Results 21 to 30 of about 994,574 (330)
Normal solutions of the Beltrami equation
A homeomorphism f is said to be quasiconformal, with given complex dilatation μ, in a domain G of the complex plane, if it satisfies the Beltrami equation fz, = μfz, (1) where μ =μ(z) is a complex-valued measurable function on G with μ< k< 1, and fz=1/2(fx-ify), fz = 1/2(fx + ify).
W.R Derrick, Joseph A. Cima
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The Steady Motion of a Symmetric, Finite Core Size, Counterrotating Vortex Pair [PDF]
The steady motion of a symmetric, finite core size, counterrotating vortex pair is characterized by circulation r, a velocity V, and a spacing 2x_∞. In the classical limit of a point vortex, the normalized velocity, vx_∞/r, is 1/(4π).
Kubota, Toshi, Yang, Joseph
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On Iterative Solution of the Extended Normal Equations [PDF]
Given a full-rank matrix $A \in \mathbb{R}^{m\times n}$ ($m\geq n$), we consider a special class of linear systems $A^T\! Ax=A^T\!
Henri Calandra+3 more
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Effective-Mass Klein-Gordon-Yukawa Problem for Bound and Scattering States [PDF]
Bound and scattering state solutions of the effective-mass Klein-Gordon equation are obtained for the Yukawa potential with any angular momentum $\ell$.
Abramowitz M.+3 more
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Normalized solutions for nonlinear Kirchhoff type equations in high dimensions
We study the normalized solutions for nonlinear Kirchhoff equation with Sobolev critical exponent in high dimensions $ \mathbb{R}^N(N\geqslant4) $. In particular, in dimension $ N = 4 $, there is a special phenomenon for Kirchhoff equation that the mass ...
Lingzheng Kong, Haibo Chen
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THE ABUSE OF NORMAL SALT SOLUTION [PDF]
The presence of a relatively large proportion of sodium chlorid in our bodies harks back to the composition of sea-water at the time when our ancestors were ameboid inhabitants of the primeval ocean. To a certain amount of sodium chlorid our organisms are habituated, and that amount has become essential to our well-being; larger amounts, however, are ...
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Normalized solutions for a critical fractional Choquard equation with a nonlocal perturbation
In this article, we study the fractional critical Choquard equation with a nonlocal perturbation: (−Δ)su=λu+α(Iμ*∣u∣q)∣u∣q−2u+(Iμ*∣u∣2μ,s*)∣u∣2μ,s*−2u,inRN,{\left(-{\Delta })}^{s}u=\lambda u+\alpha \left({I}_{{\mu }^{* }}\hspace{-0.25em}{| u| }^{q}){| u|
Lan Jiali, He Xiaoming, Meng Yuxi
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Normalized solutions for a coupled Schrödinger system [PDF]
27 pages, 1 ...
Xuexiu Zhong+2 more
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Maximum solutions of normalized Ricci flows on 4-manifolds
We consider maximum solution $g(t)$, $t\in [0, +\infty)$, to the normalized Ricci flow. Among other things, we prove that, if $(M, \omega) $ is a smooth compact symplectic 4-manifold such that $b_2^+(M)>1$ and let $g(t),t\in[0,\infty)$, be a solution to (
A.L. Besse+28 more
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Quantum parametric resonance [PDF]
The quantum mechanical equivalent of parametric resonance is studied. A simple model of a periodically kicked harmonic oscillator is introduced which can be solved exactly.
Weigert, S.
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