Existence and uniqueness for a nonlinear parabolic/Hamilton–Jacobi coupled system describing the dynamics of dislocation densities

Author:

Ibrahim Hassan1

Affiliation:

1. Cermics, Ecole des Ponts, ParisTech, 6 et 8 avenue Blaise Pascal, Cité Descartes Champs-sur-Marne, 77455 Marne-la-Vallée Cedex 2, France

Publisher

European Mathematical Society - EMS - Publishing House GmbH

Subject

Mathematical Physics,Analysis,Applied Mathematics

Cited by 7 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Existence and Uniqueness of Continuous Solution for a Non-local Coupled System Modeling the Dynamics of Dislocation Densities;Journal of Nonlinear Science;2021-01-23

2. Formal derivation and existence result of an approximate model on dislocation densities;ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik;2018-02-05

3. Global BV solution for a non-local coupled system modeling the dynamics of dislocation densities;Journal of Differential Equations;2018-02

4. Existence of viscosity solution for a singular Hamilton–Jacobi equation;Arab Journal of Mathematical Sciences;2015-01

5. Time Asymptotically Almost Periodic Viscosity Solutions of Hamilton-Jacobi Equations;Communications in Computer and Information Science;2011

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