Dynamics of dislocation densities in a bounded channel. I: Smooth solutions to a singular coupled parabolic system

DOI10.3934/CPAA.2010.9.703zbMath1191.35150arXiv0903.0964OpenAlexW2963073133MaRDI QIDQ974369

Régis Monneau, Mustapha Jazar, Hassan Ibrahim

Publication date: 27 May 2010

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0903.0964

zbMATH Keywords

uniquenesscomparison principleparabolic systemsboundary value problemsglobal existenceone space dimension

Mathematics Subject Classification ID

Semilinear parabolic equations (35K58) Comparison principles in context of PDEs (35B51) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (3)

Formal derivation and existence result of an approximate model on dislocation densities ⋮ Global existence of solutions to a singular parabolic/Hamilton-Jacobi coupled system with Dirichlet conditions ⋮ Existence and uniqueness of continuous solution for a non-local coupled system modeling the dynamics of dislocation densities

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