A regularity criterion for the 3D full compressible magnetohydrodynamic equations with zero heat conductivity
Jishan Fan, Fucai Li, Gen Nakamura
TL;DR
This paper establishes a regularity criterion for the 3D full compressible magnetohydrodynamic equations with zero heat conductivity and vacuum, providing conditions under which solutions remain smooth in a bounded domain.
Contribution
It introduces a new regularity criterion specifically for the 3D compressible MHD equations with zero heat conductivity, addressing vacuum conditions.
Findings
Regularity criterion for 3D compressible MHD equations
Conditions ensuring solution smoothness in bounded domains
Addresses vacuum and zero heat conductivity scenarios
Abstract
We establish a regularity criterion for the 3D full compressible magnetohydrodynamic equations with zero heat conductivity and vacuum in a bounded domain.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsNavier-Stokes equation solutions · Advanced Mathematical Physics Problems · Computational Fluid Dynamics and Aerodynamics