Add to ORKGAbstract. We study a dynamical version of a multi-phase field model of Koslowski and Ortiz for planar dislocation networks. We consider a two-dimensional vector field which describes phase transitions between constant phases. Each phase transition corresponds to a dislocation line, and the vectorial field description allows the formation of junctions between dislocations. This vector field is assumed to satisfy a non-local vectorial Hamilton-Jacobi equation with non-zero viscosity. For this model, we prove the existence for all time of a weak solution. Key words. Dislocation dynamics, non-local equations, junctions, parabolic system of equations
International audienceWe consider a situation where dislocations are parallel lines moving in a sing...
International audienceWe describe recent results obtained by G. Barles, P. Cardaliaguet, R. Monneau ...
This paper is concerned with a result of homogenization of a non-local first order Hamilton-Jacobi ...
Abstract. We study a dynamical version of a multi-phase field model of Koslowski and Ortiz for plana...
We study a mathematical model describing dislocation dynamics in crystals. This phase-field model is...
We study the problem of large time existence of solutions for a mathematical model describing disloc...
We study dislocation dynamics with a level set point of view. The model we present here looks at the...
ABSTRACT. We describe recent existence and uniqueness results ob-tained for nonlocal nonmonotone Eik...
International audienceWe study the existence and uniqueness of a nonlinear system of eikonal equatio...
This thesis is concerned with the theoretical study of a mathematical model arising from the study o...
In this paper we are interested in the collective motion of dislocations defects in crystals. Mathem...
International audienceIn this paper, we study the global in time existence problem for the Groma-Bal...
We study an initial boundary value problem of a model describing the evolution in time of diffusive ...
International audienceIn this paper, we study the global in time existence problem for the GROMA-BAL...
In this paper we are interested in the collective motion of dislocations defects in crystals. Mathem...
International audienceWe consider a situation where dislocations are parallel lines moving in a sing...
International audienceWe describe recent results obtained by G. Barles, P. Cardaliaguet, R. Monneau ...
This paper is concerned with a result of homogenization of a non-local first order Hamilton-Jacobi ...
Abstract. We study a dynamical version of a multi-phase field model of Koslowski and Ortiz for plana...
We study a mathematical model describing dislocation dynamics in crystals. This phase-field model is...
We study the problem of large time existence of solutions for a mathematical model describing disloc...
We study dislocation dynamics with a level set point of view. The model we present here looks at the...
ABSTRACT. We describe recent existence and uniqueness results ob-tained for nonlocal nonmonotone Eik...
International audienceWe study the existence and uniqueness of a nonlinear system of eikonal equatio...
This thesis is concerned with the theoretical study of a mathematical model arising from the study o...
In this paper we are interested in the collective motion of dislocations defects in crystals. Mathem...
International audienceIn this paper, we study the global in time existence problem for the Groma-Bal...
We study an initial boundary value problem of a model describing the evolution in time of diffusive ...
International audienceIn this paper, we study the global in time existence problem for the GROMA-BAL...
In this paper we are interested in the collective motion of dislocations defects in crystals. Mathem...
International audienceWe consider a situation where dislocations are parallel lines moving in a sing...
International audienceWe describe recent results obtained by G. Barles, P. Cardaliaguet, R. Monneau ...
This paper is concerned with a result of homogenization of a non-local first order Hamilton-Jacobi ...