Here, R=2Acos(2πx/λ) is the amplitude of medium particle situated at a distance x The given equation can be expressed asy=10sin[2π50(5000t−x)]+10sin[2π50(5000t+x)]=2×10cos(2πx50)sin(2π505000t)Comparing it with standard eq...
Using tortoise coordinate transformation, Klein-Gordon equation, Maxwell's electromagnetic field equations, and Dirac particles can be transformed into single form of wave equation near the event horizon. Quantum Radiation Properties of General Nonstationary Black Hole It can be shown that if the displa...
of a grid of asymptotic lines on surfaces of constant negative curvature in E 3 we show that those surfaces and only those that have curvature −1 and any two asymptotic lines of a single family of which are congruent correspond to solutions of stationary-wave type z = z ( x + by )...
Harmonic waves are amplified, neutral or damped, depending respectively on whether the argument of the Bessel function is imaginary, zero or real. No steady wave is possible in spherical viscous flow, although quasi-stationary waves, ... SK Kao - 《Journal of Atmospheric Sciences》 被引量: 298...
derive mathematically rigorous results on the existence and nonexistence of stationary states for some nonlinear wave equations (e.g., the nonlinear Schrdinger equation and the complex nonlinear Klein‐Gordan equation).A prioriestimates useful in the study of stability of stationary states are also ...
Integral of wave kinetic equation of electrostatic drift waves is obtained based on the weak turbulence approach for arbitrary number of modes, N. If the stationary spectrum of N modes exists, the wave amplitude is bounded for any initial conditions. The stationary spectrum, which appears only if...
WAVESBook:ICSEChapter:WAVESExercise:Superposition Of Waves, Beats, Stationary Waves Explore 55 Videos WAVESBook:ICSEChapter:WAVESExercise:Doppler Effect, Musical, Sound, Noise Explore 26 Videos WAVESBook:ICSEChapter:WAVESExercise:Long Answer Questions Explore 16 Videos VECTORS SCALARS ELEMENTARY CALCULUS Boo...
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...
The pattern is stationary and is known as a standing wave. VI.C Reverberation When traveling waves are sent out in an enclosed space, they reflect from the walls and form a standing wave pattern in the space. This is a very simple description of a very complicated process in which waves ...
Full discretization of wave equation Download PDF Download PDF Research Open access Published: 07 August 2015Full discretization of wave equationAbderrazak Chaoui1, Fateh Ellaggoune2 & Assia Guezane-Lakoud3 Boundary Value Problems volume 2015, Article number: 133 (2015) Cite this ...