Wave breakingHamiltonian formalismModulational instabilityEnvelope equationWater waves have long been a subject of attention of both mathematicians and physicists. The formulation of the problem is simple enough to be considered fundamental, but as of yet many questions stil...
The ordinary nonlinear Schrdinger equation for deep-water waves (found by a perturbation analysis to O(ε^3) in the wave steepness ε) compares unfavourably with the exact calculations of Longuet-Higgins (1978) for ε > 0·10. Dysthe (1979) showed that a significant improvement is found by...
Define The wave equation. The wave equation synonyms, The wave equation pronunciation, The wave equation translation, English dictionary definition of The wave equation. n. 1. A differential or partial differential equation used to represent wave motion.
4) shallow water wave equation 浅水波方程 1. Derivations of shallow water wave equations and suspended sediment diffusion equations by method of multiple scales; 应用多重尺度法推导浅水波方程和悬沙扩散方程 2. Variable separation solution and soliton excitations of the (1+1)-dimensional generalised...
We study the break-down mechanism of smooth solution for the gravity water-wave equation of infinite depth. It is proved that if the mean curvature κ of the free surface Σ t , the trace ( V , B ) of the velocity at the free surface, and the outer normal derivative \\\(\\\frac{...
数学家使用的方程式是浅水波方程式(Shallow water wave equation)。浅水波方程式是如式一的一组复杂的偏微分方程式。 scimonth.blogspot.com|基于 1 个网页 3. 成浅水波方程式 ...holtz 方程式;另 外当水深远小於波长时可退化成浅水波方程式(Shallow water wave equation)。
For the Cauchy problem of the one-dimensional free surface equation of shallow water waves, we obtain local well-posedness of the free surface equation of shallow water waves in Sobolev spaces. We also derive a wave-breaking mechanism for strong solutions. 关键词: local well-posedness wave-break...
In the above relation, f is the frequency of the wave and ci is the sound velocity in the fluid inside the pipe (for water this sound velocity is about 5000 ft/sec and for air it is about 1100 ft/sec). The values of αom for the first few m are m=0α00=0m=1α01=3.83m=2...
Water wave problems using null-field boundary integral equations: Ill-posedness and remedies In this article, we focus on the hydrodynamic scattering of water wave problems containing circular and/or elliptical cylinders. Regarding water wave probl... JT Chen,JW Lee - 《Applicable Analysis》 被引量...
A generalization of the Korteweg-de Vries equation to the weakly one-dimensional case is considered. It is shown that with positive dispersion, the equation has a solution in the form of a two-dimensional steady-state solitary wave, an extraordinary soliton. A method of numerical solution employi...