Global solutions for quasi-linear hyperbolic-parabolic coupled systems of thermoviscoelasticity

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

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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

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