On the spatial decay of solutions in the nonlinear theory of heat conduction
Abstract
Edelstein (1971) has derived both integral and pointwise decay estimates for a semilinear heat equation that is based on Fourier's law. As an extension of Edelstein's work, spatial decay estimates are derived for solutions in a finite cylinder whose response is governed by the general nonlinear heatconduction theory. The approach employed differs from Edelstein's approach in that the integral and pointwise estimates are obtained for the internal energy.
 Publication:

Journal of Mathematical Analysis and Applications
 Pub Date:
 December 1974
 Bibcode:
 1974JMAA...48..687N
 Keywords:

 Boundary Value Problems;
 Conductive Heat Transfer;
 Constitutive Equations;
 Nonlinear Equations;
 Spatial Dependencies;
 Existence Theorems;
 Heat Flux;
 Inequalities;
 Internal Energy;
 Lipschitz Condition;
 Fluid Mechanics and Heat Transfer