F: Equation of a Wavephicle
wave equation(redirected from wave equations)Also found in: Thesaurus, Encyclopedia. wave equation n. 1. A differential or partial differential equation used to represent wave motion. 2. The fundamental equation of wave mechanics. American Heritage® Dictionary of the English Language, Fifth ...
In this paper, we consider the stabilization problem of a wave equation with a tip mass, which undergoes the external disturbances at the tip mass end. Here, the disturbance may be exponentially increasing. For such a model, the usual sliding mode control method cannot be applied. Therefore, ...
We obtain numerical solution of incompressible Navier-Stokes equations by a method combining time discretization by operator splitting, Stokes solvers à la Uzawa, and a wave equation-like treatment of the advection. The numerical results for classical wall-driven cavity flow show that the above metho...
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...
Forward modeling represents the kernel of both migration and inversion algorithms as the Green's function for wavefield propagation and is also an important diagnostic tool that provides insight into the physics of wave propagation and a means of testing hypotheses inferred from observational data. ...
Harmonic wave: an example of calculations Let's assume that you want to find out what the wavelength of a certain wave is. You have measured its displacement at two points, both at time t=1 st=1 s. At x=0 mmx=0 mm, the displacement was equal to y=−7 mmy=−7 mm. At x=...
We survey some recent results concerning with the Degasperis-Procesi equation, which can be derived as a member of a one-parameter family of asymptotic shallow-water wave approximations to the Euler equa- tions with the same asymptotic accuracy as that of the Camassa-Holm equation. We will foc...
Wave breakingRegularityAsymptotic convergenceThis paper considers a class of non-local equations that are weakly dispersive perturbations of the inviscid Burgers equation, which includes the Fornberg-Whitham equation as a special case. We precise the known results on finite time blow-up (shock ...
In this paper, we investigate the formation of singularities and the existence of peaked traveling-wave solutions for a modified Camassa-Holm equation with cubic nonlinearity. The equation is known to be integrable, and is shown to admit a single peaked soliton and multi-peakon solutions, of a ...