1,721,076 research outputs found
Reactive Flow and Transport Through Complex Systems
No full textThe meeting focused on mathematical aspects of reactive flow, diffusion and transport through complex systems. The research interest of the participants varied from physical modeling using PDEs, mathematical modeling using upscaling and homogenization, numerical analysis of PDEs describing reactive transport, PDEs from fluid mechanics, computational methods for random media and computational multiscale methods
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Multiple Scale Systems-Modeling, Analysis and Numerics
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Recommended from our members
Reactive Flow and Transport Through Complex Systems
Full text linkThe meeting focused on mathematical aspects of reactive flow, diffusion and transport through complex systems. The research interest of the participants varied from physical modeling using PDEs, mathematical modeling using upscaling and homogenization, numerical analysis of PDEs describing reactive transport, PDEs from fluid mechanics, computational methods for random media and computational multiscale methods
An existence result for the equations describing a gas-liquid two-phase flow
No full textInternational audienc
An introduction to the homogenization modeling of non-Newtonian and electrokinetic flows in porous media
No full textInternational audienceThe flow of complex fluids through porous media is common to many engineering applications. The upscaling is a powerful tool for modeling nonhomo-geneous media and we consider homogenization of quasi-Newtonian and electroki-netic flows through porous media. For the quasi-Newtonian polymeric fluids, the incompressible Navier-Stokes equations with the invariants dependent viscosity is supposed to hold the pore scale level. The 2-scale asymptotic expansions and the two-scale convergence of the monotone operators are applied to derive the reservoir level filtration law, given as a monotone relation between the filtration velocity and the pressure gradient. The second problem, we consider, is the quasi-static transport of an electrolyte through an electrically charged medium. The physical chemistry modeling is presented and used to get a dimensionless form of the problem. Next the equilibrium solutions are constructed through solving the Poisson-Boltzmann equation. For the solutions being close to the equilibrium, the two-scale convergence is applied to obtain the Onsager relations linking gradients of the pressure and of the chemical potentials to the filtration velocity and the ionic fluxes
A global existence result for the equations describing unsaturated flow in porous media with dynamic capillary pressure
No full textInternational audienc
A global existence result for the equations describing unsaturated flow in porous media with dynamic capillary pressure
No full textInternational audienc
A global existence result for the equations describing unsaturated flow in porous media with dynamic capillary pressure
No full textInternational audienc
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