A proof of existence for a generalized heat conduction equation
Abstract
The integral equations of Gurtin and Pipkin (1968) and Meixner (1970) describing the temperature variation in a homogeneous, isotropic, source-free medium, which fulfill the wave expansion postulate, are generalized into the form of a meaningful mixed boundary-value problem. This work is an additional contribution to the original finding that temperature disturbances can propagate at arbitrarily high speeds in these media.
- Publication:
-
Gesellschaft angewandte Mathematik und Mechanik Jahrestagung Goettingen West Germany Zeitschrift Flugwissenschaften
- Pub Date:
- April 1975
- Bibcode:
- 1975GMMWJ..55..211K
- Keywords:
-
- Conductive Heat Transfer;
- Existence Theorems;
- Integral Equations;
- Boundary Value Problems;
- Isotropic Media;
- Parabolic Differential Equations;
- Thermal Conductivity;
- Fluid Mechanics and Heat Transfer