A nonexistence result to a Cauchy problem in nonlinear one-dimensional thermoelasticity

DOI10.1006/jmaa.2000.7203zbMath0972.35010OpenAlexW2030780106MaRDI QIDQ5927715

Nasser-eddine Tatar, Mukhtar Bin Muhammad Kirane

Publication date: 30 October 2001

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.2000.7203

zbMATH Keywords

energy estimatesblow-upconcavity methodnonautonomous forcing termsemilinear 1-d thermoelasticitysmooth solutions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Thermal effects in solid mechanics (74F05) Mixture effects in solid mechanics (74F20)

Related Items

Recovery of a space-dependent vector source in thermoelastic systems ⋮ Nonexistence results for the Cauchy problem for some fractional nonlinear systems of thermo‐elasticity type ⋮ Large-time asymptotic behavior for the classical thermoelastic system ⋮ On a thermo-viscoelastic system with variable exponent sources ⋮ On a coupled nonlinear singular thermoelastic system ⋮ Nonexistence results for the Cauchy problem of time fractional nonlinear systems of thermo‐elasticity ⋮ Blow-up of solutions to the Cauchy problem in nonlinear one-dimensional thermoelasticity ⋮ General boundary stabilization of memory-type thermoelasticity ⋮ LOCAL EXISTENCE AND BLOW UP IN NONLINEAR THERMOELASTICITY WITH SECOND SOUND

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