Publications

Les publications des membres de l'UMA sont répertoriées dans la collection HAL de l'unité : Collection HAL de l'UMA

Sont listées ci-dessous, par année, les publications figurant dans l'archive ouverte HAL depuis 2025.

A survey on Polly Cracker Systems
- Levy-Dit-Vehel Françoise
- Marinari Maria-Grazia
- Perret Ludovic
- Traverso Carlo
Gröbner Bases, Coding, and Cryptography, 2009.
Existence of solutions for a model describing the dynamics of junctions between dislocations
- Forcadel Nicolas
- Monneau Régis
SIAM Journal on Mathematical Analysis, Society for Industrial and Applied Mathematics, 2009, 40 (6), pp.pp. 2517-2535. 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. (10.1137/070710925)
DOI : 10.1137/070710925