A well-posedness theory in Sobolev spaces for the stochastic magnetohydrodynamic equations in the whole space

2020/07/27 by Kim, Ildoo, Yang, Minsuk
#2010 MSC: 60H15 #35Q35 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2007.13304

Abstract

We prove the existence of a mild solution to the three dimensional incompressible stochastic magnetohydrodynamic equations in the whole space with the initial data which belong to the Sobolev spaces.

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