Zobrazeno 1 - 10 of 98 pro vyhledávání: '"Floyd L. Williams"'
1
Akademický článek
From a magnetoacoustic system to a J-T black hole: A little trip down memory lane
Autor: Floyd L. Williams
Publikováno v: Communications in Analysis and Mechanics, Vol 15, Iss 3, Pp 342-361 (2023)
We assign a Riemannian metric to a system of nonlinear equations that describe the one-dimensional propagation of long magnetoacoustic waves (also called magnetosonic waves) in a cold plasma under the inference of a transverse magnetic field. The met
Externí odkaz: https://doaj.org/article/b4f97f77166f4d5d917a174543650155
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2
Akademický článek
Exploring a Cold Plasma-2d Black Hole Connection
Autor: Floyd L. Williams
Publikováno v: Advances in Mathematical Physics, Vol 2019 (2019)
Using a resonance nonlinear Schrödinger equation as a bridge, we explore a direct connection of cold plasma physics to two-dimensional black holes. Namely, we compute and diagonalize a metric attached to the propagation of magnetoacoustic waves in a
Externí odkaz: https://doaj.org/article/6351f604772b45d79ebb7fa40a06882b
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3
Akademický článek
Elliptic Function Solutions in Jackiw-Teitelboim Dilaton Gravity
Autor: Jennie D’Ambroise, Floyd L. Williams
Publikováno v: Advances in Mathematical Physics, Vol 2017 (2017)
We present a new family of solutions for the Jackiw-Teitelboim model of two-dimensional gravity with a negative cosmological constant. Here, a metric of constant Ricci scalar curvature is constructed, and explicit linearly independent solutions of th
Externí odkaz: https://doaj.org/article/3efeee064a9a46c39d2be175f2e93f62
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5
Relating Some Nonlinear Systems to a Cold Plasma Magnetoacoustic System
Autor: Floyd L. Williams, Jennie D'Ambroise
Publikováno v: Journal of Modern Physics. 11:886-906
Using a Gurevich-Krylov solution that describes the propagation of nonlinear magnetoacoustic waves in a cold plasma, we construct solutions of various other nonlinear systems. These include, for example, Madelung fluid, reaction diffusion, Broer-Kaup
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::f640ae6d54640a55a18fec2c667e3954
https://doi.org/10.4236/jmp.2020.116054
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7
Elektronická kniha
Some Musings on Theta, Eta, and Zeta : From E8 to Cold Plasma to an Lnhomogeneous Universe
Autor: Floyd L. Williams
This book continues the applications of mathematics, more specifically of theta, eta, and zeta functions, and modular forms, to various areas of theoretical physics. It is a follow-up and extension in some sense of the author's earlier book entitled
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9
Minakshisundaram–Pleijel coefficients for non-compact higher rank symmetric spaces
Autor: Floyd L. Williams
Publikováno v: Analysis and Mathematical Physics. 10
We assign to a non-compact Riemannian symmetric space X a theta function and a zeta function. We compute all of the Minakshisundaram–Pleijel coefficients in a short-time asymptotic expansion of the theta function especially when X is of complex typ
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::b959fc32fd1e017702da9623c202693b
https://doi.org/10.1007/s13324-020-00396-x
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10
Parametric Solution of Certain Nonlinear Differential Equations in Cosmology
Autor: Jennie D'Ambroise, Floyd L. Williams
Publikováno v: Journal of Nonlinear Mathematical Physics. 18:269
We obtain in terms of the Weierstrass elliptic $\wp-$function, sigma function, and zeta function an explicit parametrized solution of a particular nonlinear, ordinary differential equation. This equation includes, in special cases, equations that occ
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8043fee2dc417e7beccba8f7cd1e154e
https://doi.org/10.1142/s140292511100143x
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