On the Cauchy problem of compressible full Hall-MHD equations

On the Cauchy problem of compressible full Hall-MHD equations

This paper is concerned with an initial value problem of the compressible full Hall-MHD equations in three-dimensional whole space. Both the global existence and the optimal decay rates of solutions are obtained, when the smooth initial data are sufficiently close to the non-vacuum equilibrium in H...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Zeitschrift für angewandte Mathematik und Physik 2019-10, Vol.70 (5), p.1-22, Article 139
Hauptverfasser: Lai, Suhua, Xu, Xinying, Zhang, Jianwen
Format: Artikel
Sprache:eng
Schlagworte:
Boundary value problems
Cauchy problems
Compressibility
Decay rate
Engineering
Hall effect
Mathematical analysis
Mathematical Methods in Physics
Theoretical and Applied Mechanics
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:This paper is concerned with an initial value problem of the compressible full Hall-MHD equations in three-dimensional whole space. Both the global existence and the optimal decay rates of solutions are obtained, when the smooth initial data are sufficiently close to the non-vacuum equilibrium in H 1 . As a by-product of the uniform estimates, the vanishing limit of Hall coefficient is also justified.
ISSN:0044-2275
1420-9039
DOI:10.1007/s00033-019-1178-z