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SUMMARY:Konstantin Druzhkov
DTSTART:20250326T162000Z
DTEND:20250326T180000Z
DTSTAMP:20260423T041819Z
UID:GDEq/133
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GDEq/133/">A
  non-trivial conservation law with a trivial characteristic</a>\nby Konsta
 ntin Druzhkov as part of Geometry of differential equations seminar\n\n\nA
 bstract\nAs far as I am aware\, no nontrivial conservation laws surviving 
 to the second page of Vinogradov's C-spectral sequence have been establish
 ed. It turns out that presymplectic structures that cannot be described in
  terms of cosymmetries produce such conservation laws for closely related 
 overdetermined systems. In particular\, the presymplectic structure $D_x$ 
 of the potential mKdV equation gives rise to such a conservation law for t
 he overdetermined system $u_t = 4u_x^3 + u_{xxx}$\, $u_y = 0$. While this 
 example is somewhat degenerate\, it may be one of the simplest systems exh
 ibiting this phenomenon.\n
LOCATION:https://researchseminars.org/talk/GDEq/133/
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