Invariant imbedding and hyperbolic heat waves

DOI10.1063/1.531825zbMath0992.80003OpenAlexW2007825174MaRDI QIDQ4339585

Peter Olsson, David J. N. Wall

Publication date: 12 February 2002

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/425aab43b1a2c409aa0b3c45093502a5d0d91366

zbMATH Keywords

wave splittingdirect and inverse problemsCattaneo's lawimbedding theorythermal processes

Mathematics Subject Classification ID

Heat equation (35K05) Inverse problems in thermodynamics and heat transfer (80A23)

Related Items (7)

Extended framework of Hamilton's principle for thermoelastic continua ⋮ Split fields and direction of propagation for the solution to first-order systems of equations. ⋮ Modelling non-Fourier heat conduction with periodic thermal oscillation using the finite integral transform ⋮ Variational integrators for the dynamics of thermo-elastic solids with finite speed thermal waves ⋮ On inverse source problems for the one-way wave equation. ⋮ A wave splitting approach to thermoelastic pulses in anisotropic media. ⋮ Recent bibliography on extended irreversible thermodynamics and related topics (1995-1998)

Cites Work

• A Green's function approach to the determination of internal fields
• Factorization of the dissipative wave equation and inverse scattering
• The behavior of hyperbolic heat equations’ solutions near their parabolic limits
• Direct and inverse scattering in the time domain for a dissipative wave equation. III. Scattering operators in the presence of a phase velocity mismatch
• Propagation of transient electromagnetic waves in time-varying media-direct and inverse scattering problems
• Transient waves in nonstationary media
• Heat waves

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