Sloshing problem in a half-plane covered by a dock with two gaps: monotonicity and asymptotics of eigenvalues
نویسندگان
چکیده
The two-dimensional sloshing problem is considered in a half-plane covered by a rigid dock with two symmetric gaps. It is proved that the antisymmetric (symmetric) sloshing eigenvalues are monotonically decreasing (increasing) functions of spacing between gaps and formulae for their derivatives are obtained. sloshing problem / eigenvalue / eigenfunction / integral operator / asymptotic formula Résumé. Les oscillations libres d’une fluide dans un demi-plan sous un couvercle rigid avec deux ouvertures: la monotonie des valeurs propres oscillations libres d’une fluide / valeur propre / fonction propre / opérateur intégral / formule asymptotique
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