We consider a one-dimensional incompressible flow through a porous medium undergoing deformations, where the porosity depends on the flux intensity up to a threshold value, after which it remains constant. This assumption implies that the hyperbolic problem becomes degenerate.
Shock propagation in a flow through deformable porous media: possible degeneration of the hyperbolic problem / E.COMPARINI; M.UGHI. - In: ADVANCES IN MATHEMATICAL SCIENCES AND APPLICATIONS. - ISSN 1343-4373. - STAMPA. - 17 (1):(2007), pp. 23-35.
Shock propagation in a flow through deformable porous media: possible degeneration of the hyperbolic problem
COMPARINI, ELENA;
2007
Abstract
We consider a one-dimensional incompressible flow through a porous medium undergoing deformations, where the porosity depends on the flux intensity up to a threshold value, after which it remains constant. This assumption implies that the hyperbolic problem becomes degenerate.
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