Add to ORKGWe study the derivation, properties and solution methods of the classical and the hyperbolic heat transfer equations. Some results to approximate the hyperbolic model with the classical model for small values of the thermal relaxation time are given. Finally, two examples of application of the hyperbolic model are studied and discussed
The article presents fundamentally new results on the analytical theory of thermal conductivity for ...
Classical Fourier law can accurately describe most heat conduction problems. But for ultrafast heat ...
Relations between the physical models describing the heat conduction in solids and a phenomenologica...
We study the derivation, properties and solution methods of the classical and the hyperbolic heat tr...
The second law of thermodynamics is a useful and universal tool to derive the generalizations of the...
We studied physical problems related to heat transport and the corresponding differential equations,...
In the last few decades, the theory of hyperbolic heat conduction has been shown to be a satisfactor...
AbstractThe problem is studied of how the solution varies as the relaxation time is altered for hype...
An increasing number of publications proposing various modified forms of the heat conduc...
We compare the model of heat transfer proposed by Cattaneo, Maxwell, and Vernotte with another one, ...
The interest of taking technology to increasingly small scales has required great changes and advanc...
An initial boundary value problem of hyperbolic partial differential equation derived from Cattaneo’...
This work focuses on analysis of classical heat transfer equation regularized with Maxwell-Cattaneo ...
We derive two different generalized heat-transport equations: the most general one, of the first ord...
The modeling of heat conduction is considered by letting the time derivative, in the Cattaneo-Maxwel...
The article presents fundamentally new results on the analytical theory of thermal conductivity for ...
Classical Fourier law can accurately describe most heat conduction problems. But for ultrafast heat ...
Relations between the physical models describing the heat conduction in solids and a phenomenologica...
We study the derivation, properties and solution methods of the classical and the hyperbolic heat tr...
The second law of thermodynamics is a useful and universal tool to derive the generalizations of the...
We studied physical problems related to heat transport and the corresponding differential equations,...
In the last few decades, the theory of hyperbolic heat conduction has been shown to be a satisfactor...
AbstractThe problem is studied of how the solution varies as the relaxation time is altered for hype...
An increasing number of publications proposing various modified forms of the heat conduc...
We compare the model of heat transfer proposed by Cattaneo, Maxwell, and Vernotte with another one, ...
The interest of taking technology to increasingly small scales has required great changes and advanc...
An initial boundary value problem of hyperbolic partial differential equation derived from Cattaneo’...
This work focuses on analysis of classical heat transfer equation regularized with Maxwell-Cattaneo ...
We derive two different generalized heat-transport equations: the most general one, of the first ord...
The modeling of heat conduction is considered by letting the time derivative, in the Cattaneo-Maxwel...
The article presents fundamentally new results on the analytical theory of thermal conductivity for ...
Classical Fourier law can accurately describe most heat conduction problems. But for ultrafast heat ...
Relations between the physical models describing the heat conduction in solids and a phenomenologica...