منابع مشابه
Solitary-Wave Solutions to Boussinesq Systems with Large Surface Tension
Considered herein are certain Boussinesq systems with the presence of large surface tension. The existence and stability of solitary waves are established by using techniques introduced earlier by Buffoni [7] and Lions [9, 10].
متن کاملNumerical investigation of free surface flood wave and solitary wave using incompressible SPH method
Simulation of free surface flow and sudden wave profile are recognized as the most challenging problem in computational hydraulics. Several Eulerian/Lagrangian approaches and models can be implemented for simulating such phenomena in which the smoothed particle hydrodynamics method (SPH) is categorized as a proper candidate. The incompressible SPH (ISPH) method hires a precise incompressible hy...
متن کاملStrichartz Estimates for the Water-wave Problem with Surface Tension
We study dispersive properties of one-dimensional surface waterwaves under surface tension, based on the formulation of the problem as a nonlinear dispersive equation coupled with a transport-type equation. We establish a dispersion estimate on time scales depending on the size of the frequencies. We infer that, if s is large enough, then a solution u of the dispersive equation satisfies local-...
متن کاملWell-posedness of the Water-wave Problem with Surface Tension
In this paper, we prove the local well-posedness of the water wave problem with surface tension in the case of finite depth by working in the Eulerian setting. For the flat bottom, as surface tension tends to zero, the solution of the water wave problem with surface tension converges to the solution of the water wave problem without surface tension.
متن کاملAzimuthal solitary surface wave in cylindrical tank.
This Brief Report is devoted to the study of the solitary surface wave rotating in the azimuthal direction, arising during water drainage from a cylindrical reservoir, when shallow flow conditions are reached. The linear dependence between the wave speed and its amplitude is shown to be similar to that expected from the classical Korteweg-de Vries equation.
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ژورنال
عنوان ژورنال: Quarterly of Applied Mathematics
سال: 1983
ISSN: 0033-569X,1552-4485
DOI: 10.1090/qam/719510