The Energy Conservations and Lower Bounds for Possible Singular Solutions to the 3D Incompressible MHD Equations

The Energy Conservations and Lower Bounds for Possible Singular Solutions to the 3D Incompressible MHD Equations

In this note, we give a new proof to the energy conservation for the weak solutions of the incompressible 3D MHD equations. Moreover, we give the lower bounds for possible singular solutions to the incompressible 3D MHD equations.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Acta mathematica scientia 2020, Vol.40 (1), p.237-244
1. Verfasser: Kim, Jae-Myoung
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:In this note, we give a new proof to the energy conservation for the weak solutions of the incompressible 3D MHD equations. Moreover, we give the lower bounds for possible singular solutions to the incompressible 3D MHD equations.
ISSN:0252-9602
1572-9087
DOI:10.1007/s10473-020-0116-x