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arXiv · 2102.00455

Nonisothermal Richards flow in porous media with cross diffusion

Esther S. Daus·Josipa Pina Milišić·Nicola Zamponi
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Abstract

The existence of large-data weak entropy solutions to a nonisothermal immiscible compressible two-phase unsaturated flow model in porous media is proved. The model is thermodynamically consistent and includes temperature gradients and cross-diffusion effects. Due to the fact that some terms from the total energy balance are non-integrable in the classical weak sense, we consider so-called variational entropy solutions. A priori estimates are derived from the entropy balance and the total energy balance. The compactness is achieved by using the Div-Curl lemma.

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Esther S. Daus, Josipa Pina Milišić, Nicola Zamponi. 2021-01-31. Nonisothermal Richards flow in porous media with cross diffusion. https://arxiv.org/abs/2102.00455

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