Seminar talk, 22 February 2012

From Geometry of Differential Equations
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Speaker: Maxim Pavlov

Title: Reduction of kinetic equations to finite-dimensional systems

Abstract:
We consider coverings over multidimensional quasi-linear systems of partial differential equations of first order as kinetic equations, for which an approach allowing to derive -component reductions is known. The distinction from the approach developed by John Gibbons, Sergey Tsarev and Eugene Ferapontov and his coauthors in that only one -component reduction is presented explicitly instead of a whole family parametrized by function of one argument. That is, one of solutions of the Gibbons-Tsarev system is automatically presented parametrised by constants.

Slides: Chesnokov A., Pavlov M. Reductions of kinetic equations to finite component systems (presentation, 2012).pdf