Abstract
This article is concerned with the 3D nonhomogeneous incompressible magneto- hydrodynamics equations with a slip boundary conditions in bounded domain. We obtain weighted estimates of the velocity and magnetic field, and address the issue of local existence and uniqueness of strong solutions with the weaker initial data which contains vacuum states.
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This work was supported by Natural Science Foundation of China (11871412).
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Li, H., Xiao, Y. Local Well-Posedness of Strong Solutions for the Nonhomogeneous MHD Equations with a Slip Boundary Conditions. Acta Math Sci 40, 442–456 (2020). https://doi.org/10.1007/s10473-020-0210-x
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DOI: https://doi.org/10.1007/s10473-020-0210-x
Key words
- Nonhomogeneous MHD equations
- local existence and uniqueness
- vacuum
- t-weighted H2 estimate
- Galerkin approximation