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On a Mathematical Model of a Radiating, Viscous, Heatconducting Fluid: Remarks on a Paper by J. Förste
Author(s) -
Gergó L.,
Stoyan G.
Publication year - 1997
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19970770510
Subject(s) - domain (mathematical analysis) , flow (mathematics) , fluid dynamics , mathematics , viscous liquid , intensity (physics) , partial differential equation , conservation of mass , differential equation , calculus (dental) , mathematical analysis , physics , mechanics , optics , medicine , dentistry
We consider a mathematical model of the fluid indicated in the title which is useful in describing several processes of industrial interest like gas flow in lighting devices or flow of molt glass in a glass furnace. This model includes the three‐dimensional Navier‐Stokes equations, mass conservation, and equations for radiation intensity (differential approximation) and temperature. The problem is rewritten to define a weak solution the existence of which we re‐prove following a paper by J. Förste. For unicity of the solution we give a modified proof (under suitable conditions on the solution domain).