Global strong solution and exponential decay for nonhomogeneous Navier-Stokes and magnetohydrodynamic equations (Q2033747)
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scientific article; zbMATH DE number 7360593
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Global strong solution and exponential decay for nonhomogeneous Navier-Stokes and magnetohydrodynamic equations |
scientific article; zbMATH DE number 7360593 |
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Global strong solution and exponential decay for nonhomogeneous Navier-Stokes and magnetohydrodynamic equations (English)
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17 June 2021
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The author considers the magnetohydrodynamic equations in two spatial dimensions in a smooth domain. Boundary conditions are nonpermeability, both for magnetic field and velocity. The flow is non-divergent. The aim is to establish global existence and uniqueness of strong solutions and their exponential decay. Initial data are assumed to be Sobolev-smooth enough.
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nonhomogeneous magnetohydrodynamic equations
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global strong solution
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existence
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uniqueness
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Sobolev space
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large initial data
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vacuum
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