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Initial-boundary value problem for two-dimensional viscous Boussinesq equations - MaRDI portal

Initial-boundary value problem for two-dimensional viscous Boussinesq equations (Q717454)

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scientific article; zbMATH DE number 5952960
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Initial-boundary value problem for two-dimensional viscous Boussinesq equations
scientific article; zbMATH DE number 5952960

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    Initial-boundary value problem for two-dimensional viscous Boussinesq equations (English)
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    4 October 2011
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    In the paper under review the authors study the initial boundary value problem of two-dimensional viscous Boussinesq equations over a bounded domain with smooth boundary. They show that the equations have unique classical solution for \(H^3\) initial data and no-slip boundary condition. In addition, the authors show that the kinetic energy is uniformly bounded in time.
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    viscous Boussinesq equations
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