Von Karman thermoelastic plates: existence and nonexistence of global solutions

DOI10.3934/eect.2022055zbMath1517.35071OpenAlexW4312779158MaRDI QIDQ6162506

No author found.

Publication date: 15 June 2023

Published in: Evolution Equations and Control Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/eect.2022055

zbMATH Keywords

exponential stabilitypotential well methodparabolic-hyperbolic systemthermoelastic platesbounds for lifespanexistence/non-existence

Mathematics Subject Classification ID

Plates (74K20) 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

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Uniform analyticity and exponential decay of the semigroup associated with a thermoelastic plate equation with perturbed boundary conditions
• Maximal regularity and global existence of solutions to a quasilinear thermoelastic plate system
• Lower bound for the lifespan of solutions for a class of fourth order wave equations
• On global solution of an initial boundary value problem for a class of damped nonlinear equations
• Dynamics around the ground state of a nonlinear evolution equation
• Attractors and long-time behavior of von Kármán thermoelastic plates
• Existence and exponential decay of solutions to a quasilinear thermoelastic plate system
• \(L_p\) theory for the linear thermoelastic plate equations in bounded and exterior domains
• Compact sets in the space \(L^ p(0,T;B)\)
• A justification of the von Kármán equations
• Saddle points and instability of nonlinear hyperbolic equations
• Lower and upper bounds for the blow-up time of a class of damped fourth-order nonlinear evolution equations
• On exponential stability for thermoelastic plates: comparison and singular limits
• Bounds for the lifespan of solutions to fourth-order hyperbolic equations with initial data at arbitrary energy level
• A Gevrey class semigroup for a thermoelastic plate model with a fractional Laplacian: between the Euler-Bernoulli and Kirchhoff models
• Long-time behavior of quasilinear thermoelastic Kirchhoff-Love plates with second sound
• Lower bounds for blow-up time of two nonlinear wave equations
• A lower bound for the blow-up time to a damped semilinear wave equation
• Global existence and exponential stability for a nonlinear thermoelastic Kirchhoff-Love plate
• Nonlinear thermoelastic plate equations -- global existence and decay rates for the Cauchy problem
• A class of fourth order wave equations with dissipative and nonlinear strain terms
• On global solution of nonlinear hyperbolic equations
• Von Karman Evolution Equations

This page was built for publication: Von Karman thermoelastic plates: existence and nonexistence of global solutions