On a one-dimensional shape-memory alloy model in its fast-temperature-activation limit

DOI10.3934/dcdss.2012.5.15zbMath1243.74017OpenAlexW3020996827MaRDI QIDQ428428

Toyohiko Aiki, Adrian Muntean, M. J. H. Anthonissen

Publication date: 22 June 2012

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

Full work available at URL: https://doi.org/10.3934/dcdss.2012.5.15

zbMATH Keywords

modelingnonlinear elliptic equationshape-memory alloysexistence and uniqueness of weak solutions

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Finite difference methods for boundary value problems involving PDEs (65N06) Weak solutions to PDEs (35D30) PDEs in connection with mechanics of deformable solids (35Q74) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74D99) Nonlinear boundary value problems for nonlinear elliptic equations (35J66)

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