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Open problems in local discrete holomorphic dynamics
local discrete holomorphic dynamics Dynamical Systems
2011/9/20
Abstract: This paper contains a selection, dictated by personal taste and by no means complete, of open problems in local discrete holomorphic dynamics.
Dynamics of random selfmaps of surfaces with boundary
periodic points generic properities surface remnant asymptotic density Nielsen theory entropy
2011/9/16
Abstract: We use Wagner's algorithm to estimate the number of periodic points of certain selfmaps on compact surfaces with boundary. When counting according to homotopy classes, we can use the asympto...
A simple linear response closure approximation for slow dynamics of a multiscale system with linear coupling
closure approximation slow dynamics multiscale system linear coupling
2011/9/14
Abstract: Many applications of contemporary science involve multiscale dynamics, which are typically characterized by the time and space scale separation of patterns of motion, with fewer slowly evolv...
Interface dynamics of the porous medium equation with a bistable reaction term
degenerate diffusion singular perturbation sharp interface limit population dynamics
2011/9/14
Abstract: We consider a degenerate partial differential equation arising in population dynamics, namely the porous medium equation with a bistable reaction term. We study its asymptotic behavior as a ...
A power law of order 1/4 for critical mean-field Swendsen-Wang dynamics
critical mean-field Swendsen-Wang dynamics Probability
2011/9/9
Abstract: The Swendsen-Wang dynamics is a Markov chain widely used by physicists to sample from the Boltzmann-Gibbs distribution of the Ising model. Cooper, Dyer, Frieze and Rue proved that on the com...
Dynamics of stochastic non-Newtonian fluids driven by fractional Brownian motion with Hurst parameter $H \in (1/4,1/2)$
fractional Brownian motion stochastic non-Newtonian fluid random attractor
2011/9/6
Abstract: In this paper we consider the Stochastic isothermal, nonlinear, incompressible bipolar viscous fluids driven by a genuine cylindrical fractional Bronwnian motion with Hurst parameter $H \in ...
Dissipative dynamics in semiconductors at low temperature
Dissipative dynamics semiconductors low temperature Functional Analysis
2011/8/26
Abstract: A mathematical model is introduced which describes the dissipation of electrons in lightly doped semi-conductors. The dissipation operator is proved to be densely defined and positive and to...
On the Production of Dissipation by Interaction of Forced Oscillating Waves in Fluid Dynamics
Equations of mixed hyperbolic and parabolic type oscillations BKW Calculus stability
2011/8/25
Abstract: In the context of some bidimensionnal Navier-Stokes model, we exhibit a family of exact oscillating solutions $\{u_{\epsilon}\}_{\epsilon}$ defined on some strip $[0,T]\times\R^2$ which does...
Chemotaxis: from kinetic equations to aggregate dynamics
duality solutions non local conservation equations hydrodynamic limit measure-valued solutions chemotaxis
2011/8/25
Abstract: The hydrodynamic limit for a kinetic model of chemotaxis is investigated. The limit equation is a non local conservation law, for which finite time blow-up occurs, giving rise to measure-val...
Classical dynamics and particle transport in kicked billiards
Classical dynamics particle transport kick source momentum
2011/7/6
We study nonlinear dynamics of the kicked particle whose motion is confined by square billiard. The kick source is considered as localized at the center of square with central symmetric spatial distri...
Dynamics of Vortex Dipoles in Confined Bose-Einstein Condensates
Confined Bose-Einstein Condensates Vortex Dipoles Dynamics
2011/7/7
We present a systematic theoretical analysis of the motion of a pair of straight counter-rotating vortex lines within a trapped Bose-Einstein condensate. We introduce the dynamical equations of motion...
Finite-temperature nonlinear dynamics in cavity QED: A Thermofield Dynamics Approach
cavity QED Finite-temperature nonlinear dynamics Thermofield Dynamics Approach
2011/7/7
Heath-bath effects in the dynamics of atom + cavity system are studied. The temperature effects are explored using thermofield dynamics formalism. It is found that the dynamics of the system is sensit...
The Tibetan singing bowl: acoustics and fluid dynamics
Tibetan singing bowl acoustics fluid dynamics
2011/7/7
We present the results of an experimental investigation of the acoustics and fluid dynamics of Tibetan singing bowls. Their acoustic behavior is rationalized in terms of the related dynamics of standi...
Nonlinear dynamics of two coupled nano-electromechanical resonators
Nonlinear dynamics coupled nano-electromechanical resonators
2011/7/6
As a model of coupled nano-electromechanical resonantors we study two nonlinear driven oscillators with an arbitrary coupling strength between them. Analytical expressions are derived for the oscillat...
Periodically driven dynamics of a particle moving in the field of Coulomb plus confining potential
Periodically driven dynamics Coulomb plus confining potential
2011/7/7
Periodically driven dynamics of a particle moving in the field Coulomb plus confining potential is treated for one and three dimensional cases. Critical value of the external field strength at which c...