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Journal Articles Differential and integral equations Year : 2008

Dislocations dynamics with a mean curvature term: short time existence and uniqueness

Nicolas Forcadel

Abstract

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.
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Dates and versions

hal-00976662 , version 1 (10-04-2014)

Identifiers

  • HAL Id : hal-00976662 , version 1

Cite

Nicolas Forcadel. Dislocations dynamics with a mean curvature term: short time existence and uniqueness. Differential and integral equations, 2008, 21 (3-4), pp.285-304. ⟨hal-00976662⟩

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