Global strong solution and exponential decay to the 3D incompressible Bénard system with density-dependent viscosity and vacuum (Q6044586)

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scientific article; zbMATH DE number 7687338
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Global strong solution and exponential decay to the 3D incompressible Bénard system with density-dependent viscosity and vacuum
scientific article; zbMATH DE number 7687338

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    Global strong solution and exponential decay to the 3D incompressible Bénard system with density-dependent viscosity and vacuum (English)
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    22 May 2023
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    The authors study solvability of the 3D Rayleigh-Bénard system describing convective motion in a heated layer of viscous fluid with variable density. The existence of a global strong solution is proved, together with some exponential decay estimates, for suitable initial data with small fluctuations.
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    Bénard system
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    global strong solution
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    exponential decay
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