On the Blow-up Criterion of Magnetohydrodynamics Equations in Homogeneous Sobolev Spaces

Autor:	Marcon, Diego, Melo, Wilberclay G., Schutz, Lineia, Ziebell, Juliana S.
Rok vydání:	2015
Předmět:	Mathematics - Analysis of PDEs
Druh dokumentu:	Working Paper
Popis:	In this paper, we obtain new lower bounds on the Homogeneous Sobolev--norms of the maximal solution of the Magnetohydrodynamics Equations. This gives us some insight on the blow-up behavior of the solution. We utilize standard techniques from the Navier--Stokes Equations. Comment: 9 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1506.01383 Zobrazit plný text záznamu View this record from Arxiv