1 citations · 1 across the 3 of their papers we have counts for
5 papers
A comparison theorem for super- and subsolutions of and its application to water waves with vorticity
Vladimir Kozlov, Nikolay Kuznetsov
A comparison theorem is proved for a pair of solutions that satisfy in a weak sense opposite differential inequalities with nonlinearity of the form with belonging to t…
On the absence of trapped water waves near a cliffed cape
Nikolay Kuznetsov
The water wave problem is considered for a class of semi-infinite domains each having its shore shaped as a cliffed cape. In particular, the free surface of a water domain is suppo…
A Faber--Krahn inequality for indented and cut membranes
Nikolay Kuznetsov
In 1960, Payne and Weinberger proved that among all domains that lie within a wedge (an angle whose measure is less than or equal to ), and have a given value of a certain integ…
Two-dimensional water waves in the presence of a freely floating body: conditions for the absence of trapped modes
Nikolay Kuznetsov
The coupled motion is investigated for a mechanical system consisting of water and a body freely floating in it. Water occupies either a half-space or a layer of constant depth int…
On Delusive Nodes of Free Oscillations
Nikolay Kuznetsov
Two theorems and one conjecture about nodal sets of eigenfunctions arising in various spectral problems for the Laplacian are reviewed. It occurred that all these assertions are in…