59 citations · 107 across the 12 of their papers we have counts for
7 papers · 1 filter
On solutions of the Euler equation for incoherent fluid on a rotating sphere
B. G. Konopelchenko, G. Ortenzi
The motion of compressible, inviscid fluid under the constant pressure on a rotating sphere is studied. The hodograph equations for the corresponding Euler equation are presented.…
On Euler equation for incoherent fluid in curved spaces
B. G. Konopelchenko, G. Ortenzi
Hodograph equations for the Euler equation in curved spaces with constant pressure are discussed. It is shown that the use of known results concerning geodesics and associated inte…
On pressureless Euler equation with external force
B. G. Konopelchenko, G. Ortenzi
Hodograph equations for the n-dimensional Euler equations with the constant pressure and external force linear in velocity are presented. They provide us with solutions of the Eule…
On blowups of vorticity for the homogeneous Euler equation
B. G. Konopelchenko, G. Ortenzi
Blowups of vorticity for the three- and two- dimensional homogeneous Euler equations are studied. Two regimes of approaching a blowup points, respectively, with variable or fixed t…
Homogeneous Euler equation: blow-ups, gradient catastrophes and singularity of mappings
B. G. Konopelchenko, G. Ortenzi
The paper is devoted to the analysis of the blow-ups of derivatives, gradient catastrophes and dynamics of mappings of associated with the -dimen…
Jordan form, parabolicity and other features of change of type transition for hydrodynamic type systems
B. G. Konopelchenko, G. Ortenzi
Changes of type transitions for the two-component hydrodynamic type systems are discussed. It is shown that these systems generically assume the Jordan form (with 2 X 2 Jordan bloc…
Cohomological, Poisson structures and integrable hierarchies in tautological subbundles for Birkhoff strata of Sato Grassmannian
B. G. Konopelchenko, G. Ortenzi
Cohomological and Poisson structures associated with the special tautological subbundles for the Birkhoff strata of Sato Grassmannian are considered. It is s…