Location: room 611 of the Wiskunde building (campus De Uithof) Budapestlaan 6, Utrecht.
Date and time: Thursday, February 11, 2010 15:30-16:30. The lecture is preceded by coffee, tea, and cookies from 15.00 to 15.30 hour in the same room.
Abstract: We consider traveling wave solutions for an extended Buckley--Leverett (BL) equation describing two-phase flow in porous media. This equation includes a third order mixed derivatives term modeling dynamic effects in the capillary pressure, and can be seen as a higher order regularization for hyperbolic conservation laws. We focus on the existence of traveling waves in cases that are ruled out by standard two phase flow models. Such waves are possibly non monotone. In the limit case, when capillary effects are vanishing, this leads to physically motivated non-standard shock solutions to hyperbolic conservation laws. A particular attention will be paid to the non-monotonic water saturation profiles that have been observed experimentally, under different flow rates.
Schedule of the Utrecht math colloquium : This year's talks. Last term’s talks. Last year's talks. Guidelines for speakers.
Other math colloquia : TU Delft, Leiden, UvA Amsterdam, VU Amsterdam, Nijmegen.
Organisers : Sasha Gnedin and Paul Zegeling
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