Studies in Applied MathematicsR. Haberman. Phase shift modulations for stable, oscillatory, traveling, strongly nonlinear waves. Stud. Appl. Math. , 84(1):57–69, 1991. MATH MathSciNetHaberman, R. (1991) Phase shift modulations for stable, oscillatory, traveling, strongly nonlinear waves. ...
Minimum wave speed and uniqueness of monotone mono-stable traveling waves. 来自 掌桥科研 喜欢 0 阅读量: 56 作者: M Puckett 摘要: Reaction-diffusion equations are used in many fields, including biology, chemistry, and physics. The solutions of reaction diffusion equations have many different ...
In quantum technologies, it is essential to understand and exploit the interplay of light and matter. We introduce an approach creating and maintaining the coherence of four oscillators: a global microwave reference field, a polarization-gradient traveling-wave pattern of light, and the spin and ...
We also determine the existence of a maximal propagation speed for these traveling waves through an explicit upper bound depending on the conformal factor. 漏 2015 Wiley Periodicals, Inc.doi:10.1002/cpa.21615Alama, StanBronsard, LiaContreras, Andres...
mono-stable reaction-diffusion equationsThis paper is concerned with planar traveling wavefronts of mono-stable reaction-diffusion equations in R-n (n >= 2). We show that the large time behavior of the disturbed fronts can be controlled by two functions, which are the solutions of the ...
An exact wave-action equation is introduced if the traveling wave is stable, involving averages over the periodic wave as well as time. This is equivalent to an extended averaged Lagrangian principle. The equation for the slow modulations of the phase shift of the traveling wave is derived ...
Reitich, Stable, high-order computation of traveling water waves in three dimensions, Eur. J. Mech. B Fluids, 25 (2006), pp. 406-424.D. NICHOLLS and F. REITICH, Stable, high-order computation of traveling water waves in three dimensions, Eur. J. Mech. B/Fluids 25: 406-424 (2006...
Using the Lotka-Volterra competition model as an example, a method is developed for determining this minimum wave speed. In the example model, the exact minimum wave speed is determined. Furthermore, the method could be applied to other models. A related problem is the question of uniqueness....