Models of thermodiffusion in 1D

DOI10.1002/mma.2839zbMath1292.35084OpenAlexW2006485403MaRDI QIDQ5417256

Yan Liu, Michael Reissig

Publication date: 16 May 2014

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.2839

zbMATH Keywords

WKB analysispropagation of singularitiesdiffusion phenomenonhyperbolic-parabolic coupled system\(L^{p}-L^{q}\) decay estimatesthermodiffusion in 1D

Mathematics Subject Classification ID

Asymptotic expansions of solutions to PDEs (35C20) Partial differential equations of mathematical physics and other areas of application (35Q99) Coupling of solid mechanics with other effects (74F99) Initial value problems for mixed-type systems of PDEs (35M31) Initial value problems for systems of linear higher-order PDEs (35G40)

Related Items (4)

Exact controllability for a thermodiffusion system with locally distributed controls ⋮ Global existence and exponential stability of solutions for thermodiffusion equations of type III ⋮ Optimal large‐time estimates and singular limits for thermoelastic plate equations with the Fourier law ⋮ Global existence and uniform decay for the one-dimensional model of thermodiffusion with second sound

Cites Work

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• Anisotropic thermo-elasticity in 2D -- Part I: A unified approach
• Anisotropic thermo-elasticity in 2D -- Part II: Applications
• L^p-L^qtime decay estimates for the solution of the linear partial differential equations of thermodiffusion
• Cauchy problems for linear thermoelastic systems of type III in one space variable

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