- 08-34 Igor Chueshov
- Global unique solvability of 3D MHD equations in
a thin periodic domain
Feb 23, 08
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Abstract. 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 $L_2$ type space. We also show that the solutions constructed become smoother for positive time and prove the global existence of (unique) strong solutions.