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math.AP2021
On negative eigenvalues of the spectral problem for water waves of highest amplitude
Vladimir Kozlov, Evgeniy Lokharu
We consider a spectral problem associated with steady water waves of extreme form on the free surface of a rotational flow. It is proved that the spectrum of this problem contains…
math.AP2021
An asymptotic behaviour near the crest of waves of extreme form on water of finite depth
Vladimir Kozlov, Evgeniy Lokharu
We prove local higher-order asymptotics for extreme water waves with vorticity near stagnation points. We obtain that the behaviour of solutions and their regularity depend substan…
math.AP2021
Modeling of fluid flow in a flexible vessel with elastic walls
V. Kozlov, S. Nazarov, G. Zavorokhin
We exploit a two-dimensional model [7], [6] and [1] describing the elastic behavior of the wall of a flexible blood vessel which takes interaction with surrounding muscle tissue an…