Abstract.
We consider a model describing compressible nuclear waste disposal contamination in porous media. The transport of brine, radionuclides and heat is described by a nonlinear coupled parabolic system. The viscosity of the fluid is unbounded and concentrations and temperature dependent. Using a fixed point approach, we prove existence of physically relevant weak solutions.
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Choquet, C. Existence Result for a Radionuclide Transport Model with Unbounded Viscosity. J. math. fluid mech. 6, 365–388 (2004). https://doi.org/10.1007/s00021-003-0097-z
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DOI: https://doi.org/10.1007/s00021-003-0097-z