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SUMMARY:Alexei Kushner
DTSTART:20221109T162000Z
DTEND:20221109T180000Z
DTSTAMP:20260423T024752Z
UID:GDEq/68
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GDEq/68/">On
  the integration of suspension filtration equations and thrombus formation
 </a>\nby Alexei Kushner as part of Geometry of differential equations semi
 nar\n\nLecture held in room 303 of the Independent University of Moscow.\n
 \nAbstract\nThe problem of one-dimensional filtration of a suspension in a
  porous medium is considered. The process is described by a hyperbolic sys
 tem of two first-order differential equations. This system is reduced by a
  change of variables to the symplectic equation of the Monge-Ampère type.
  It is noteworthy that this symplectic equation cannot be reduced to a lin
 ear wave equation by a symplectic transformation (the Lychagin-Rubtsov the
 orem works here)\, but it can be done by a contact transformation. This ma
 de it possible to find its exact general solution and exact solutions of t
 he original system. The solution of the initial-boundary value problem and
  the Cauchy problem are constructed.\n\nJoint work with Svetlana Mukhina.\
 n
LOCATION:https://researchseminars.org/talk/GDEq/68/
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