Vanishing viscosity limit for viscous magnetohydrodynamic equations with a slip boundary condition

Details Vanishing viscosity limit for viscous magnetohydrodynamic equations with a slip boundary condition Vanishing viscosity limit for viscous magnetohydrodynamic equations with a slip boundary condition

2010-09-07

arxiv.org/abs/1009.1258v1

Mathematics

Analysis of PDEs

13 pages

Scientific paper

We consider the evolutionary MHD systems, and study the the regularity and
vanishing viscosity limit of the 3-D viscous system in a class of bounded
domains with a slip boundary condition. We derive the convergence is in
H^{2k+1}, for k>0, if the initial date holds some sufficient conditions.

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