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作者:

Jiu, Quansen (Jiu, Quansen.) | Liu, Jitao (Liu, Jitao.) (学者:刘继涛) | Wu, Jiahong (Wu, Jiahong.) | Yu, Huan (Yu, Huan.)

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摘要:

This paper focuses on the initial- and boundary-value problem for the two-dimensional micropolar equations with only angular velocity dissipation in a smooth bounded domain. The aim here is to establish the global existence and uniqueness of solutions by imposing natural boundary conditions and minimal regularity assumptions on the initial data. Besides, the global solution is shown to possess higher regularity when the initial datum is more regular. To obtain these results, we overcome two main difficulties: one due to the lack of full dissipation and one due to the boundary conditions. In addition to the global regularity problem, we also examine the large time behavior of solutions and obtain explicit decay rates.

关键词:

Global regularity Micropolar equations Partial dissipation Bounded domain

作者机构:

  • [ 1 ] [Jiu, Quansen]Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China
  • [ 2 ] [Liu, Jitao]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China
  • [ 3 ] [Wu, Jiahong]Oklahoma State Univ, Dept Math, Stillwater, OK 74078 USA
  • [ 4 ] [Yu, Huan]Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China

通讯作者信息:

  • 刘继涛

    [Liu, Jitao]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China

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来源 :

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK

ISSN: 0044-2275

年份: 2017

期: 5

卷: 68

2 . 0 0 0

JCR@2022

ESI学科: MATHEMATICS;

ESI高被引阀值:66

中科院分区:2

被引次数:

WoS核心集被引频次: 19

SCOPUS被引频次: 18

ESI高被引论文在榜: 0 展开所有

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