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math.AP2025
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.AP2022
Two-dimensional sloshing: domains with interior `high spots'
Nikolay Kuznetsov, Oleg Motygin
Considering the two-dimensional sloshing problem, our main focus is to construct domains with interior high spots; that is, points, where the free surface elevation for the fundame…