Results 21 to 30 of about 7,153,382 (318)

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   +2 more sources

Nonautonomous Retarded Wave Equations

open access: yesJournal of Mathematical Analysis and Applications, 2001
In the present paper the authors study the existence and uniqueness of \(C^2\) solutions to nonautonomous retarded wave equations with memory effects. To this end the authors first tackle the well-posedness problem for a class of Volterra nonautonomous retarded differential equations in a Banach space.
RHANDI, Abdelaziz, MANIAR L.
openaire   +3 more sources

Compact difference schemes for the modified anomalous fractional sub-diffusion equation and the fractional diffusion-wave equation [PDF]

open access: yesJournal of Computational Physics, 2013
In this paper, compact finite difference schemes for the modified anomalous fractional sub-diffusion equation and fractional diffusion-wave equation are studied.
Zhibo Wang, Seakweng Vong
semanticscholar   +1 more source

Wave polynomials, transmutations and Cauchy's problem for the Klein-Gordon equation [PDF]

open access: yes, 2012
We prove a completeness result for a class of polynomial solutions of the wave equation called wave polynomials and construct generalized wave polynomials, solutions of the Klein-Gordon equation with a variable coefficient.
Barrodale   +44 more
core   +1 more source

On the Fractional Wave Equation

open access: yesMathematics, 2020
In this paper we study the time-fractional wave equation of order 1
Francesco Iafrate, Enzo Orsingher
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

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

Channels of energy for the linear radial wave equation [PDF]

open access: yes, 2014
Exterior channel of energy estimates for the radial wave equation were first considered in three dimensions by Duyckaerts, the first author, and Merle, and recently for the 5-dimensional case by the first, second, and fourth authors.
C. Kenig   +3 more
semanticscholar   +1 more source

Stability analysis of the soliton solutions for the generalized quintic derivative nonlinear Schrödinger equation

open access: yesResults in Physics, 2016
The propagation of hydrodynamic wave packets and media with negative refractive index is studied in a quintic derivative nonlinear Schrödinger (DNLS) equation.
Chen Yue, Aly Seadawy, Dianchen Lu
doaj   +1 more source

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