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Displaying similar documents to “Global weak solutions for a degenerate parabolic system modelling a one-dimensional compressible miscible flow in porous media”

Homogenization of a one-dimensional model for compressible miscible flow in porous media

Catherine Choquet (2003)

Bollettino dell'Unione Matematica Italiana

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We discuss the homogenization of a one-dimensional model problem describing the motion of a compressible miscible flow in porous media. The flow is governed by a nonlinear system of parabolic type coupling the pressure and the concentration. Using the technique of renormalized solutions for parabolic equations and a compensated compactness argument, we prove the stability of the homogenization process.

Non-negative solutions to fast diffusions.

Bjorn E. J. Dahlberg, Carlos E. Kenig (1988)

Revista Matemática Iberoamericana

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The purpose of this work is to study the class of non-negative continuous weak solutions of the non-linear evolution equation ∂u/∂t = ∆φ(u),   x ∈ Rn, 0 < t < T ≤ +∞.