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math.AP2017
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…
math-ph2017
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…