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Solution methods for Benney's equations

Wednesday 24th October 2001 - 11:00 to 12:00
INI Seminar Room 1
Benney's equations can be written as a Vlasov equation for a distribution function f(x,p,t). In some special cases, the reductions described by Gibbons and Tsarev, the initial value problem can be solved. The general case is more problematic, though Geogjaev has sketched some important steps towards a solution. We study the relationships between these constructions and with the d-bar techniques used by Konopelchenko and Martinez Alonso.
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons