Natural convection in porous media has been researched for a long time. In this study, the focus was on natural convection in two processes in porous media: CO2-sequestration in deep saline aquifers and CO2-Vapex. Knowing the fate of CO2 after injection into deep aquifers is ess…
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We study the Dirichlet problem for conformally compact Einstein metrics on 5-manifolds with globally static isometric circle actions. As an application of our general results we show that any non-flat analytic warped product metric on S3 × SI with non-negative scalar curvature i…