Journal ArticleDOI
A note on the singularities in the theory of water waves with an inertial surface
B. N. Mandal,Krishna Kundu +1 more
TLDR
In this paper, the derivation of velocity potentials describing the generation of infinitesimal gravity waves in a motionless liquid with an inertial surface composed of uniformly distributed floating particles, due to fundamental line and point sources with time-dependent strengths submerged in a liquid of finite constant depth, is discussed.Abstract:
This note is concerned with the derivation of velocity potentials describing the generation of infinitesimal gravity waves in a motionless liquid with an inertial surface composed of uniformly distributed floating particles, due to fundamental line and point sources with time-dependent strengths submerged in a liquid of finite constant depth.read more
Citations
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Motion due to fundamental singularities in finite depth water with an elastic solid cover
TL;DR: In this article, the Laplace transform technique is employed to obtain their solutions for initial value problems and Graphs of particular integrals appearing in the representations of the potential functions are presented, which confirm that the expressions thus derived are suitable for numerical computation for all possible combinations of the positions of the field point and the source point.
Journal ArticleDOI
Water waves generated by disturbance at an inertial surface
TL;DR: In this paper, the Laplace transform technique is used to solve an initial value problem describing waves generated by a disturbance created at the surface of water covered by an inertial surface composed of a thin but uniform distribution of floating particles.
Journal ArticleDOI
Potential functions of HKT spaces
Yat Sun Poon,Andrew Swann +1 more
TL;DR: In this article, the potential functions for = 4B supersymmetric quantum mechanics with D(2,1,α) symmetry were described for the case of 4B quantum mechanics.
Journal ArticleDOI
Water waves generated at an inertial surface by an axisymmetric initial surface disturbance
B. N. Mandal,S. Mukherjee +1 more
TL;DR: In this article, the problem of generating surface waves in a liquid with an inertial surface due to an initial axially symmetric surface disturbance is discussed, and the form of the inertial surfaces is obtained asymptotically for large values of time and distance.
Journal ArticleDOI
Problems in the dynamics of flotation liquids
S. A. Gabov,A. G. Sveshnikov +1 more
TL;DR: In this article, the authors present new mathematical results in the theory of linear and nonlinear waves on the surface of a flotation liquid, and prove the existence of nonlinear standing waves within the framework of an exact physical model.
References
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Journal ArticleDOI
Note on the effect of surface tension on water waves at an inertial surface
TL;DR: In the presence of surface tension small progressive waves can always exist in water having an inertial surface composed of uniformly distributed floating particles, in contrast to the known result that precludes propagation under a surface that is too heavy as mentioned in this paper.