Results 41 to 50 of about 5,337,814 (354)

One-Way Wave Operator

open access: yesAcoustics, 2022
The second-order partial differential wave Equation (Cauchy’s first equation of motion), derived from Newton’s force equilibrium, describes a standing wave field consisting of two waves propagating in opposite directions, and is, therefore, a “two-way ...
Hans-Joachim Raida
doaj   +1 more source

Wave equation is NOT an electromagnetic wave equation

open access: yes, 2021
It is shown that the wave equation only in the first approximation can be considered the equation of an electromagnetic wave, and and therefore it is offered a new equation is proposed for electromagnetic wave, which also follows from the system of Maxwell's equations.
openaire   +3 more sources

GW170817: Measurements of Neutron Star Radii and Equation of State. [PDF]

open access: yesPhysical Review Letters, 2018
On 17 August 2017, the LIGO and Virgo observatories made the first direct detection of gravitational waves from the coalescence of a neutron star binary system.
B. Abbott   +499 more
semanticscholar   +1 more source

Semi-linear wave equations [PDF]

open access: yesBulletin of the American Mathematical Society, 1992
We survey existence and regularity results for semi-linear wave equations. In particular, we review the recent regularity results for the u 5 {u^5} -Klein Gordon equation by Grillakis and this author and give a self-contained, slightly simplified proof.
openaire   +3 more sources

Quantitative Mode Stability for the Wave Equation on the Kerr Spacetime [PDF]

open access: yes, 2013
We give a quantitative refinement and simple proofs of mode stability type statements for the wave equation on Kerr backgrounds in the full sub-extremal range (|a|
Yakov Shlapentokh-Rothman
semanticscholar   +1 more source

On the Stability of Wave Equation [PDF]

open access: yesAbstract and Applied Analysis, 2013
We prove the generalized Hyers-Ulam stability of the wave equation,Δu=(1/c2)utt, in a class of twice continuously differentiable functions under some conditions.
openaire   +4 more sources

The Wave Equation for a Moving Source and a Moving Receiver

open access: yesMathematics
The ordinary 3D wave equation for nondissipative, homogeneous, isotropic media admits solutions where the point sources are permitted to move, but as shown in this paper, it does not admit solutions where the receiver is allowed to move. To overcome this
Hrvoje Dodig
doaj   +1 more source

Exact Solutions for a New Nonlinear KdV-Like Wave Equation Using Simplest Equation Method and Its Variants

open access: yesJournal of Applied Mathematics, 2014
The simplest equation method presents wide applicability to the handling of nonlinear wave equations. In this paper, we focus on the exact solution of a new nonlinear KdV-like wave equation by means of the simplest equation method, the modified simplest ...
Yinghui He, Yun-Mei Zhao, Yao Long
doaj   +1 more source

Numerical study on the generation and evolution of the super-rogue waves

open access: yesJournal of Ocean Engineering and Science, 2016
The super-rogue wave solutions of the nonlinear Schrödinger equation (NLS) are numerically studied based on the weakly nonlinear hydrodynamic equation. The super-rogue wave solutions up to the 5th order, also known as the so-called super-rogue waves, are
Jianmin Yang, Wenyue Lu
doaj   +1 more source

Global solutions of wave equations with multiple nonlinear source terms under acoustic boundary conditions

open access: yesBoundary Value Problems, 2021
Under the acoustic boundary conditions, the initial boundary value problem of a wave equation with multiple nonlinear source terms is considered. This paper gives the energy functional of regular solutions for the wave equation and proves the decreasing ...
Shoubo Jin, Jian Li
doaj   +1 more source

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