Analysis of enhanced diffusion in Taylor dispersion via a model problem [PDF]
We consider a simple model of the evolution of the concentration of a tracer, subject to a background shear flow by a fluid with viscosity $\nu \ll 1$ in an infinite channel. Taylor observed in the 1950's that, in such a setting, the tracer diffuses at a
C. Eugene Wayne +7 more
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Guiding center dynamics as motion on a formal slow manifold in loop space [PDF]
Since the late 1950's, the dynamics of a charged particle's ``guiding center" in a strong, inhomogeneous magnetic field have been understood in terms of near-identity coordinate transformations. The basic idea has been to approximately transform away the
J. Burby
semanticscholar +1 more source
Radiation Reaction and Center Manifolds [PDF]
Summary: We study the effective dynamics of a mechanical particle coupled to a wave field and subject to the slowly varying potential \(V(\varepsilon q)\) with \(\varepsilon\) small. To lowest order in \(\varepsilon\) the motion of the particle is governed by an effective Hamiltonian.
Kunze, Markus, Spohn, Herbert
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The paper addresses the bifurcations for a delay differential model with parameters which confers a strong Allee effect in Escherichia coli. Stability and local Hopf bifurcations are analyzed when the delay τ or σ as parameter.
Qiubao Wang, Ruilan Tian
doaj +1 more source
Local and global asymptotic behavior of malaria-filariasis coinfections in compliant and noncompliant susceptible pregnant women to antenatal medical program in the tropics [PDF]
In this paper, a mathematical nonlinear model system of equations describing the dynamics of the co-interaction between malaria and filariasis epidemic affecting the susceptible host population of pregnant women in the tropics is formulated.
Oluwatayo M. Ogunmiloro
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Homoclinic chaos in the dynamics of a general Bianchi IX model [PDF]
The dynamics of a general Bianchi IX model with three scale factors is examined. The matter content of the model is assumed to be comoving dust plus a positive cosmological constant. The model presents a critical point of saddle-center-center type in the
A. E. Motter +25 more
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Global dynamics and inflationary center manifold and slow-roll approximants [PDF]
We consider the familiar problem of a minimally coupled scalar field with quadratic potential in flat Friedmann-Lemaitre-Robertson-Walker cosmology to illustrate a number of techniques and tools, which can be applied to a wide range of scalar field ...
A. Alho, C. Uggla
semanticscholar +1 more source
A Compact Bandpass Filter Manifold With Ultrawide Frequency and Bandwidth Tuning
This paper reports a comprehensive design methodology and a compact multilayer integration concept for a fully-reconfigurable bandpass filtering (BPF) manifold with simultaneous ultrawide center frequency and bandwidth (BW) tuning.
Mohammed R. A. Nasser +2 more
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Kinematic and dynamic vortices in a thin film driven by an applied current and magnetic field [PDF]
Using a Ginzburg-Landau model, we study the vortex behavior of a rectangular thin film superconductor subjected to an applied current fed into a portion of the sides and an applied magnetic field directed orthogonal to the film.
Hari, Lydia Peres +2 more
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Properties of center manifolds [PDF]
The center manifold has a number of puzzling properties associated with the basic questions of existence, uniqueness, differentiability and analyticity which may cloud its profitable application in e.g. bifurcation theory. This paper aims to deal with some of these subtle properties.
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