Optimal decay rate and blow-up of solution for a classical thermoelastic system with viscoelastic damping and nonlinear sources

Asymptotic behavior of solutions to PDEs (35B40) Thermal effects in solid mechanics (74F05) Blow-up in context of PDEs (35B44) Initial-boundary value problems for systems of nonlinear higher-order PDEs (35G61)

Cites Work

Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
A new approach to equations with memory
Stabilization of a locally damped thermoelastic system
Dissipation rates and partition of energy in thermoelasticity
An inverse spectral theorem and its relation to the Pompeiu problem
Global smooth solutions and asymptotic stability in one-dimensional nonlinear thermoelasticity
Exponential energy decay in a linear thermoelastic rod
Saddle points and instability of nonlinear hyperbolic equations
The occurrence of collapse for quasilinear equations of parabolic and hyperbolic types
Asymptotic stability in linear thermoviscoelasticity
Thermoelasticity without energy dissipation
On the energy decay of a linear thermoelastic bar
Asymptotic behaviour in \(n\)-dimensional thermoelasticity
Existence and a general decay results for a viscoelastic plate equation with a logarithmic nonlinearity
Decay rates for the three-dimensional linear system of thermoelasticity
Blow-up of solutions to the Cauchy problem in nonlinear one-dimensional thermoelasticity
Optimal energy decay result for nonlinear abstract viscoelastic dissipative systems
Decay results for a viscoelastic problem with nonlinear boundary feedback and logarithmic source term
A general method for proving sharp energy decay rates for memory-dissipative evolution equations
Energy decay in thermoelasticity with viscoelastic damping of general type
Decay estimates for second order evolution equations with memory
Global solutions and finite time blow up for damped semilinear wave equations
On global solution of nonlinear hyperbolic equations
On the existence and the asymptotic stability of solutions to the equations of linear thermoelasticity
An abstract Volterra equation with applications to linear viscoelasticity
Asymptotic stability in viscoelasticity
On global existence, asymptotic stability and blowing up of solutions for some degenerate nonlinear wave equations of Kirchhoff type with a strong dissipation
On the asymptotic partition of energy in linear thermoelasticity
Exponential stability in linear thermoelasticity: the inhomogeneous case
On the Energy Decay of a Linear Thermoelastic Bar and Plate
Genericity of Simple Eigenvalues for Elliptic PDE's
Generic Properties of Eigenfunctions
REMARKS ON BLOW-UP AND NONEXISTENCE THEOREMS FOR NONLINEAR EVOLUTION EQUATIONS
Exponential stability of the semigroup associated with a thermoelastic system
Partial exact controllability and exponential stability in higher-dimensional linear thermoelasticity
Uniform stabilization of the higher-dimensional system of thermoelasticity with a nonlinear boundary feedback
Asymptotic stability and global existence in thermoelasticity with symmetry
Instability and Nonexistence of Global Solutions to Nonlinear Wave Equations of the Form Pu tt = -Au + ℱ(u)
On the control ofn-dimensional thermoelastic system
Decomposition of the Displacement Vector Field and Decay Rates in Linear Thermoelasticity
Note on intrinsic decay rates for abstract wave equations with memory
A nonexistence result to a Cauchy problem in nonlinear one-dimensional thermoelasticity
Existence and blow up time estimate for a nonlinear Cauchy problem with variable exponents: theory and numerics
Blow up of solutions of systems of nonlinear equations of thermoelasticity

This page was built for publication: Optimal decay rate and blow-up of solution for a classical thermoelastic system with viscoelastic damping and nonlinear sources

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6613000)