On a coupled nonlinear singular thermoelastic system

DOI10.1016/j.na.2010.06.082zbMath1204.35074OpenAlexW2091099067MaRDI QIDQ708652

Fatiha Mesloub, Said Mesloub

Publication date: 14 October 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.06.082

zbMATH Keywords

weak solutioniterative methodstrong solutionnonlocal constraint

Mathematics Subject Classification ID

Thermodynamics in solid mechanics (74A15) Thermal effects in solid mechanics (74F05) Initial value problems for systems of nonlinear higher-order PDEs (35G55)

Related Items

Application of the double Laplace Adomian decomposition method for solving linear singular one dimensional thermo-elasticity coupled system ⋮ General stability of abstract thermoelastic system with infinite memory and delay ⋮ A note on double Laplace decomposition method for solving singular one dimensional pseudo thermo-elasticity coupled system ⋮ Nonlinear singular one dimensional thermo-elasticity coupled system and double Laplace decomposition methods

Cites Work

• On formation of singularities in one-dimensional nonlinear thermoelasticity
• A nonlinear nonlocal mixed problem for a second order pseudoparabolic equation
• The boundary value problems of mathematical physics. Transl. from the Russian by Jack Lohwater
• Global existence, uniqueness, and asymptotic stability of classical smooth solutions in one-dimensional nonlinear thermoelasticity
• Global smooth solutions and asymptotic stability in one-dimensional nonlinear thermoelasticity
• Propagation of singularities in one-dimensional thermoelasticity
• Solvability of nonlinear pseudoparabolic equation with a nonlocal boundary condition.
• On a class of singular hyperbolic equation with a weighted integral condition
• Nonlinear boundary stabilization of an inhomogeneous and anisotropic thermoelasticity system
• On a singular two dimensional nonlinear evolution equation with nonlocal conditions
• Blow-up in non-linear three-dimensional thermoelasticity
• Development of singularities in solutions of the equations of nonlinear thermoelasticity
• Existence and exponential decay in nonlinear thermoelasticity
• Smoothing Properties, Decay, and Global Existence of Solutions to Nonlinear Coupled Systems of Thermoelastic Type
• A nonexistence result to a Cauchy problem in nonlinear one-dimensional thermoelasticity
• Unnamed Item
• Unnamed Item
• Unnamed Item