Local existence and blow-up criterion for the two and three dimensional ideal magnetic Benard problem

In this article, we consider the ideal magnetic Benard problem in both two and three dimensions and prove the existence and uniqueness of strong local-in-time solutions, in H<sup>s</sup> for s &gt; (n/2)+1, n = 2,3. In addition, a necessary condition is derived for singularity d...

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Bibliographic Details
Main Authors: Utpal Manna, Akash Ashirbad Panda
Format: Article
Language:English
Published: Texas State University 2020-09-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2020/91/abstr.html