The solubility of the basic equations of radiation hydrodynamics in the case of a very small and a very large Bouguer number
Abstract
We consider the basic equations of hydrodynamics with radiation-effects. The Bouguer number Bu is assumed to be very small or very large. An existence theorem of the initial-boundary-value problem is shown for two-dimensional time-dependend flows in a bounded region. A uniqueness-theorem is shown under some conditions in the case Bu much less than 1, for Bu much greater than 1 this question is open.
- Publication:
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Zeitschrift Angewandte Mathematik und Mechanik
- Pub Date:
- June 1977
- DOI:
- Bibcode:
- 1977ZaMM...57..277F
- Keywords:
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- Boundary Value Problems;
- Hydrodynamic Equations;
- Radiation Effects;
- Two Dimensional Flow;
- Convergence;
- Existence Theorems;
- Integral Equations;
- Uniqueness Theorem;
- Fluid Mechanics and Heat Transfer