Global existence of solutions for incompressible magnetohydrodynamic equations

Wisam Alame, and W. M. Zajączkowski. "Global existence of solutions for incompressible magnetohydrodynamic equations." Applicationes Mathematicae 31.2 (2004): 201-208. <http://eudml.org/doc/279806>.

@article{WisamAlame2004,
abstract = {Global-in-time existence of solutions for incompressible magnetohydrodynamic fluid equations in a bounded domain Ω ⊂ ℝ³ with the boundary slip conditions is proved. The proof is based on the potential method. The existence is proved in a class of functions such that the velocity and the magnetic field belong to $W_p^\{2,1\}(Ω×(0,T))$ and the pressure q satisfies $∇q ∈ L_p(Ω×(0,T))$ for p ≥ 7/3.},
author = {Wisam Alame, W. M. Zajączkowski},
journal = {Applicationes Mathematicae},
keywords = {global existence; magnetohydrodynamic incompressible fluid; bounded domain; boundary slip conditions; potential method},
language = {eng},
number = {2},
pages = {201-208},
title = {Global existence of solutions for incompressible magnetohydrodynamic equations},
url = {http://eudml.org/doc/279806},
volume = {31},
year = {2004},
}

TY - JOUR
AU - Wisam Alame
AU - W. M. Zajączkowski
TI - Global existence of solutions for incompressible magnetohydrodynamic equations
JO - Applicationes Mathematicae
PY - 2004
VL - 31
IS - 2
SP - 201
EP - 208
AB - Global-in-time existence of solutions for incompressible magnetohydrodynamic fluid equations in a bounded domain Ω ⊂ ℝ³ with the boundary slip conditions is proved. The proof is based on the potential method. The existence is proved in a class of functions such that the velocity and the magnetic field belong to $W_p^{2,1}(Ω×(0,T))$ and the pressure q satisfies $∇q ∈ L_p(Ω×(0,T))$ for p ≥ 7/3.
LA - eng
KW - global existence; magnetohydrodynamic incompressible fluid; bounded domain; boundary slip conditions; potential method
UR - http://eudml.org/doc/279806
ER -