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math.AP2016
Analysis of miscible displacement through porous media with vanishing molecular diffusion and singular wells
Jerome Droniou, Kyle S. Talbot
This article proves the existence of solutions to a model of incompressible miscible displacement through a porous medium, with zero molecular diffusion and modelling wells by spat…
math.AP2014
On a miscible displacement model in porous media flow with measure data
Jerome Droniou, Kyle S. Talbot
We establish the existence of a solution to a non-linearly coupled elliptic-parabolic system of PDEs describing the single-phase, miscible displacement of one incompressible fluid…