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ERRATUM:BOSE–EINSTEIN CONDENSATION BEYOND MEAN FIELD:MANY-BODY BOUND STATE OF PERIODIC MICROSTRUCTURE
Bose–Einstein condensation homogenization many-body perturbation theory two-scale expansion singular perturbation mean field limit bound state
2015/10/16
This is a correction to the author’s article [Multiscale Model. Simul.,10 (2012), pp.383–417].
Homogenization of a Hele-Shaw problem in periodic and random media
Free boundary problem Hele-Shaw equation Obstacle problem Viscosity solution Homogenization
2015/10/15
We investigate the homogenization limit of a free boundary problem with space-dependent free boundaryvelocities. The problem under consideration has a well-known obstacle problem transformation, forma...
The logarithmic delay of KPP fronts in a periodic medium
logarithmic delay KPP fronts periodic medium
2015/7/14
We consider solutions of the KPP-type equations with a periodically varying reaction rate, and compactly supported initial data. It has been shown by Bramson [5, 6] in the case of the constant reactio...
KPP invasions in periodic media:lecture notes for the Toulouse KPP school
KPP invasions periodic media Toulouse KPP
2015/7/14
KPP invasions in periodic media:lecture notes for the Toulouse KPP school.
Periodic Time Series Data Analysis.
A continuum of periodic solutions to the planar four-body problem with various choices of masses
periodic solutions planar four-body problem various choices of masses
2015/3/18
A continuum of periodic solutions to the planar four-body problem with various choices of masses.
Integrability and non-integrability of periodic non-autonomous Lyness recurrences
Periodic di erence equations integrability non-integrability
2011/2/25
This paper studies non-autonomous Lyness type recurrences of the form xn+2 =(an + xn)=xn+1, where fangn is a k-periodic sequence of positive numbers with prime period k. We show that for the cases k 2...
Resonant cyclotron acceleration of particles by a time periodic singular flux tube
cyclotron particles periodic singular flux tube
2010/11/8
We study the dynamics of a classical nonrelativistic charged particle moving on a punctured plane under the influence of a homogeneous magnetic field and driven by a periodically time-dependent singu...
Absolute continuity of the spectrum of the periodic Schrödinger operator in a layer and in a smooth cylinder
spectrum the periodic Schrö dinger operator layer smooth cylinder
2010/11/11
We consider the Schr\"odinger operator $H = -\Delta + V$ in a layer or in a $d$-dimensional cylinder. The potential $V$ is assumed to be periodic with respect to some lattice. We establish the absolu...
Suppose a smooth planar curve $\gamma$ is $2\pi$-periodic in the $x$ direction and the length of one period is $\ell$. It is shown that if $\gamma$ self-intersects, then it has a segment of length $\...
On the multiplicity of non-iterated periodic billiard trajectories
Billiards Morse theory Iteration of periodic trajectories
2011/2/28
We introduce the iteration theory for periodic billiard trajectories in a compact and convex domain of the Euclidean space, and we apply it to establish a multiplicity result for non-iterated trajecto...
Dichotomy and periodic solutions of a kind of integro-differential equations
Periodic solution (h, k)-dichotomy integro-differential equations
2010/9/14
In the present paper, we investigate some important properties of (h, k)-dichotomy. rthermore, we study the higher dimensional periodic system
Periodic boundary value problem for second order ordinary differential equations
Boundary value problems periodic solution
2010/9/10
In this paper we study the periodic boundary value problem for a nonlinear ordinary differential equation of second order. We give sufficient and necessary conditions for the existence of periodic sol...
Permanence and periodic solution for a predator-prey model with mixed-type functional response
Predator-prey model mixed-type functional response
2010/9/14
In this paper, a predator-prey model with mixed-type functional response is investigated. Sufficient conditions are derived that guarantee the permanence of the system. Meanwhile, when the system is p...
Dynamic analysis of a SI system with periodic biological and chemical control
SI system extinction permanence
2010/9/15
In this paper, we consider a SI system with spraying microbial pesticide and releasing the infected pests, the infected pests have the function similar to the microbial pesticide and can infect the he...