Small-time solvability of a non-local Hamilton-Jacobi equation describing dislocation dynamics

DOI10.1016/j.crma.2004.03.007zbMath1049.35005OpenAlexW2070127280WikidataQ60158388 ScholiaQ60158388MaRDI QIDQ1876828

Régis Monneau, Olivier Alvarez, Philippe Hoch, Yann Le Bouar

Publication date: 20 August 2004

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2004.03.007

zbMATH Keywords

viscosity solutionslevel set approach

Mathematics Subject Classification ID

Initial value problems for nonlinear first-order PDEs (35F25) Crystals in solids (74N05)

Related Items

A convergent scheme for a nonlocal Hamilton Jacobi equation modelling dislocation dynamics, Convergence of a non-local eikonal equation to anisotropic mean curvature motion. Application to dislocations dynamics, Well-posedness and numerical analysis of a one-dimensional non-local transport equation modelling dislocations dynamics, Convergence of a first order scheme for a nonlocal eikonal equation, Dislocation dynamics: Short-time existence and uniqueness of the solution, Non-local Hamilton-Jacobi equations arising in dislocation dynamics, A convergent scheme for a non-local coupled system modelling dislocations densities dynamics, Fractional semi-linear parabolic equations with unbounded data

Cites Work

• Viscosity solutions of Hamilton-Jacobi equations
• A LEVEL SET APPROACH TO SEMICONTINUOUS VISCOSITY SOLUTIONS FOR CAUCHY PROBLEMS
• Front Propagation and Phase Field Theory
• Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations
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