Results 251 to 260 of about 593,954 (295)

Waves and Patterns on Regular Graphs

SIAM Journal on Applied Dynamical Systems, 2015
The authors consider coupled phase oscillators on finite regular networks that can be thought of as approximating the surface of a sphere. Examples studied include the dodecahedron (20 nodes) and the buckyball (60 nodes) and various generalisations of these. For some networks and some coupling functions the authors can show that rotating wave solutions
Udeigwe, Lawrence C., Ermentrout, G. Bard   +1 more
openaire   +2 more sources

Regularity Results for Nonlinear Wave Equations

The Annals of Mathematics, 1993
We report on some recent progress on the Cauchy problem for semilinear wave equations \(u_{tt} - \Delta u + g(u) = 0\) in \(\mathbb{R}^n \times \mathbb{R}\) for smooth nonlinearities \(g\) of critical growth \(g(u) = u |u |^{2^* - 2}\) for large \(|u |\), where \(2^* = (2n)/(n - 2)\), and related problems. Our aim in this article is twofold.
Shatah, Jalal, Struwe, Michael
openaire   +1 more source

Travelling Wave Solutions of the General Regularized Long Wave Equation

Qualitative Theory of Dynamical Systems, 2021
This paper studies the model of the general regularized long wave (GRLW) equation. The main contribution of this paper is to find that GRLW equation has extra kink and anti-kink wave solutions when $p = 2n + 1$, while it's not for $p = 2n$. The authors give the phase diagram and obtained possible exact explicit parametric representation of the ...
Hang Zheng, Yonghui Xia, Yuzhen Bai, Luoyi Wu   +3 more
openaire   +2 more sources

Scattering of regularized-long-wave solitary waves

Physica D: Nonlinear Phenomena, 1984
The Lagrangian density for the regularized-long-wave equation (also known as the BBM equation) is presented. Using the trial function technique, ordinary differential equations that describe the time dependence of the position of the peaks, amplitudes, and widths for the collision of two solitary waves are obtained.
Morrison, P. J., Meiss, J. D., Cary, J. R.   +2 more
openaire   +2 more sources

Wave Height and Planing Hull Wave Slams in Regular Waves

SNAME Chesapeake Power Boat Symposium, 2016
High-speed planing boats are subject to repeated slamming impacts. These impacts can cause structural damage and discomfort, or even injury, to passengers. The motivation for this research is to determine a relationship between wave height and vertical accelerations of planing crafts.
Carolyn Judge, Alexander Mychalowych, Rachel Slater   +2 more
openaire   +1 more source

Nonlinear Reconstruction and Prediction of Regular Waves

Volume 5B: Ocean Engineering; Honoring Symposium for Professor Günther F. Clauss on Hydrodynamics and Ocean Engineering, 2022
Abstract A method for the reconstruction of nonlinear ocean surfaces is presented and applied to regular waves. From random samples of surface elevation, the method reconstructs the nonlinear features of the observed waves by means of the High-Order Spectral approach.
Desmars, Nicolas, Hartmann, Moritz Cornelius Nikolaus, Behrendt, Jasper, Klein, Marco, Hoffmann, Norbert   +4 more
openaire   +1 more source

Numerical solution of regularized long‐wave equation

Communications in Numerical Methods in Engineering, 1993
AbstractA combination of the splitting method and the cubic spline technique has been used to solve a non‐linear regularized long wave (RLW) equation. The accuracy and the stability of the proposed method are discussed. Then, two numerical examples are solved to illustrate the robustness of the algorithm.
Jain, P. C., Shankar, Rama, Singh, T. V.
openaire   +1 more source

Chaotic sound waves in a regular billiard

Physical Review E, 2003
We present experimental results for the ultrasound transmission spectra and standing wave patterns of a rectangular block of fused quartz. A comparison is made between our data and an approximation of the theoretical staircase function for three-dimensional isotropic elasticity.
Schaadt, K, Tufaile, APB, Ellegaard, C
openaire   +3 more sources

Water Particle Velocities in Regular Waves

Journal of Waterway, Port, Coastal, and Ocean Engineering, 1985
The Eulerian water particle velocities under paddle-generated regular waves in a closed channel are not always accurately predicted by a conventional application of Stokes’ first, second or fifth order wave theory. Phenomena, which give rise to errors, include mass-transport, the partial clapotis formed by reflection from the spending beach and the ...
Geoffrey N. Bullock, Ian Short
openaire   +2 more sources

Wave Load Acting on Advanced Spar in Regular Waves

Volume 6: Ocean Space Utilization, 2018
Offshore wind turbines have been investigated and developed as one of the renewable energies. In Japan, the research and development of floating type offshore wind turbines have been carried out because the water around the country is too deep to settle the bottom mounted type. In this paper, we investigate the effects of the diameter of
Takayuki Hirai, Akira Sou, Yasunori Nihei   +2 more
openaire   +1 more source