Results 31 to 40 of about 5,378,040 (354)

Approximate Solutions of the Damped Wave Equation and Dissipative Wave Equation in Fractal Strings

open access: yesFractal and Fractional, 2019
In this paper, we apply the local fractional Laplace variational iteration method (LFLVIM) and the local fractional Laplace decomposition method (LFLDM) to obtain approximate solutions for solving the damped wave equation and dissipative wave equation ...
Dumitru Baleanu, Hassan Kamil Jassim
doaj   +1 more source

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

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

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

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

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

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

Classification of radial solutions of the focusing, energy-critical wave equation [PDF]

open access: yes, 2012
In this paper, we describe the asymptotic behaviour of globally defined solutions and of bounded solutions blowing up in finite time of the radial energy-critical focusing non-linear wave equation in three space dimension.
Thomas Duyckaerts, C. Kenig, F. Merle
semanticscholar   +1 more source

The Bäcklund Transformations and Abundant Exact Explicit Solutions for a General Nonintegrable Nonlinear Convection-Diffusion Equation

open access: yesAbstract and Applied Analysis, 2012
The Bäcklund transformations and abundant exact explicit solutions for a class of nonlinear wave equation are obtained by the extended homogeneous balance method.
Yong Huang, Yadong Shang
doaj   +1 more source

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