Regularity criteria via horizontal component of velocity for the Boussinesq equations in anisotropic Lorentz spaces (Q6093054)
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scientific article; zbMATH DE number 7734699
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Regularity criteria via horizontal component of velocity for the Boussinesq equations in anisotropic Lorentz spaces |
scientific article; zbMATH DE number 7734699 |
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Regularity criteria via horizontal component of velocity for the Boussinesq equations in anisotropic Lorentz spaces (English)
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6 September 2023
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In this paper, the authors establish a regularity criteria for the weak solutions to the Boussinesq equations involving the horizontal component of velocity or the horizontal derivatives of the two components of velocity in anisotropic Lorentz spaces.
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weak solution
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strong solution
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a priori uniform bound
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continuation process
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interpolation inequality
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energy inequality
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Sobolev imbedding theorem
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