Phragmén-Lindelöf and continuous dependence type results in generalized heat conduction

DOI10.1007/BF00914869zbMath0864.35051MaRDI QIDQ2564706

J. C. Song, Lawrence E. Payne

Publication date: 15 June 1997

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

zbMATH Keywords

Dirichlet type boundary conditions

Mathematics Subject Classification ID

Related Items (13)

Phragmen–Lindelof alternative in nonlinear viscoelasticity ⋮ Temporal decay bounds in generalized heat conduction ⋮ Continuous dependence on initial-time and spatial geometry in generalized heat conduction ⋮ Phragmén-Lindelöf and continuous dependence type results in a Stokes flow ⋮ Phragmén–Lindelöf alternative and continuous dependence-type results for the thermoelasticity of type III ⋮ Unnamed Item ⋮ On the theory of heat conduction in micromorphic continua ⋮ Convergence results for generalized heat condution as the relaxation time tends to zero ⋮ Continuous dependence on spatial geometry for the generalized Maxwell-Cattaneo system ⋮ Stability and Newton's law of cooling in double diffusive flow ⋮ Recent bibliography on extended irreversible thermodynamics and related topics (1995-1998) ⋮ Uniqueness in exterior domains for the generalized heat conduction ⋮ Phragmén-Lindelöf alternative results and structural stability for Brinkman fluid in porous media in a semi-infinite cylinder

Cites Work

• Unnamed Item
• Spatial decay theorems for nonlinear parabolic equations in semi-infinite cylinders
• Asymptotic behaviour of solutions to semi-linear elliptic equations on the half-cylinder
• Continuous dependence on the relaxation time and modelling, and unbounded growth, in theories of heat conduction with finite propagation speeds
• A Phragmen-Lindelöf alternative for a class of quasilinear second order parabolic problems
• On the exponential temporal decay of solutions and their derivatives for quasilinear parabolic equations
• Decay, growth, continuous dependence and uniqueness results in generalized heat conduction theories
• Recent Developments Concerning Saint-Venant's Principle
• Decay Estimates for a Class of Nonlinear Boundary Value Problems in Two Dimensions
• Spatial Decay Estimates in Time-Dependent Stokes Flow
• The Influence of Domain and Diffusivity Perturbations on the Decay of End Effects in Heat Conduction

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