Nonsimple material problems addressed by the Lagrange's identity

DOI10.1186/1687-2770-2013-135zbMath1348.74019OpenAlexW2102535892WikidataQ59304868 ScholiaQ59304868MaRDI QIDQ2251095

Ravi P. Agarwal, Marin I. Marin, Samy R. Mahmoud

Publication date: 11 July 2014

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2013-135

zbMATH Keywords

uniquenesscontinuous dependencenonsimple materialsLagrange identity

Mathematics Subject Classification ID

Thermal effects in solid mechanics (74F05) A priori estimates in context of PDEs (35B45) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Nonsimple materials (74A30) Existence of solutions of dynamical problems in solid mechanics (74H20) PDEs in connection with mechanics of deformable solids (35Q74)

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Cites Work

• Thermal stresses in microstretch elastic plates
• A partition of energy in thermoelasticity of microstretch bodies
• On the decay of solutions in nonsimple elastic solids with memory
• Lagrange identity method for microstretch thermoelastic materials
• Thermoelasticity
• An equipartition of energy theorem for weak solutions of evolutionary equations in Hilbert space: The Lagrange identity method
• On uniqueness and continuous dependence in dynamical problems of linear thermoelasticity
• Continuous Dependence and Instability in Linear Thermoelasticity

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