A semilinear pseudo-heat-conduction equation
Abstract
The problem considered appears in the two-temperature theory developed by Chen and Gurtin (1968) and in the theory of seepage of homogeneous liquids in fissured rocks reported by Barenblatt et al. (1960). Results obtained by Showalter and Ting (1970) and Showalter (1972) can be significantly improved with the aid of a method which makes it possible to use an abstract existence theorem presented by Ambrosetti (1967) for differential equations in Banach spaces.
- Publication:
-
Gesellschaft angewandte Mathematik und Mechanik Jahrestagung Goettingen West Germany Zeitschrift Flugwissenschaften
- Pub Date:
- April 1975
- Bibcode:
- 1975GMMWJ..55..195B
- Keywords:
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- Conductive Heat Transfer;
- Linear Equations;
- Liquid-Solid Interfaces;
- Thermohydraulics;
- Banach Space;
- Boundary Value Problems;
- Geothermal Resources;
- Rocks;
- Thermodynamics;
- Fluid Mechanics and Heat Transfer