Global unique solvability of 3 D MHD equations in a thin periodic domain

@inproceedings{Chueshov2008GlobalUS,
  title={Global unique solvability of 3 D MHD equations in a thin periodic domain},
  author={Igor Chueshov},
  year={2008}
}
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… CONTINUE READING