On the global stability of large solutions for the Boussinesq equations with Navier boundary conditions (Q2025604)
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scientific article; zbMATH DE number 7348120
| Language | Label | Description | Also known as |
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| English | On the global stability of large solutions for the Boussinesq equations with Navier boundary conditions |
scientific article; zbMATH DE number 7348120 |
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On the global stability of large solutions for the Boussinesq equations with Navier boundary conditions (English)
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14 May 2021
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The paper concerns the Boussinesq equations in a three-dimensional bounded domain with Navier boundary conditions for the velocity field and homogeneous Dirichlet conditions for the density/temperature function. Besides establishing the existence of local strong solutions in a Hilbert space framework, the author shows that global strong solutions are stable provided that they satisfy an additional integrability property. The proofs are based on the derivation of suitable energy estimates.
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Boussinesq equations
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stability
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Navier boundary conditions
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