Abstract
We consider an initial-boundary-value problem for a nonlinear differential system consisting of one equation of parabolic type coupled with an $n \times n$ semilinear hyperbolic system of first order. This system of equations describes the compressible, $ ( n +1 )$-component, miscible displacement in a porous medium, without including effects of molecular diffusion and dispersion. Assuming some regularity conditions on the data, we prove the existence (locally in time) and uniqueness of classical solutions.
Citation
Youcef Amirat. Abdelhamid Ziani. "Classical solutions for a multicomponent flow model in porous media." Differential Integral Equations 17 (7-8) 893 - 920, 2004. https://doi.org/10.57262/die/1356060335
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