Flow through a porous column

The general equation describing the steady-state flow through a porous column is λu - DxA(Dxθ{symbol}(u) + G(u)) = f, where λ is a nonnegative constant. In this paper existence, uniqueness and comparison results for solutions to the Dirichlet and mixed boundary value problems associated with this eq...

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Autor principal: Wolanski, N.
Formato: JOUR
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Acceso en línea:http://hdl.handle.net/20.500.12110/paper_0022247X_v109_n1_p140_Wolanski
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Sumario:The general equation describing the steady-state flow through a porous column is λu - DxA(Dxθ{symbol}(u) + G(u)) = f, where λ is a nonnegative constant. In this paper existence, uniqueness and comparison results for solutions to the Dirichlet and mixed boundary value problems associated with this equation are proven. The existence of a weak solution to the evolution problems associated with the equation ut = Dx(Dxθ{symbol}(u) + G(u)) are deduced. © 1985.