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Local attractors, degeneracy and analyticity: Symmetry effects on the locally coupled Kuramoto model
(2013-04-02)
In this work we study the local coupled Kuramoto model with periodic boundary conditions. Our main objective is to show how analytical solutions may be obtained from symmetry assumptions, and while we proceed on our endeavor ...
CORRECTORS FOR THE NEUMANN PROBLEM IN THIN DOMAINS WITH LOCALLY PERIODIC OSCILLATORY STRUCTURE
(Brown Univ, 2015-01-01)
In this paper we are concerned with convergence of solutions of the Poisson equation with Neumann boundary conditions in a two-dimensional thin domain exhibiting highly oscillatory behavior in part of its boundary. We deal ...
The best Sobolev trace constant in periodic media for critical and subcritical exponents
(Cambridge University Press, 2009-09)
In this paper we study homogenisation problems for Sobolev trace embedding H1(Ω) ↪ Lq(∂Ω) in a bounded smooth domain. When q = 2 this leads to a Steklov-like eigenvalue problem. We deal with the best constant of the Sobolev ...
Cascades of Hopf bifurcations from boundary delay
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2010)
We consider a 1-dimensional reaction-diffusion equation with nonlinear boundary conditions of logistic type with delay. We deal with non-negative solutions and analyze the stability behavior of its unique positive equilibrium ...
Homogenization Techniques for Improving the Calculations of Scattering by 1-D Fast Oscillating Periodic Surfaces
(2019)
This paper deals with the efficient computation of scattering problems by fast oscillating periodic surfaces using two-scale expansion homogenization techniques. The proposed method splits the field between an effective ...
Fourier continuation method for incompressible fluids with boundaries
(Elsevier Science, 2020-11)
We present a Fourier Continuation-based parallel pseudospectral method for incompressible fluids in cuboid non-periodic domains. The method produces dispersionless and dissipationless derivatives with fast spectral convergence ...
The spectrum of p-Laplacian systems with various boundary conditions and applications
(2000)
Let p>1, and ψp:RN→R,v↦|v|p−2v, with |v| the Euclidian norm of v. This paper is devoted to the study of the corresponding eigenvalue problem (ψp(u′))′+λψp(u)=0, under the Dirichlet, Neumann and periodic boundary conditions. ...
Route to chaos and some properties in the boundary crisis of a generalized logistic mapping
(2017-11-15)
A generalization of the logistic map is considered, showing two control parameters α and β that can reproduce different logistic mappings, including the traditional second degree logistic map, cubic, quartic and all other ...