Strong solutions to a nonlinear parabolic system modeling compressible miscible displacement in porous media

DOI10.1016/0362-546X(94)90202-XzbMath0822.35065MaRDI QIDQ4322195

Xiaobing Feng

Publication date: 9 March 1995

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

compressible fluidmiscible replacement

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Initial value problems for second-order hyperbolic equations (35L15) Initial value problems for second-order parabolic systems (35K45)

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Semi-classical solutions for a nonlinear coupled elliptic-parabolic problem ⋮ Time of complete displacement of an immiscible compressible fluid by water in porous media: application to gas migration in a deep nuclear waste repository ⋮ An existence result for a coupled system modeling a fully equivalent global pressure formulation for immiscible compressible two-phase flow in porous media ⋮ Numerical solution of highly non-linear fractional order reaction advection diffusion equation using the cubic B-spline collocation method ⋮ Finite difference methods for a nonlinear and strongly coupled heat and moisture transport system in textile materials ⋮ Periodic solutions of non-isothermal phase separation models with constraint ⋮ Slightly compressible and immiscible two-phase flow in porous media ⋮ Global existence of weak solution to the heat and moisture transport system in fibrous porous media ⋮ On a nonlinear parabolic system modelling miscible compressible displacement in porous media ⋮ Global weak solutions for a parabolic system modeling a one-dimensional miscible flow in porous media ⋮ New analysis and recovery technique of mixed FEMs for compressible miscible displacement in porous media ⋮ Classical solutions of a parabolic-hyperbolic system modeling a three-dimensional compressible miscible flow in porous media

Cites Work

• On existence and uniqueness results for a coupled systems modeling miscible displacement in porous media
• Numerical Methods for a Model for Compressible Miscible Displacement in Porous Media
• Nonhomogeneous Viscous Incompressible Fluids: Existence of Velocity, Density, and Pressure
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