Flow through a porous column
type: Item
instance of: scholarly article
title: Flow through a porous column
zbMATH Open document ID: 0595.76097
DOI: 10.1016/0022-247X(85)90182-9
author: Noemí Wolanski
published in: Journal of Mathematical Analysis and Applications
publication date: 1985-01-01T00:00:00Z
review text: The general equations describing the steady-state flow through a porous column are assumed. In this paper, the existence, uniqueness and comparison results for the solutions of the equations with Dirichlet and mixed boundary conditions are obtained. The existence of a weak solution to the evolution problem is also deduced. The governing equations are highly nonlinear. Solutions are mostly in terms of inequalities. The method of finite differences and the idea of finite elements are used for the numerical solutions, even though such problems require more of analytical solution. Nevertheless, the paper is useful to scientists and engineers besides the mathematicians.
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 35B30
Mathematics Subject Classification ID: 39A10
zbMATH DE Number: 3959034
zbMATH Keywords: Dirichlet problem
zbMATH Keywords: steady-state flow
zbMATH Keywords: porous column
zbMATH Keywords: existence
zbMATH Keywords: uniqueness
zbMATH Keywords: comparison results for the solutions
zbMATH Keywords: mixed boundary conditions
zbMATH Keywords: existence of a weak solution
zbMATH Keywords: evolution problem
zbMATH Keywords: finite elements
zbMATH Keywords: numerical solutions
zbMATH Keywords: analytical solution
MaRDI profile type: Publication
cites work: Regularity Propeties of Flows Through Porous Media
cites work: Q3568481
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description: scientific article; zbMATH DE number 3959034