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• W2071520811 abstract "We mathematically analyze an initial-boundary value problem that involves a nonlinear Volterra partial integro-differential equation derived using hybrid mixture theory and used to model swelling porous materials where the application is an immersed, porous cylindrical material imbibing fluid through its exterior boundary. The model is written as an initial-boundary value problem and we establish well-posedness and numerically solve it using a novel approach to constructing pseudospectral differentiation matrices in a polar geometry. Numerical results are obtained and interpretations are provided for a small variety of diffusion and permeability coefficients and parameters to simulate the model's behavior and to demonstrate its viability as a model for swelling porous materials exhibiting viscoelastic behavior." @default.
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• W2071520811 date "2014-01-01" @default.
• W2071520811 modified "2023-09-24" @default.
• W2071520811 title "WELL-POSEDNESS AND NUMERICAL SOLUTION OF A NONLINEAR VOLTERRA PARTIAL INTEGRO-DIFFERENTIAL EQUATION MODELING A SWELLING POROUS MATERIAL" @default.
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• W2071520811 doi "https://doi.org/10.1615/jpormedia.v17.i9.20" @default.
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