# American Institute of Mathematical Sciences

September  2008, 10(4): 957-972. doi: 10.3934/dcdsb.2008.10.957

## Very weak solutions for the magnetohydrodynamic type equations

 1 Universidad Industrial de Santander, Bucaramanga, Santander, A.A. 678, Colombia, Colombia, Colombia

Received  August 2007 Revised  March 2008 Published  August 2008

We consider the magnetohydrodynamic type equations with non-smooth Dirichlet boundary conditions for the velocity and the magnetic fields. We prove the existence of a kind of distributional solutions called very weak solutions and the continuous dependence of these solutions regarding the data; as a consequence, the uniqueness of very weak solutions is also obtained.
Citation: Elder Jesús Villamizar-Roa, Henry Lamos-Díaz, Gilberto Arenas-Díaz. Very weak solutions for the magnetohydrodynamic type equations. Discrete and Continuous Dynamical Systems - B, 2008, 10 (4) : 957-972. doi: 10.3934/dcdsb.2008.10.957
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