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  1. Zeitschrift für angewandte Mathematik und Physik
  2. Zeitschrift für angewandte Mathematik und Physik : Volume 65
  3. Zeitschrift für angewandte Mathematik und Physik : Volume 65, Issue 1, February 2014
  4. On the spatial behavior in Type III thermoelastodynamics
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Zeitschrift für angewandte Mathematik und Physik : Volume 67
Zeitschrift für angewandte Mathematik und Physik : Volume 66
Zeitschrift für angewandte Mathematik und Physik : Volume 65
Zeitschrift für angewandte Mathematik und Physik : Volume 65, Issue 6, December 2014
Zeitschrift für angewandte Mathematik und Physik : Volume 65, Issue 5, October 2014
Zeitschrift für angewandte Mathematik und Physik : Volume 65, Issue 4, August 2014
Zeitschrift für angewandte Mathematik und Physik : Volume 65, Issue 3, June 2014
Zeitschrift für angewandte Mathematik und Physik : Volume 65, Issue 2, April 2014
Zeitschrift für angewandte Mathematik und Physik : Volume 65, Issue 1, February 2014
Positive solutions of a diffusive Leslie–Gower predator–prey model with Bazykin functional response
On existence and concentration of solutions for an elliptic problem with discontinuous nonlinearity via penalization method
Existence of semiclassical states for a coupled Schrödinger system with potentials and nonlocal nonlinearities
Lazer–Leach type conditions on periodic solutions of semilinear resonant Duffing equations with singularities
On a system of nonlinear wave equations with Balakrishnan–Taylor damping
Bounds for the blowup time of the solutions to quasi-linear parabolic problems
General decay of solutions for a weak viscoelastic equation with acoustic boundary conditions
Finite time blow-up for a reaction-diffusion system in bounded domain
On slow flows of the full nonlinear Doi–Edwards polymer model
State-space approach for an infinite medium with a spherical cavity based upon two-temperature generalized thermoelasticity theory and fractional heat conduction
On the spatial behavior in Type III thermoelastodynamics
Scattering versus blow-up for the focusing L 2 supercritical Hartree equation
Zeitschrift für angewandte Mathematik und Physik : Volume 64
Zeitschrift für angewandte Mathematik und Physik : Volume 63
Zeitschrift für angewandte Mathematik und Physik : Volume 62
Zeitschrift für angewandte Mathematik und Physik : Volume 61
Zeitschrift für angewandte Mathematik und Physik : Volume 60
Zeitschrift für angewandte Mathematik und Physik : Volume 59
Zeitschrift für angewandte Mathematik und Physik : Volume 58
Zeitschrift für angewandte Mathematik und Physik : Volume 57
Zeitschrift für angewandte Mathematik und Physik : Volume 56
Zeitschrift für angewandte Mathematik und Physik : Volume 55
Zeitschrift für angewandte Mathematik und Physik : Volume 54
Zeitschrift für angewandte Mathematik und Physik : Volume 53
Zeitschrift für angewandte Mathematik und Physik : Volume 52
Zeitschrift für angewandte Mathematik und Physik : Volume 51
Zeitschrift für angewandte Mathematik und Physik : Volume 50
Zeitschrift für angewandte Mathematik und Physik : Volume 49
Zeitschrift für angewandte Mathematik und Physik : Volume 48

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On the spatial behavior in Type III thermoelastodynamics

Content Provider SpringerLink
Author Leseduarte, M. C. Quintanilla, R.
Copyright Year 2013
Abstract This note is concerned with the linear (and linearized) Type III thermoelastodynamic theory proposed by Green and Naghdi. We investigate the spatial behavior of the solutions when we assume the positivity of the elasticity tensor, the thermal conductivity tensor, the mass density and the heat capacity. However, we do not assume (a priori) the positivity of the internal energy. We first obtain a Phragmén-Lindelöf alternative of exponential type for the solutions. Later, we prove that the decay can be controlled by the exponential of a second-degree polynomial. This is similar to other thermoelastic situations.
Ending Page 177
Page Count 13
Starting Page 165
File Format PDF
ISSN 00442275
e-ISSN 14209039
Journal Zeitschrift für angewandte Mathematik und Physik
Issue Number 1
Volume Number 65
Language English
Publisher Springer Basel
Publisher Date 2013-03-17
Publisher Place Basel
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Comparison arguments Mathematical Methods in Physics Liouville theorems, Phragmén-Lindelöf theorems Thermal effects Spatial growth/decay of solutions Energy methods Theoretical and Applied Mechanics Type III thermoelastodynamics
Content Type Text
Resource Type Article
Subject Applied Mathematics Physics and Astronomy
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