Time-homogenization of a first order system arising in the modelling of the dynamics of dislocation densities

DOI10.1016/j.crma.2009.01.006zbMath1175.35008OpenAlexW1985905144MaRDI QIDQ1009520

Ariela Briani, Régis Monneau

Publication date: 2 April 2009

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.2009.01.006

zbMATH Keywords

long time behaviourviscosity solutionsequations of Burgers' typetime periodic stress

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Initial value problems for linear first-order PDEs (35F10) Homogenization and oscillations in dynamical problems of solid mechanics (74Q10)

Related Items (2)

Pinning of interfaces in a random elastic medium and logarithmic lattice embeddings in percolation ⋮ Convergent semi-explicit scheme to a non-linear eikonal system

Cites Work

• Viscosity solutions for monotone systems of second–order elliptic PDES
• User’s guide to viscosity solutions of second order partial differential equations
• The perturbed test function method for viscosity solutions of nonlinear PDE
• A convergent scheme for a non-local coupled system modelling dislocations densities dynamics

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