Boundary layer chemical vapor synthesis of self-organized radial filled-carbon-nanotube structures [PDF]
We report a new chemical vapor synthesis method that exploits random fluctuations in the viscous boundary layer between a laminar vapor flow and a surface to yield a not previously observed product: radial ferromagnetically filled-carbon-nanotube ...
Baxendale, M. +5 more
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Boundedness of Solutions for an Attraction–Repulsion Model with Indirect Signal Production
In this paper, we consider the following two-dimensional chemotaxis system of attraction–repulsion with indirect signal production 𝜕tu=Δu−∇·χ1u∇v1+∇·(χ2u∇v2),x∈R2,t>0,0=Δvj−λjvj+w,x∈R2,t>0,(j=1,2),𝜕tw+δw=u,x∈R2,t>0,u(0,x)=u0(x),w(0,x)=w0(x),x∈R2, where ...
Jie Wu, Yujie Huang
doaj +1 more source
On radial solutions for Monge–Ampère equations
Summary: In this paper, we obtain some new existence, uniqueness, and multiplicity results of radial solutions of an elliptic system coupled by Monge-Ampère equations using the fixed point theorem.
Ronghua LIU, Fanglei WANG, Yukun AN
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The Effects of Nonlinear Noise on the Fractional Schrödinger Equation
The aim of this work is to investigate the influence of nonlinear multiplicative noise on the Cauchy problem of the nonlinear fractional Schrödinger equation in the non-radial case.
Jin Xie, Han Yang, Dingshi Li, Sen Ming
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Existencia de Soluciones Radiales para Problemas Semilineales Elípticos Indefinidos
We study the existence of radial solutions of indefinite semilinear elliptic equations in the unit ball in Rn (n>=3) with Dirichlet boundary conditions, whose nonlinear term has the form lamda.m(|x|)f(u) where m(|.|) is radially symmetric, discontinuous ...
Marco Calahorrano, Israel Cevallos
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On kernel engineering via Paley–Wiener [PDF]
A radial basis function approximation takes the form $$s(x)=\sum_{k=1}^na_k\phi(x-b_k),\quad x\in {\mathbb{R}}^d,$$ where the coefficients a 1,…,a n are real numbers, the centres b 1,…,b n are distinct points in ℝ d , and the function φ:ℝ d →ℝ is ...
Baxter, Brad J.C., B. J. C. Baxter
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Classification of radial solutions to Liouville systems with singularities
25 ...
Lin, Chang-Shou, Zhang, Lei
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Radial symmetric solutions of the Cahn-Hilliard equation with degenerate mobility
In this paper we study the radial symmetric solutions of the two-dimensional Cahn-Hilliard equation with degenerate mobility. We adopt the method of parabolic regularization.
Jingxue Yin, Changchun Liu
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Radial functions and maximal estimates for radial solutions to the Schrodinger equation
The author establishes the following estimate for radial functions \(f\): If \(2\leq q\leq 8/3\), \(\alpha= q(2n-1)/4-n\), then \[ \Biggl(\int_{\mathbb{R}^n}| S^*f(x)|^q| x|^\alpha dx\Biggr)^{1/q}\leq C\| f\|_{H_{1/4}}, \] where the maximal functions \(S^*f\) is defined by \[ S^*f(x)= \sup_ ...
openaire +3 more sources
A note on the radial solutions for the supercritical Hénon equation
We prove the existence of a positive radial solution for the Hénon equation with arbitrary growth. The solution is found by means of a shooting method and turns out to be an increasing function of the radial variable. Some numerical experiments suggest the existence of many positive oscillating solutions.
BARUTELLO V, SECCHI S, SERRA, Enrico
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