Global Smooth Solutions to the n-Dimensional Damped Models of Incompressible Fluid Mechanics with Small Initial Datum

  • Wu, Jiahong
  • Xu, Xiaojing
  • Ye, Zhuan
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초록

In this paper, we consider the -dimensional () damped models of incompressible fluid mechanics in Besov spaces and establish the global (in time) regularity of classical solutions provided that the initial data are suitable small.

키워드

Boussinesq equationsSurface quasi-geostrophic equationMagnetohydrodynamics equationsDampingGlobal regularitySmall initial datumQUASI-GEOSTROPHIC EQUATIONBLOW-UP CRITERION2D BOUSSINESQ EQUATIONSWELL-POSEDNESSEULER EQUATIONSMHD EQUATIONSREGULARITY CRITERIAMAXIMUM-PRINCIPLESLOCAL EXISTENCELIFE-SPAN
제목
Global Smooth Solutions to the n-Dimensional Damped Models of Incompressible Fluid Mechanics with Small Initial Datum
저자
Wu, JiahongXu, XiaojingYe, Zhuan
DOI
10.1007/s00332-014-9224-7
발행일
2015-02
유형
Article
저널명
Journal of Nonlinear Science
25
1
페이지
157 ~ 192