Kyle S. Talbot

activity

20142017

C ([0, T]; L^{2} (Ω))

of weak solutions to perturbed doubly degenerate parabolic equations

20 citations · 20 across the 4 of their papers we have counts for

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3 papers · 1 filter

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.AP2015★ 20 cited

Convergence in $C ([0, T]; L^{2} (Ω))$ 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…

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…

Analysis of miscible displacement through porous media with vanishing molecular diffusion and singular wells

Convergence in C([0,T];L2(Ω)) of weak solutions to perturbed doubly degenerate parabolic equations

On a miscible displacement model in porous media flow with measure data

Convergence in $C ([0, T]; L^{2} (Ω))$ of weak solutions to perturbed doubly degenerate parabolic equations