Existence of solutions to some non-linear thermoelastic systems with viscosity

DOI10.1002/mma.1670150305zbMath0745.35022OpenAlexW2013513964MaRDI QIDQ3989631

Antoni Żochowski, Karl-Heinz Hoffmann

Publication date: 28 June 1992

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

Full work available at URL: https://doi.org/10.1002/mma.1670150305

zbMATH Keywords

uniquenessNeumann boundary conditionsDirichlet boundary conditionvibrations of thin rodfixed-point techniquesLeray- Schauder typeshape memory alloy core

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Thermodynamics in solid mechanics (74A15) Second-order nonlinear hyperbolic equations (35L70) Free boundary problems for PDEs (35R35) Dynamical problems in solid mechanics (74Hxx)

Related Items (9)

On the effect of dissipation in shape-memory alloys ⋮ Visco‐elasto‐plastic model for martensitic phase transformation in shape‐memory alloys ⋮ Global attractor for thermoelasticity in shape memory alloys without viscosity ⋮ Global attractor for the Ginzburg-Landau thermoviscoelastic systems with hinged boundary conditions ⋮ Unnamed Item ⋮ On certain mathematical models in continuum thermomechanics ⋮ Thermodynamics of shape-memory alloys under electric current ⋮ Thermo-visco-elasticity at small strains with 𝐿¹-data ⋮ Maximal attractor for the system of a Landau-Ginzburg theory for structural phase transitions in shape memory alloys

Cites Work

• Systems of nonlinear wave equations with nonlinear viscosity

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