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math-ph2026
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.…
math-ph2025
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…
math-ph2024
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…