Global unique solvability of 3D MHD equations in a thin periodic domain
نویسنده
چکیده
We study magnetohydrodynamic equations for a viscous incompressible resistive fluid in a thin 3D domain. We prove the global existence and uniqueness of solutions corresponding to a large set of initial data from Sobolev type space of the order 1/2 and forcing terms from L2 type space. We also show that the solutions constructed become smoother for positive time and prove the global existence of (unique) strong solutions. MSC: primary 76W05; secondary 76D03, 35Q35
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تاریخ انتشار 2008