16 citations · 48 across the 14 of their papers we have counts for
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nlin.SI2021★ 5 cited
On universality of homogeneous Euler equation
B. G. Konopelchenko, G. Ortenzi
Master character of the multidimensional homogeneous Euler equation is discussed. It is shown that under restrictions to the lower dimensions certain subclasses of its solutions pr…
nlin.SI2012★ 16 cited
Quasi-classical approximation in vortex filament dynamics. Integrable systems, gradient catastrophe and flutter
B. G. Konopelchenko, G. Ortenzi
Quasiclassical approximation in the intrinsic description of the vortex filament dynamics is discussed. Within this approximation the governing equations are given by elliptic syst…
nlin.SI2011★ 3 cited
Gradient catastrophe and flutter in vortex filament dynamics
B. G. Konopelchenko, G. Ortenzi
Gradient catastrophe and flutter instability in the motion of vortex filament within the localized induction approximation are analyzed. It is shown that the origin if this phenome…