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SUMMARY:O.V. Kaptsov
DTSTART:20220317T110000Z
DTEND:20220317T120000Z
DTSTAMP:20260423T024021Z
UID:mmandim/37
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/mmandim/37/"
 >Solutions of the Euler equations and stationary structures in an inviscid
  fluid</a>\nby O.V. Kaptsov as part of Mathematical models and integration
  methods\n\n\nAbstract\nThe Euler equations describing two-dimensional ste
 ady flows of an inviscid fluid are studied. These equations are reduced to
  one equation for the stream function and then\, using the Hirota function
 \, solutions of three nonlinear elliptic equations are found. The solution
 s found are interpreted as sources in a rotating fluid\, jets\, chains of 
 sources and sinks\, vortex structures. We propose a new simple method for 
 constructing solutions in the form of rational expressions of elliptic fun
 ctions. It is shown that the flux of fluid across a closed curve is quanti
 zed in the case of the elliptic Sin-Gordon equation.\n
LOCATION:https://researchseminars.org/talk/mmandim/37/
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