Two-phase Two-component Flow in Porous Media in Low Solubility Regime
Mladen Jurak, Ivana Radišić, Ana Žgaljić Keko · SIAM Journal on Mathematical Analysis · 2019
We study a system of equations governing liquid and gas flow in porous media. The gas phase is homogeneous, while the liquid phase is composed of a liquid component and a dissolved gas component. It is assumed that the gas component is weakly soluble in the liquid. We formulate a weak solution of the initial boundary value problem and prove the existence theorem by passing to the limit in regularizations of the problem. The hypothesis of low solubility is given precise mathematical meaning.