372 citations · 1.4k across the 57 of their papers we have counts for
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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…
Convergence in of weak solutions to perturbed doubly degenerate parabolic equations
Jérôme Droniou, Robert Eymard, Kyle S. Talbot
We study the behaviour of solutions to a class of nonlinear degenerate parabolic problems when the data are perturbed. The class includes the Richards equation, Stefan problem and…
Limits of the Stokes and Navier-Stokes equations in a punctured periodic domain
Michel Chipot, Jerome Droniou, Gabriela Planas +2
In this paper we treat three problems on a two-dimensional `punctured periodic domain': we take , where is the disc of radius centred at…
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…