On the cauchy problem of 3D compressible, viscous, heat-conductive navier-stokes-Poisson equations subject to large and non-flat doping profile

In this paper, we study an initial value problem of the Navier-Stokes-Poisson equations for compressible, viscous, heat-conducting flows on the whole space R 3 . The global well-posedness of strong solutions subject to large and non-flat doping profile is established. The initial data is of small en...

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Bibliographic Details
Published inCalculus of variations and partial differential equations Vol. 61; no. 5
Main Authors Xu, Xinying, Zhang, Jianwen, Zhong, Minghui
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.10.2022
Springer Nature B.V
Subjects
Analysis
Boundary value problems
Calculus of Variations and Optimal Control; Optimization
Cauchy problems
Compressibility
Control
Doping
Fluid flow
Heat transmission
Mathematical analysis
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Navier-Stokes equations
Poisson equation
Systems Theory
Theoretical
35G55
35M11
35A02
35A01
35Q81
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Summary:In this paper, we study an initial value problem of the Navier-Stokes-Poisson equations for compressible, viscous, heat-conducting flows on the whole space R 3 . The global well-posedness of strong solutions subject to large and non-flat doping profile is established. The initial data is of small energy but possible large oscillations, and the initial density is allowed to contain vacuum states.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0944-2669
1432-0835
DOI:10.1007/s00526-022-02280-x