A nonlocal and fully nonlinear degenerate parabolic system from strain-gradient plasticity

DOI10.3934/DCDSB.2011.15.15zbMath1225.35130OpenAlexW2087101939MaRDI QIDQ628779

Giuseppe Tomassetti, Roberta Dal Passo, Lorenzo Giacomelli, Michiel Bertsch

Publication date: 7 March 2011

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2011.15.15

zbMATH Keywords

existenceanti-plane shearuniquenesselliptic-parabolic systemstrain-gradient plasticitygradient flow structuretwo types of degeneracies

Mathematics Subject Classification ID

Small-strain, rate-dependent theories of plasticity (including theories of viscoplasticity) (74C10) Nonlinear parabolic equations (35K55) Degenerate parabolic equations (35K65) Initial-boundary value problems for second-order parabolic systems (35K51)

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