Dislocations dynamics with a mean curvature term: short time existence and uniqueness
2008
Type de publication :
Article (revues avec comité de lecture)
Journal :
Differential and Integral Equations, vol. 21(3-4), pp. 285-304
Lien externe :
HAL :
Résumé :
In this paper, we study a new model for dislocation dynamics with a mean curvature term. The model is a non-local Hamilton-Jacobi equation. We prove a short time existence and uniqueness result for this equation. We also prove a Lipschitz estimate in space and an estimate of the modulus of continuity in time for the solution.
BibTeX :
@article{For-2008,
author={Nicolas Forcadel },
title={Dislocations dynamics with a mean curvature term: short time
existence and uniqueness },
journal={Differential and Integral Equations },
year={2008 },
volume={21(3-4) },
pages={285--304},
}