Asymptotic analysis of heat conducting elastic materials

DOI10.1016/j.nonrwa.2011.06.005zbMath1231.35260OpenAlexW2023172176MaRDI QIDQ660753

Rostislav Vodak

Publication date: 5 February 2012

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2011.06.005

zbMATH Keywords

existence of a solutionone dimensional asymptotic modelcurved rodsheat conducting elastic materialslow geometrical regularity

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Asymptotic behavior of solutions to PDEs (35B40) Thermodynamics in solid mechanics (74A15) Thermodynamics of continua (80A17) PDEs in connection with mechanics of deformable solids (35Q74)

Cites Work

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• Compact sets in the space \(L^ p(0,T;B)\)
• A general asymptotic dynamic model for Lipschitzian elastic curved rods
• Équations et inéquations non linéaires dans les espaces vectoriels en dualité
• A justification of the one‐dimensional linear model of elastic beam
• LINEAR CURVED ROD MODEL: GENERAL CURVE
• DERIVATION AND JUSTIFICATION OF A CURVED ROD MODEL
• Nonlinear partial differential equations with applications

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