A state-space approach to a one-dimensional mathematical model for the dynamics of phase transitions in pseudoelastic materials

DOI10.1006/JMAA.1995.1065zbMath0829.35132OpenAlexW1971856197MaRDI QIDQ1892520

Ruben D. Spies

Publication date: 25 January 1996

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: http://purl.umn.edu/2265

zbMATH Keywords

Cauchy problemlocal existenceanalytical semigroupmodel of structural phase transitions in shape memory alloysthermodynamic potentials of the Landau-Ginzburg type

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Free boundary problems for PDEs (35R35)

Related Items (5)

Identifiability of the Landau-Ginzburg potential in a mathematical model of shape memory alloys ⋮ Parameter identification for nonlinear abstract Cauchy problems using quasilinearization ⋮ Diagonalization of non-selfadjoint analytic semigroups and application to the shape memory alloys operator ⋮ Fréchet differentiability of the solutions of a semilinear abstract Cauchy problem ⋮ Parameter differentiability of the solution of a nonlinear abstract Cauchy problem

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