Natã Firmino Rocha - UESPI

Título:

Existence and Behavior of Local Solutions for the Generalized MHD Equations in Lei-Lin Spaces.

Resumo:

This talk we present a study related to the local existence, uniqueness and properties at potential blow-up times for solutions of the generalized Magnetohydrodynamics (GMHD) equations in Lei-Lin spaces. Although our interest is only connected with the mathematical theory of incompressible fluids, it is important to point out that Magnetohydrodynamics is a branch of Physics devoted to the study of the dynamics of electrically conducting fluids in the presence of magnetic fields. The existence of global solutions in time for the GMHD equations is still an open problem; thus, this issue has become a fruitful field in the study of the incompressible fluids.

This is a joint work with Wilberclay Gonçalves Melo and Cilon Perusato.