Global existence in nonlinear hyperbolic thermoelasticity with radial symmetry

DOI10.1090/S0033-569X-2010-01190-1zbMath1417.74008MaRDI QIDQ2995454

Tilman Irmscher

Publication date: 21 April 2011

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: http://www.ams.org/journals/qam/2011-69-01/S0033-569X-2010-01190-1/home.html

zbMATH Keywords

exponential stabilityDirichlet boundary conditionslocal well-posedness

Mathematics Subject Classification ID

Thermal effects in solid mechanics (74F05) Long-time behavior of solutions for dynamical problems in solid mechanics (74H40) Existence of solutions of dynamical problems in solid mechanics (74H20) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (1)

Solving the linear 1D thermoelasticity equations with pure delay

Cites Work

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• Thermoelasticity with Second Sound: A Review
• On the existence of smooth solutions in one-dimensional nonlinear thermoelasticity with second sound
• Asymptotic behavior of solutions in linear 2- or 3-D thermoelasticity with second sound
• Exponential stability and global existence in thermoelasticity with radial symmetry
• Asymptotic stability and global existence in thermoelasticity with symmetry
• Thermoelasticity with second sound?exponential stability in linear and non-linear 1-d
• Sharp decay rates in parabolic and hyperbolic thermoelasticity

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