Add to ORKGWe study a coupled system of two parabolic equations in one space dimension. This system is singular because of the presence of one term with the inverse of the gradient of the solution. Our system describes an approximate model of the dynamics of dislocation densities in a bounded channel submitted to an exterior applied stress. The system of equations is written on a bounded interval and requires a special attention to the boundary layer. The proof of existence and uniqueness is done under the use of two main tools: a certain comparison principle on the gradient of the solution, and a Kozono-Taniuchi parabolic type inequality
The formation and stability of dislocation patterns are interpreted on the basis of instabilities oc...
AbstractA boundary initial value problem for a quasi-linear hyperbolic system in one space variable ...
We study the problem of large time existence of solutions for a mathematical model describing disloc...
We study a coupled system of two parabolic equations in one space dimension. This system is singular...
In this article, we consider a coupled singular parabolic system, describing the dynamics of disloc...
This thesis is concerned with the theoretical study of a mathematical model arising from the study o...
International audienceWe study a coupled system of two parabolic equations in one space dimension. T...
We study a strongly coupled system of a parabolic equation and a singular Hamilton-Jacobi equation i...
summary:Inspired by a problem in steel metallurgy, we prove the existence, regularity, uniqueness, a...
In this paper we study the development of boundary layers in parabolic approximate solutions of the ...
We consider a singular parabolic equation, for , arising in symmetric boundary layer flows. Here is ...
In this thesis, we are mainly interested in the theoretical and numerical study of certain equations...
We consider a moving front solution of a singularly perturbed FitzHugh–Nagumo type system of equatio...
This thesis deals with the singular limit of systems of parabolic partial differential equations, wi...
In this work we address a problem governed by linear parabolic partial differential equations set in...
The formation and stability of dislocation patterns are interpreted on the basis of instabilities oc...
AbstractA boundary initial value problem for a quasi-linear hyperbolic system in one space variable ...
We study the problem of large time existence of solutions for a mathematical model describing disloc...
We study a coupled system of two parabolic equations in one space dimension. This system is singular...
In this article, we consider a coupled singular parabolic system, describing the dynamics of disloc...
This thesis is concerned with the theoretical study of a mathematical model arising from the study o...
International audienceWe study a coupled system of two parabolic equations in one space dimension. T...
We study a strongly coupled system of a parabolic equation and a singular Hamilton-Jacobi equation i...
summary:Inspired by a problem in steel metallurgy, we prove the existence, regularity, uniqueness, a...
In this paper we study the development of boundary layers in parabolic approximate solutions of the ...
We consider a singular parabolic equation, for , arising in symmetric boundary layer flows. Here is ...
In this thesis, we are mainly interested in the theoretical and numerical study of certain equations...
We consider a moving front solution of a singularly perturbed FitzHugh–Nagumo type system of equatio...
This thesis deals with the singular limit of systems of parabolic partial differential equations, wi...
In this work we address a problem governed by linear parabolic partial differential equations set in...
The formation and stability of dislocation patterns are interpreted on the basis of instabilities oc...
AbstractA boundary initial value problem for a quasi-linear hyperbolic system in one space variable ...
We study the problem of large time existence of solutions for a mathematical model describing disloc...