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A vector Hamilton–Jacobi formulation for the numerical simulation of Euler flows

Philippe Hoch and Olivier Pironneau
Comptes Rendus Mathematique 342 (2) 151 (2006)
DOI: 10.1016/j.crma.2005.11.007
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Dislocation Dynamics: Short-time Existence and Uniqueness of the Solution

Olivier Alvarez, Philippe Hoch, Yann Le Bouar and Régis Monneau
Archive for Rational Mechanics and Analysis 181 (3) 449 (2006)
DOI: 10.1007/s00205-006-0418-5
See this article