Mathematical Analysis of a Transport Model with Unbounded Heat Capacities

• Autores: Catherine Choquet
• Localización: Acta applicandae mathematicae, ISSN 0167-8019, Vol. 103, Nº. 3, 2008, págs. 277-299
• Idioma: inglés
• DOI: 10.1007/s10440-008-9235-1
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• Resumen

  • 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.