On the existence and nonexistence of solutions of a nonlinear hyperbolic system describing heat propagation by second sound

DOI10.1080/00036819908840792zbMath1034.35068OpenAlexW2063043923MaRDI QIDQ4487829

Messaoudi A. Salim

Publication date: 25 June 2000

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036819908840792

zbMATH Keywords

heat fluxblow upCattaneo's lawglobal existence theorem

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Thermal effects in solid mechanics (74F05) Initial value problems for first-order hyperbolic systems (35L45)

Cites Work

• On formation of singularities in one-dimensional nonlinear thermoelasticity
• Stability of equilibrium for a nonlinear hyperbolic system describing heat propagation by second sound in solids
• The Cauchy problem for quasi-linear symmetric hyperbolic systems
• Formation of singularities in heat propagation guided by second sound

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