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A spatial decay bound for an anisotropic penetrative convective Darcy flow - MaRDI portal

A spatial decay bound for an anisotropic penetrative convective Darcy flow (Q2488737)

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A spatial decay bound for an anisotropic penetrative convective Darcy flow
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    A spatial decay bound for an anisotropic penetrative convective Darcy flow (English)
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    11 May 2006
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    The author studies an isotropic penetrative convective Darcy flow in a semi-infinite cylindrical pipe and derives a Saint-Venant's type decay of solution, for particular boundary conditions. Aditionally, an energy estimate is obtained in terms of the eigenvalues of Dirichlet and Neumann problems on the cross-section of the pipe.
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    energy estimate
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    differential inequality
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