3 papers
math.AP2026
On the exchange of stability for the subcritical laminar flow
Vladimir Kozlov, Oleg Motygin
We consider steady water waves in a two-dimensional channel bounded below by a flat, rigid bottom and above by a free surface. Surface tension is neglected, and the flow is rotatio…
math.AP2025
Spectral properties of the Frechet derivatives of stratified steady Stokes waves
Vladimir Kozlov
We consider stratified steady water waves in a two dimensional channel. Our main subject is spectral properties of the Frechet derivatives of steady water Stokes waves. One of main…
math.AP2025
On non-uniqueness of solitary waves on two-dimensional rotational flow
Vladimir Kozlov
We consider solitary water waves on a rotational, unidirectional flow in a two-dimensional channel of finite depth. Ovsyannikov has conjectured in 1983 that the solitary wave is un…