Global solutions for quasi-linear hyperbolic-parabolic coupled systems of thermoviscoelasticity
DOI10.1016/J.JDE.2024.05.041zbMATH Open1547.3507MaRDI QIDQ6592811
Yoshihiro Shibata, Priyanjana M. N. Dharmawardane, Shuichi Kawashima
Publication date: 26 August 2024
Published in: Journal of Differential Equations (Search for Journal in Brave)
Asymptotic behavior of solutions to PDEs (35B40) Thermal effects in solid mechanics (74F05) Kinematics of deformation (74A05) Second-order quasilinear hyperbolic equations (35L72) Initial value problems for second-order hyperbolic systems (35L52) Initial value problems for systems of nonlinear higher-order PDEs (35G55)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Global existence and asymptotic decay of solutions to the nonlinear Timoshenko system with memory
- Global solutions to the equation of thermoelasticity with fading memory
- Global solutions to quasi-linear hyperbolic systems of viscoelasticity
- Global existence and asymptotic behavior of solutions for quasi-linear dissipative plate equation
- Decay property for second order hyperbolic systems of viscoelastic materials
- Global smooth solutions and asymptotic stability in one-dimensional nonlinear thermoelasticity
- Global existence and exponential stability of small solutions to nonlinear viscoelasticity
- Asymptotic behavior of the energy for a class of weakly dissipative second-order systems with memory
- Dissipative structure and global existence in critical space for Timoshenko system of memory type
- Nonlinear thermoelastic plate equations -- global existence and decay rates for the Cauchy problem
- On the existence and the asymptotic stability of solutions to the equations of linear thermoelasticity
- Global solutions and decay property with regularity-loss for quasi-linear hyperbolic systems with dissipation
- Decay estimates of solutions for quasi-linear hyperbolic systems of viscoelasticity
- DECAY PROPERTY OF REGULARITY-LOSS TYPE AND APPLICATION TO SOME NONLINEAR HYPERBOLIC–ELLIPTIC SYSTEM
- Development of singularities in solutions of the equations of nonlinear thermoelasticity
- Asymptotic behavior of smooth solutions for partially dissipative hyperbolic systems with a convex entropy
- Development of Singularities of Solutions of Nonlinear Hyperbolic Partial Differential Equations
This page was built for publication: Global solutions for quasi-linear hyperbolic-parabolic coupled systems of thermoviscoelasticity
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6592811)