Results 11 to 20 of about 9,396 (291)
Gravity solitary waves with polynomial decay to exponentially small ripples at infinity
In this paper, we study the travelling gravity waves of velocity c in a system of two layers of perfect fluids, the bottom one being infinitely deep, the upper one having a finite thickness h .
Lombardi, Eric, Iooss, Gérard
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Asymptotic structure of a massless scalar field and its dual two-form field at spatial infinity
Relativistic field theories with a power law decay in r −k at spatial infinity generically possess an infinite number of conserved quantities because of Lorentz invariance.
Marc Henneaux, Cédric Troessaert
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Matching conditions relating the fields at the future of past null infinity with the fields at the past of future null infinity play a central role in the analysis of asymptotic symmetries and conservation laws in asymptotically flat spacetimes.
Oscar Fuentealba, Marc Henneaux
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The Poisson equation on Riemannian manifolds with weighted Poincaré inequality at infinity [PDF]
We prove an existence result for the Poisson equation on non-compact Riemannian manifolds satisfying weighted Poincaré inequalities outside compact sets.
Monticelli D. D., Catino G., Punzo F.
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Fourier spectra of measures associated with algorithmically random Brownian motion [PDF]
In this paper we study the behaviour at infinity of the Fourier transform of Radon measures supported by the images of fractal sets under an algorithmically random Brownian motion.
Willem Louw Fouché +2 more
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Solving boundary value problem with semi-infinite domain in a conventional way or using some of the available approximate methods poses a lot of challenges or better still seems almost impossible over the years, and some of the alternative ways for ...
EMMANUEL AKINOLA +3 more
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This paper is concerned with nonlocal diffusion systems of three species with delays. By modified version of Ikehara’s theorem, we prove that the traveling wave fronts of such system decay exponentially at negative infinity, and one component of such ...
Meiping Yao, Pengzhi Qiao, Yang Wang
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This article investigates the spatial behavior of the solutions of the Brinkman equations in a semi-infinite cylinder. We no longer require the solutions to satisfy any a priori assumptions at infinity.
Li Yuanfei, Chen Xuejiao
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Decay at infinity of caloric functions within characteristic hyperplanes [PDF]
It is shown that a function $u$ satisfying, $|Δu+\partial_tu|\le M(|u|+|\nabla u|)$, $|u(x,t)|\le Me^{M|x|^2}$ in $\R^n\times [0,T]$ and $|u(x,0)|\le C_ke^{-k|x|^2}$ in $\R^n$ and for all $k\ge 1$, must vanish identically in $\R^n\times [0,T]$.
Escauriaza, L. +3 more
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Properties of the Lindemann mechanism in phase space
We study the planar and scalar reductions of the nonlinear Lindemann mechanism of unimolecular decay. First, we establish that the origin, a degenerate critical point, is globally asymptotically stable. Second, we prove there is a unique scalar solution (
M. S. Calder, D. Siegel
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