Local Well-Posedness of Strong Solutions for the Nonhomogeneous MHD Equations with a Slip Boundary Conditions

Local Well-Posedness of Strong Solutions for the Nonhomogeneous MHD Equations with a Slip Boundary Conditions

This article is concerned with the 3D nonhomogeneous incompressible magneto- hydrodynamics equations with a slip boundary conditions in bounded domain. We obtain weighted estimates of the velocity and magnetic field, and address the issue of local existence and uniqueness of strong solutions with th...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Acta mathematica scientia 2020-03, Vol.40 (2), p.442-456
Hauptverfasser: Li, Hongmin, Xiao, Yuelong
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Mathematics
Mathematics and Statistics
Physical Sciences
Science & Technology
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:This article is concerned with the 3D nonhomogeneous incompressible magneto- hydrodynamics equations with a slip boundary conditions in bounded domain. We obtain weighted estimates of the velocity and magnetic field, and address the issue of local existence and uniqueness of strong solutions with the weaker initial data which contains vacuum states.
ISSN:0252-9602
1572-9087
DOI:10.1007/s10473-020-0210-x