Mass and heat transport in the two-phase Buckley-Leverett model

作者：Akhmetzyanov Atlas V; Kushner Alexei G^*; Lychagin Valentin V

来源：Journal of Geometry and Physics, 2017, 113: 2-9.

DOI：10.1016/j.geomphys.2016.06.010

• Asymptotics
• Integrability
• Caustics
• Shock waves

In this article we study the initial boundary value problem for two-phase heat and mass transport in porous media described by the Buckley Leverett-model. We outline a method to construct asymptotic solutions of the initial boundary problem and show how to overcome singularities in solutions and shock waves.

• 出版日期2017-3