Kushner A. Anizotropic multi-phase filtration: geometrical approach (abstract)
Speaker: Alexei Kushner
Title: Anizotropic multi-phase filtration: geometrical approach
A differential-geometric description of the models of two-phase filtration in a plane anisotropic porous media is proposed. The concept of the anisotropy metric is introduced. A generalization of the Buckley-Leverett model for anisotropic media is constructed.
Joint work with Atlas Akhmetzyanov and Valentin Lychagin.
Event: Local and Nonlocal Geometry of PDEs and Integrability, 8-12 October 2018, SISSA, Trieste, Italy.
The conference in honor of Joseph Krasil'shchik's 70th birthday.