Global attractor for thermoelasticity in shape memory alloys without viscosity

DOI10.1002/mma.3815zbMath1342.35376OpenAlexW2203658612MaRDI QIDQ3188526

Tamara Fastovska

Publication date: 11 August 2016

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.3815

zbMATH Keywords

global attractorshape memory alloysnonlinear thermoelasticity

Mathematics Subject Classification ID

Attractors (35B41) Thermal effects in solid mechanics (74F05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (2)

Long-time dynamics of \(N\)-dimensional structure equations with thermal memory ⋮ Global attractor for coupled beam equations with nonhomogeneous boundaries conditions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Global existence and asymptotic behavior in nonlinear thermoviscoelasticity
• On formation of singularities in one-dimensional nonlinear thermoelasticity
• Global solutions to the equations of a Ginzburg-Landau theory for structural phase transitions in shape memory alloys
• Functional analysis, Sobolev spaces and partial differential equations
• Infinite-dimensional dynamical systems in mechanics and physics
• Maximal attractor for the system of a Landau-Ginzburg theory for structural phase transitions in shape memory alloys
• Global attractors for von Kármán equations with nonlinear interior dissipation
• Global attractor for the Ginzburg-Landau thermoviscoelastic systems with hinged boundary conditions
• Global attractor for a nonlinear thermoviscoelastic system in shape memory alloys
• Existence of solutions to some non-linear thermoelastic systems with viscosity
• Global large solutions to initial-boundary value problems in one-dimensional nonlinear thermoviscoelasticity
• Asymptotic Behavior of the Solutions to a Landau--Ginzburg System with Viscosity for Martensitic Phase Transitions in Shape Memory Alloys
• Large-time behavior of solutions to the equations of one-dimensional nonlinear thermoviscoelasticity
• Global existence and asymptotic behavior of weak solutions to nonlinear thermoviscoelastic systems with clamped boundary conditions
• Exponential stability in one-dimensional non-linear thermoelasticity with second sound

This page was built for publication: Global attractor for thermoelasticity in shape memory alloys without viscosity