Global large solutions to initial-boundary value problems in one-dimensional nonlinear thermoviscoelasticity

DOI10.1090/qam/1247437zbMath0809.35135OpenAlexW2489681987MaRDI QIDQ4286255

Song Jiang

Publication date: 29 March 1995

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/qam/1247437

zbMATH Keywords

Leray-Schauder fixed point theoremexistence of global smooth solutions

Mathematics Subject Classification ID

Related Items (14)

On the asymptotic behavior of the motion of a viscous, heat-conducting, one-dimensional real gas ⋮ Global attractor for thermoelasticity in shape memory alloys without viscosity ⋮ Global attractor for the Ginzburg-Landau thermoviscoelastic systems with hinged boundary conditions ⋮ Stabilization for equations of one-dimensional viscous compressible heat-conducting media with nonmonotone equation of state. ⋮ The existence of global generalized solutions of the equations of one-dimensional motion of a real viscous gas with discontinuous data ⋮ Global existence and asymptotic behavior for a viscous, heat-conductive, one-dimensinal real gas with fixed and thermally insulated endpoints ⋮ Global existence for a nuclear fluid in one dimension: the \(T>0\) case. ⋮ Global attractor for a nonlinear thermoviscoelastic model with a non-convex free energy density ⋮ Thermo-visco-elasticity at small strains with 𝐿¹-data ⋮ Global existence of solutions in \(H ^{4}\) for a nonlinear thermoviscoelastic equations with non-monotone pressure ⋮ Global regularity of solutions for a one-dimensional nuclear fluid with non-monotone pressure ⋮ Maximal attractor for the system of a Landau-Ginzburg theory for structural phase transitions in shape memory alloys ⋮ Global existence for a nonlinear system in thermoviscoelasticity with nonconvex energy ⋮ Exponential stability for a nonlinear one-dimensional heat-conductive viscous real gas

This page was built for publication: Global large solutions to initial-boundary value problems in one-dimensional nonlinear thermoviscoelasticity