Add to ORKGOur aim is to study the limit of the solution of reaction-diffusion porous medium equation with linear drift ∂ t u−∆u m +∇•(uV) = g(t, x, u), as m → ∞. We study the problem in bounded domain Ω with Dirichlet boundary condition, compatible initial data ; i.e. |u 0 | ≤ 1, and an outpointing vector field V on the boundary ∂Ω. In particular, by means of new BV loc estimates, we show uniform L 1 −convergence towards the solution of reaction-diffusion Hele-Shaw flow with linear drift
In this thesis we consider a linear partial differential equation that models contaminant transport ...
The extinction phenomenon of solutions for the homogeneous Dirichlet boundary value problem of the p...
Given a bounded domain D ⊂ R N and m > 1, we study the long-time behaviour of solutions to the Porou...
Our aim is to study the limit of the solution of reaction-diffusion porous medium equation with line...
We study the relationships between several families of parabolic partial differential equations as w...
International audienceIn this work, we study the convection and diffusion of a solute in a porous me...
AbstractAn initial boundary value problem is considered for a nonlinear diffusion equation, the diff...
We obtain new equitightness and $C([0,T];L^p(\mathbb{R}^N))$-convergence results for finite-differen...
We study a singular-limit problem arising in the modelling of chemical reactions. At finite ε > 0, t...
We study a singular-limit problem arising in the modelling of chemical reactions. At finite e > 0...
We consider the gradient flow structure of the porous medium equations with nonnegative constant bou...
International audienceIn this study, we analyze the behavior of monotone traveling waves of a one-di...
The main goal of this paper is to prove L 1-comparison and contraction principles for weak solutions...
International audienceModels issued from ecology, chemical reactions and several other application f...
AbstractThe main goal of this paper is to study the asymptotic behaviour of nonnegative solutions of...
In this thesis we consider a linear partial differential equation that models contaminant transport ...
The extinction phenomenon of solutions for the homogeneous Dirichlet boundary value problem of the p...
Given a bounded domain D ⊂ R N and m > 1, we study the long-time behaviour of solutions to the Porou...
Our aim is to study the limit of the solution of reaction-diffusion porous medium equation with line...
We study the relationships between several families of parabolic partial differential equations as w...
International audienceIn this work, we study the convection and diffusion of a solute in a porous me...
AbstractAn initial boundary value problem is considered for a nonlinear diffusion equation, the diff...
We obtain new equitightness and $C([0,T];L^p(\mathbb{R}^N))$-convergence results for finite-differen...
We study a singular-limit problem arising in the modelling of chemical reactions. At finite ε > 0, t...
We study a singular-limit problem arising in the modelling of chemical reactions. At finite e > 0...
We consider the gradient flow structure of the porous medium equations with nonnegative constant bou...
International audienceIn this study, we analyze the behavior of monotone traveling waves of a one-di...
The main goal of this paper is to prove L 1-comparison and contraction principles for weak solutions...
International audienceModels issued from ecology, chemical reactions and several other application f...
AbstractThe main goal of this paper is to study the asymptotic behaviour of nonnegative solutions of...
In this thesis we consider a linear partial differential equation that models contaminant transport ...
The extinction phenomenon of solutions for the homogeneous Dirichlet boundary value problem of the p...
Given a bounded domain D ⊂ R N and m > 1, we study the long-time behaviour of solutions to the Porou...