Sloshing problem in a half-plane covered by a dock with two gaps: monotonicity and asymptotics of eigenvalues

Fox, 1983, Sloshing frequencies, Z. Angew. Math. Phys., 34, 668, 10.1007/BF00948809 Kozlov, 1997 Hardy, 1913, Notes on some points in the integral calculus. XXXV: On an integral equation, Messenger of Math., 42, 89 Vladimirov, 1971 Riesz, 1972 Kuttler, 1984, A nodal line theorem for the sloshing problem, SIAM J. Math. Anal., 15, 1234, 10.1137/0515100 Kuznetsov, 1990, A variational method of determining the eigenfrequencies of a liquid in a channel, PMM USSR, 54, 458 Davis, 1970, Waves in the presence of an infinite dock with gap, J. Inst. Math. Appl., 6, 141, 10.1093/imamat/6.2.141