Seminar talk, 1 June 2016

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Speaker: Valentin Lychagin

Title: Mass and heat transport in two-phase Buckley-Leverett's model: integrability, singularities and shock waves

It is observed that the Buckley-Leverett models for multi-phase filtration in porous media lead to various singularities in solutions and shock waves. It creates instability problems in numerical implementation of the models and makes unclear functional classes where we are going to find solutions.

In this talk we'll discuss an geometrical approach to overcome these difficulties.