Results 91 to 100 of about 344,248 (268)

Asymptotic Expansions of Fundamental Solutions in Parabolic Homogenization [PDF]

arXiv, 2017
For a family of second-order parabolic systems with rapidly oscillating and time-dependent periodic coefficients, we investigate the asymptotic behavior of fundamental solutions and establish sharp estimates for the remainders.
arxiv  

On the instability tongues of the Hill equation coupled with a conservative nonlinear oscillator [PDF]

, 2019
We study the asymptotics for the lengths $L_N(q)$ of the instability tongues of Hill equations that arise as iso-energetic linearization of two coupled oscillators around a single-mode periodic orbit. We show that for small energies, i.e. $q\rightarrow 0$, the instability tongues have the same behavior that occurs in the case of the Mathieu equation ...
arxiv   +1 more source

The Neumann problem in thin domains with very highly oscillatory boundaries

, 2013
In this paper we analyze the behavior of solutions of the Neumann problem posed in a thin domain of the type $R^\epsilon = \{(x_1,x_2) \in \R^2 \; | \; x_1 \in (0,1), \, - \, \epsilon \, b(x_1) < x_2 < \epsilon \, G(x_1, x_1/\epsilon^\alpha) \}$ with ...
Amirat, Ansini, Arrieta, Arrieta, Arrieta, Arrieta, Baía, Bensoussan, Blanchard, Blanchard, Boukrouche, Braides, Brizzi, Caillerie, Casado-Díaz, Chechkin, Cioranescu, Dal Maso, Damlamian, Hale, José M. Arrieta, Lewinsky, Marcone C. Pereira, Mel’nyk, Mel’nyk, Raugel, Sánchez-Palencia   +26 more
core   +1 more source

On classification of global dynamics for energy‐critical equivariant harmonic map heat flows and radial nonlinear heat equation

Communications on Pure and Applied Mathematics, EarlyView.
Abstract We consider the global dynamics of finite energy solutions to energy‐critical equivariant harmonic map heat flow (HMHF) and radial nonlinear heat equation (NLH). It is known that any finite energy equivariant solutions to (HMHF) decompose into finitely many harmonic maps (bubbles) separated by scales and a body map, as approaching to the ...
Kihyun Kim, Frank Merle
wiley   +1 more source

Synchronization of oscillators not sharing a common ground [PDF]

arXiv, 2020
Networks of coupled LC oscillators that do not share a common ground node are studied. Both resistive coupling and inductive coupling are considered. For networks under resistive coupling, it is shown that the oscillator-coupler interconnection has to be bilayer if the oscillator voltages are to asymptotically synchronize.
arxiv  

Revisiting asymptotic periodicity in networks of degrade-and-fire oscillators [PDF]

, 2018
Networks of degrade-and-fire oscillators are elementary models of populations of synthetic gene circuits with negative feedback, which show elaborate phenomenology while being amenable to mathematical analysis. In addition to thorough investigation in various examples of interaction graphs, previous studies have obtained conditions on interaction ...
arxiv   +1 more source

Criticality for branching processes in random environment

, 2005
We study branching processes in an i.i.d. random environment, where the associated random walk is of the oscillating type. This class of processes generalizes the classical notion of criticality.
Afanasyev, V. I., Geiger, J., Kersting, G., Vatutin, V. A.   +3 more
core   +1 more source

Short Wavelength Limit of the Dynamic Matsubara Local Field Correction

Contributions to Plasma Physics, EarlyView.
ABSTRACT We investigate the short wavelength limit of the dynamic Matsubara local field correction G˜q,zl$$ \tilde{G}\left(\mathbf{q},{z}_l\right) $$ of the uniform electron gas based on direct ab initio path integral Monte Carlo (PIMC) results over an unprecedented range of wavenumbers, q≲20qF$$ q\lesssim 20{q}_{\mathrm{F}} $$, where qF$$ {q}_{\mathrm{
Tobias Dornheim, Panagiotis Tolias, Zhandos A. Moldabekov, Jan Vorberger   +3 more
wiley   +1 more source

Non-local elasticity theory as a continuous limit of 3D networks of pointwise interacting masses [PDF]

arXiv, 2018
Small oscillations of an elastic system of point masses (particles) with a nonlocal interaction are considered. We study the asymptotic behavior of the system, when number of particles tends to infinity, and the distances between them and the forces of interaction tends to zero. The first term of the asymptotic is described by the homogenized system of
arxiv  

Construction of cosmologically viable f(G) gravity models

, 2008
We derive conditions under which f(G) gravity models, whose Lagrangian densities f are written in terms of a Gauss-Bonnet term G, are cosmologically viable.
De Felice, Antonio, Tsujikawa, Shinji
core   +1 more source