Dipole approximation for the problem on nonlinear waves generation by an embedded sphere (Q2760637)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Dipole approximation for the problem on nonlinear waves generation by an embedded sphere |
scientific article; zbMATH DE number 1682201
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Dipole approximation for the problem on nonlinear waves generation by an embedded sphere |
scientific article; zbMATH DE number 1682201 |
Statements
13 December 2001
0 references
nonstationary surface waves
0 references
ideal incompressible fluid
0 references
irrotational flow
0 references
elliptic boundary value problem
0 references
embedded sphere
0 references
Cauchy-Poisson problem
0 references
nonlinear boundary conditions
0 references
free boundary
0 references
system of integro-differential equations
0 references
potential function
0 references
asymptotic expansion
0 references
dipole
0 references
Dipole approximation for the problem on nonlinear waves generation by an embedded sphere (English)
0 references
The author studies nonstationary surface waves in the presence of an embedded sphere. The Cauchy-Poisson problem with nonlinear boundary conditions on the free boundary is reduced to a system of integro-differential equations which describe the free boundary and potential function on it. It is shown that the leading term in asymptotic expansion with respect to the fluid depth can be represented as a dipole whose moment depends on the radius of the sphere, on its velocity, of the shape of wave surface, and on the fluid velocity on the free surface.
0 references
