缩带阻尼的Navier-Stokes方程。我们找到了保证大初速度和大外力下柯西问题全局强解存在的参数范围，并证明了强解的唯一性。本文对非均匀粘性不可压缩流体的三维不可压缩阻尼Navier-Stokes方程的存在唯一性定理进行了推广。

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Global regularity for the 3D inhomogeneous incompressible Navier-Stokes equations with damping

This paper is concerned with the 3D inhomogeneous incompressible Navier-Stokes equations with damping. We find a range of parameters to guarantee the existence of global strong solutions of the Cauchy problem for large initial velocity and external force as well as prove the uniqueness of the strong solutions. This is an extension of the theorem for the existence and uniqueness of the 3D incompressible Navier-Stokes equations with damping to inhomogeneous viscous incompressible fluids.

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