Wave propagation aspects of the generalized theory of heat conduction

DOI10.1007/BF01596220zbMath0249.35034MaRDI QIDQ2556642

Lewis T. Wheeler, John M. Finn

Publication date: 1972

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Heat equation (35K05)

Related Items

Unnamed Item, Null controllability for wave equations with memory, Heat equation with memory in anisotropic and non-homogeneous media, Uniqueness in boundary/initial value problems for a thermoviscoelastic solid of integral type, Domain of influence and uniqueness in viscothermoelasticity of integral type, On linear theory of heat conduction in materials with memory. Existence and uniqueness theorems for the final value problem, Wave propagation and uniqueness in one-dimensional simple materials, On uniqueness and wave propagation in nonlinear heat conductors with memory, Wave propagation and uniqueness theorems for elastic materials with integral state variables, Stability of uniform temperature fields in linear heat conductors with memory, Theorems of Zaremba type for thermoelastic solid, An inverse hyperbolic integrodifferential problem arising in geophysics II, An integrodifferential equation for rigid heat conductors with memory, Semilinear integrodifferential equations in Banach space, Abstract hyperbolic integrodifferential equations, Wave propagation for linear integrodifferential equations in Banach space

Cites Work

• On the linear theory of viscoelasticity
• A general theory of heat conduction with finite wave speeds
• On the growth and decay of one-dimensional temperature rate waves
• On the linear theory of heat conduction
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