Global existence of solutions in \(H ^{4}\) for a nonlinear thermoviscoelastic equations with non-monotone pressure
From MaRDI portal
Publication:1013584
DOI10.1007/s10659-008-9182-0zbMath1159.74362OpenAlexW2012622154MaRDI QIDQ1013584
Zhiyong Ma, Lan Huang, Yu-ming Qin
Publication date: 20 April 2009
Published in: Journal of Elasticity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10659-008-9182-0
Thermal effects in solid mechanics (74F05) Long-time behavior of solutions for dynamical problems in solid mechanics (74H40) Nonlinear constitutive equations for materials with memory (74D10) Existence of solutions of dynamical problems in solid mechanics (74H20) Uniqueness of solutions of dynamical problems in solid mechanics (74H25)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Global existence and asymptotic behavior in nonlinear thermoviscoelasticity
- Universal attractor in \(H^4\) for the nonlinear one-dimensional compressible Navier-Stokes equations
- Asymptotic behavior of solutions to the system of one-dimensional nonlinear thermoviscoelasticity
- Exponential stability and universal attractors for the Navier-Stokes equations of compressible fluids between two horizontal parallel plates in \({\mathbb R}^3\)
- Global existence for a simplified model of nuclear fluid in one dimension
- Unique global solvability for initial-boundary value problems in one-dimensional nonlinear thermoviscoelasticity
- Global attractor for a nonlinear viscoelastic model
- Global attractor for a nonlinear thermoviscoelastic model with a non-convex free energy density
- Exponential stability in \(H^4\) for the Navier-Stokes equations of compressible and heat conductive fluid
- Asymptotic behaviour for a non-monotone fluid in one dimension: the positive temperature case
- Simplified models of quantum fluids in nuclear physics
- Global attractor for a nonlinear thermoviscoelastic system 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
- Global large solutions to initial-boundary value problems in one-dimensional nonlinear thermoviscoelasticity
- Global existence and asymptotic behaviour of the solution to the system in one-dimensional nonlinear thermoviscoelasticity
- 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
- Universal attractors for a nonlinear one-dimensional heat-conductive viscous real gas
- Exponential stability and maximal attractors for a one-dimensional nonlinear thermoviscoelasticity
- Universal attractors for the Navier-Stokes equations of compressible and heat-conductive fluid in bounded annular domains in \(\mathbb{R}^n\)