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- Title
Mathematical Analysis of a Transport Model with Unbounded Heat Capacities.
- Authors
Choquet, Catherine
- Abstract
We consider a problem of nuclear waste contamination in the basement. We derive a detailed model describing the simultaneous transport of brine, radionuclides and heat in a compressible flow through a porous medium. It leads to a nonlinear system of fully coupled partial differential equations. Using a fixed point approach, we prove existence of physically relevant weak solutions.
- Subjects
MATHEMATICAL analysis; NONLINEAR systems; PARTIAL differential equations; RADIOACTIVE wastes; SALT; RADIOISOTOPES; HEAT
- Publication
Acta Applicandae Mathematicae, 2008, Vol 103, Issue 3, p277
- ISSN
0167-8019
- Publication type
Article
- DOI
10.1007/s10440-008-9235-1