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Applicable Analysis
An International Journal
Volume 38, 1990 - Issue 4
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Original Articles

Decay, growth, continuous dependence and uniqueness results in generalized heat conduction theories

A. Morro DIBE, University of Genova, Genova, 16145, Italy
,
L. E. Payne Department of Mathematics, Cornell University, Ithaca, New York, 14853, USA
&
B. Straughan Department of Mathematics, The University, Glasgow, G12 8QW, Scotland
Pages 231-243 | Published online: 02 May 2007

Citations (30)

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José R. Fernández, Marta Pellicer & Ramón Quintanilla. (2023) Continuous dependence and convergence for a Moore-Gibson-Thompson thermoelastic problem. Mechanics Based Design of Structures and Machines 0:0, pages 1-17.
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Alain Miranville & Ramon Quintanilla. (2009) Some generalizations of the Caginalp phase-field system. Applicable Analysis 88:6, pages 877-894.
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Articles from other publishers (28)

Marta Pellicer & Ramon Quintanilla. (2023) Continuous dependence and convergence for Moore–Gibson–Thompson heat equation. Acta Mechanica 234:8, pages 3241-3257.
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Ramón Quintanilla. (2019) Some remarks on the fast spatial growth/decay in exterior regions. Zeitschrift für angewandte Mathematik und Physik 70:3.
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Ramón Quintanilla & Zhuangyi Liu. (2017) Time decay in dual-phase-lag thermoelasticity: Critical case. Communications on Pure and Applied Analysis 17:1, pages 177-190.
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Monica De Angelis & Pasquale Renno. (2014) On Asymptotic Effects of Boundary Perturbations in Exponentially Shaped Josephson Junctions. Acta Applicandae Mathematicae 132:1, pages 251-259.
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M. De Angelis. (2013) A priori estimates for excitable models. Meccanica 48:10, pages 2491-2496.
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Monica De Angelis & Gaetano Fiore. (2013) Existence and uniqueness of solutions of a class of third order dissipative problems with various boundary conditions describing the Josephson effect. Journal of Mathematical Analysis and Applications 404:2, pages 477-490.
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Armando D?Anna & Gaetano Fiore. (2013) Existence, uniqueness and stability for a class of third-order dissipative problems depending on time. Nonlinear Analysis: Theory, Methods & Applications 78, pages 104-120.
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A. D?Anna, M. De Angelis & G. Fiore. (2012) Existence and Uniqueness for Some 3rd Order Dissipative Problems with Various Boundary Conditions. Acta Applicandae Mathematicae 122:1, pages 255-267.
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Monica De Angelis. (2012) On Exponentially Shaped Josephson Junctions. Acta Applicandae Mathematicae 122:1, pages 179-189.
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Angelo Morro. (2010) Evolution Equations for Non-Simple Viscoelastic Solids. Journal of Elasticity 105:1-2, pages 93-105.
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A. Morro. (2010) Evolution equations and thermodynamic restrictions for dissipative solids. Mathematical and Computer Modelling 52:9-10, pages 1869-1876.
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Angelo Morro. 2012. Methods and Tastes in Modern Continuum Mechanics. Methods and Tastes in Modern Continuum Mechanics 513 525 .
Monica De Angelis & Pasquale Renno. (2008) Existence, uniqueness and a priori estimates for a nonlinear integro-differential equation. Ricerche di Matematica 57:1, pages 95-109.
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L.E. Payne, P.W. Schaefer & J.C. Song. (2004) Improved bounds for some nonstandard problems in generalized heat conduction. Journal of Mathematical Analysis and Applications 298:1, pages 325-340.
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L.E. Payne & J.C. Song. (2004) Temporal decay bounds in generalized heat conduction. Journal of Mathematical Analysis and Applications 294:1, pages 82-95.
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B. D'Acunto & M. De Angelis. (2003) Evolution of the interface for an extended melting model. Computers & Mathematics with Applications 46:5-6, pages 971-976.
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D. Ie?an. (2002) On the theory of heat conduction in micromorphic continua. International Journal of Engineering Science 40:16, pages 1859-1878.
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R. Quintanilla. (2002) Uniqueness in exterior domains for the generalized heat conduction. Applied Mathematics Letters 15:4, pages 473-479.
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R. Quintanilla. (2002) On the linear problem of swelling porous elastic soils. Journal of Mathematical Analysis and Applications 269:1, pages 50-72.
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B. D'Acunto & M. De Angelis. (2002) A phase-change problem for an extended heat conduction model. Mathematical and Computer Modelling 35:7-8, pages 709-717.
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Monica De Angelis & Pasquale Renno. (2002) Diffusion and wave behaviour in linear Voigt model. Comptes Rendus M?canique 330:1, pages 21-26.
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Changhao Lin & L. E. Payne. (2001) Continuous dependence on spatial geometry for the generalized Maxwell–Cattaneo system. Mathematical Methods in the Applied Sciences 24:14, pages 1113-1124.
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L.E Payne & J.C Song. (2001) Convergence Results for Generalized Heat Conduction as the Relaxation Time Tends to Zero. Journal of Mathematical Analysis and Applications 256:1, pages 175-189.
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M. De Angelis. (2001) Asymptotic analysis for the strip problem related to a parabolic third-order operator. Applied Mathematics Letters 14:4, pages 425-430.
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L.E. Payne & J.C. Song. (1997) Continuous Dependence on Initial-Time and Spatial Geometry in Generalized Heat Conduction. Journal of Mathematical Analysis and Applications 214:1, pages 173-190.
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. 1997. Non-Standard and Improperly Posed Problems. Non-Standard and Improperly Posed Problems 284 300 .
Karen A. Ames. 1997. Non-Standard and Improperly Posed Problems. Non-Standard and Improperly Posed Problems 103 182 .
L. E. Payne & J. C. Song. (1996) Phragm�n-Lindel�f and continuous dependence type results in generalized heat conduction. ZAMP Zeitschrift f�r angewandte Mathematik und Physik 47:4, pages 527-538.
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