TY - JOUR
T1 - Very weak solutions for the magnetohydrodynamic type equations
AU - Villamizar-Roa, Elder Jesús
AU - Lamos-Díaz, Henry
AU - Arenas-Díaz, Gilberto
PY - 2008/11
Y1 - 2008/11
N2 - 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.
AB - 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.
KW - Continuous dependence
KW - Magnetohydrodynamic equations
KW - Very weak solutions
UR - http://www.scopus.com/inward/record.url?scp=57849148626&partnerID=8YFLogxK
M3 - Artículo Científico
AN - SCOPUS:57849148626
SN - 1531-3492
VL - 10
SP - 957
EP - 972
JO - Discrete and Continuous Dynamical Systems - Series B
JF - Discrete and Continuous Dynamical Systems - Series B
IS - 4
ER -