We prove the following theorem for a finitely generated field $K$: Let $M$ be
a Galois extension of $K$ which is not separably closed. Then $M$ is not PAC
over $K$.Comment: 7 pages, Math. 

Ben Omrane, Ines

Gala, Sadek

Kim, Jae-Myoung

Ragusa, Maria Alessandra

English

arXiv

summary:In this paper, the Cauchy problem for the $3D$ Leray-$\alpha $-MHD model is investigated. We obtain the logarithmically improved blow-up criterion of smooth solutions for the Leray-$\alpha $-MHD model in terms of the magnetic field $B$ only in the framework of homogeneous Besov space with negative index

Institute of Mathematics AS CR, v. v. i.

Logarithmically improved blow-up criterion for smooth solutions to the Leray-$\alpha $-magnetohydrodynamic equations

Crossref

Czech digital mathematics library