The combined inviscid and non-resistive limit for the nonhomogeneous incompressible magnetohydrodynamic equations with Navier boundary conditions |
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Authors: | Zhipeng ZHANG |
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Institution: | 1. Institute of Applied Physics and Computational Mathematics, Beijing 100088, China;2. Department of Mathematics, Nanjing University, Nanjing 210093, China |
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Abstract: | In this paper, we establish the existence of the global weak solutions for the nonhomogeneous incompressible magnetohydrodynamic equations with Navier boundary conditions for the velocity field and the magnetic field in a bounded domain ? ? R3. Furthermore,we prove that as the viscosity and resistivity coefficients go to zero simultaneously, these weak solutions converge to the strong one of the ideal nonhomogeneous incompressible magnetohydrodynamic equations in energy space. |
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Keywords: | nonhomogeneous incompressible MHD equations Navier boundary conditions inviscid and non-resistive limit 35Q30 76D03 76D05 76D07 |
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