On the two-dimensional sloshing problem

DOI10.1098/rspa.2004.1303zbMath1068.35107OpenAlexW2112414264MaRDI QIDQ5892663

Vladimir A. Kozlov, Nikolay Kuznetsov, Oleg V. Motygin

Publication date: 1 July 2005

Published in: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2004.1303

zbMATH Keywords

Laplace equationeigenfunctionnodal domainnodal linesimple eigenvaluefree oscillatins of an heavy fluid

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) General topics in linear spectral theory for PDEs (35P05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (10)

Asymptotics of sloshing eigenvalues for a triangular prism ⋮ Sloshing, Steklov and corners: asymptotics of sloshing eigenvalues ⋮ A DRBEM approximation of the Steklov eigenvalue problem ⋮ Eigenvalues of the Cauchy process on an interval have at most double multiplicity ⋮ The Steklov eigenvalue problem in a cuspidal domain ⋮ On the two-dimensional sloshing problem ⋮ On the ‘high spots’ of fundamental sloshing modes in a trough ⋮ Poincaré Type Inequalities for Vector Functions with Zero Mean Normal Traces on the Boundary and Applications to Interpolation Methods ⋮ Analytical and numerical assessments of boundary variations in Steklov eigenvalue problems ⋮ A Variational Characterization of Fluid Sloshing with Surface Tension

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