Some new exact solutions for linear thermoelastic system

DOI10.1016/S0096-3003(02)00811-1zbMath1032.74021OpenAlexW2078467390MaRDI QIDQ1412642

Marwa I. Ghonamy, Reda G. Abd El-Rahman, M. E. Khalifa

Publication date: 25 November 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(02)00811-1

zbMATH Keywords

ordinary differential equationsone-parameter groupLie group transformationsSimilarity reduction

Mathematics Subject Classification ID

Thermal effects in solid mechanics (74F05) Explicit solutions of equilibrium problems in solid mechanics (74G05)

Related Items (1)

On the traveling wave solutions for a parabolic-hyperbolic system in linear thermoelasticity

Cites Work

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• On the symmetries and similarity solutions of one-dimensional, non-linear thermoelasticity
• Global existence, uniqueness, and asymptotic stability of classical smooth solutions in one-dimensional nonlinear thermoelasticity
• Similarity methods for differential equations
• On the energy decay of a linear thermoelastic bar
• Decay rates for the three-dimensional linear system of thermoelasticity

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