Formation of singularities in one-dimensional thermoelasticity with second sound

DOI10.1090/S0033-569X-2014-01336-2zbMath1295.35311OpenAlexW1967063497MaRDI QIDQ5420093

Yuxi Hu, Reinhard Racke

Publication date: 11 June 2014

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

Full work available at URL: https://doi.org/10.1090/s0033-569x-2014-01336-2

zbMATH Keywords

Euler coordinates

Mathematics Subject Classification ID

Thermal effects in solid mechanics (74F05) First-order nonlinear hyperbolic equations (35L60) Analyticity in context of PDEs (35A20) Initial value problems for first-order hyperbolic systems (35L45) Blow-up in context of PDEs (35B44)

Related Items (10)

Frequency-localization Duhamel principle and its application to the optimal decay of dissipative systems in low dimensions ⋮ Formation of singularities for one-dimensional relaxed compressible Navier-Stokes equations ⋮ Global existence and uniqueness of solutions to the initial boundary value problem of 3D Navier-Stokes equations with Cattaneo law ⋮ Global Existence Versus Blow-Up for Multidimensional Hyperbolized Compressible Navier–Stokes Equations ⋮ Space-time behavior of the compressible Navier-Stokes equations with hyperbolic heat conduction ⋮ Decay of the compressible Navier-Stokes equations with hyperbolic heat conduction ⋮ Decay of the Compressible Navier-Stokes Equations with Hyperbolic Heat Conduction ⋮ Global existence and asymptotic behavior for one-dimensional thermoelasticity of integral type with hyperbolic heat conduction ⋮ Low Mach number limit for the full compressible Navier-Stokes equations with Cattaneo's heat transfer law ⋮ On global solutions in one-dimensional thermoelasticity with second sound in the half line

Cites Work

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• On smooth solutions of the Cauchy problem in one-dimensional nonlinear thermoelasticity
• NONLINEAR WELL-POSEDNESS AND RATES OF DECAY IN THERMOELASTICITY WITH SECOND SOUND
• Development of singularities in solutions of the equations of nonlinear thermoelasticity
• On the existence of smooth solutions in one-dimensional nonlinear thermoelasticity with second sound
• Thermoelasticity

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