Existence and uniqueness in critical spaces for the magnetohydrodynamical system in R n
Résumé
We give a description of a magnetohydrodynamical system in n dimension using the exterior derivative. We then prove existence of global solutions for small initial data and local existence for arbitrary large data in two classes of critical spaces-L q t L p x and C t L p x , as well as uniqueness for solutions in C t L p x .
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