Identifiability of the Landau-Ginzburg potential in a mathematical model of shape memory alloys
From MaRDI portal
Publication:1364844
DOI10.1006/jmaa.1997.5502zbMath0893.35128OpenAlexW2059033839MaRDI QIDQ1364844
Publication date: 28 August 1997
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jmaa.1997.5502
semigroupsphase transitionsaccretive operatorsLandau-Ginzburg potentialsequations of thermo-viscoelasto-plasticity
Stefan problems, phase changes, etc. (80A22) Inverse problems for PDEs (35R30) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)
Related Items
Parameter identification for nonlinear abstract Cauchy problems using quasilinearization ⋮ Fréchet differentiability of the solutions of a semilinear abstract Cauchy problem
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Representation and control of infinite dimensional systems. Volume I
- Global solutions to the equations of a Ginzburg-Landau theory for structural phase transitions in shape memory alloys
- Global existence for thermomechanical processes with nonconvex free energies of Ginzburg-Landau form
- Semigroups of linear operators and applications to partial differential equations
- Proof of extensions of two conjectures on structural damping for elastic systems
- Global solutions to a model of structural phase transitions in shape memory alloys
- Global solutions to thermomechanical equations with nonconvex Landau- Ginzberg free energy
- On the stabilizability problem in Banach space
- Estimation techniques for distributed parameter systems
- Convergent spectral approximations for the thermomechanical processes in shape memory alloys
- A state-space approach to a one-dimensional mathematical model for the dynamics of phase transitions in pseudoelastic materials
- A mathematical model for linear elastic systems with structural damping
- Uniqueness for structural phase transitions in shape memory alloys
- Existence of solutions for a mathematical model of structural phase transitions in shape memory alloys
- Global Smooth Solutions to the Initial-Boundary Value Problem for the Equations of One-Dimensional Nonlinear Thermoviscoelasticity
- Global smooth thermomechanical processes in one-dimensional nonlinear thermoviscoelasticity
- On the positive square root of the fourth derivative operator
- On the thermodynamics of materials with memory
