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Relaxation oscillation in planar discontinuous piecewise smooth fast–slow systems
(2022-01-01)
This paper provides a geometric analysis of relaxation oscillations in the context of planar fast–slow systems with a discontinuous right-hand side. We give conditions that guarantee the existence of a stable crossing limit ...
Stability of solutions for nonlocal problems
(Pergamon-Elsevier Science Ltd, 2020-11)
In this paper we deal with the stability of solutions to fractional p-Laplace problems with nonlinear sources when the fractional parameter s goes to 1. We prove a general convergence result for general weak solutions which ...
Continuity of the dynamics in a localized large diffusion problem with nonlinear boundary conditions
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2009)
This paper is concerned with singular perturbations in parabolic problems subjected to nonlinear Neumann boundary conditions. We consider the case for which the diffusion coefficient blows up in a subregion Omega(0) which ...
Ideal evolution of magnetohydrodynamic turbulence when imposing Taylor-Green symmetries
(American Physical Society, 2013-01)
We investigate the ideal and incompressible magnetohydrodynamic (MHD) equations in three space dimensions for the development of potentially singular structures. The methodology consists in implementing the fourfold ...
Optimal a priori error estimates in weighted Sobolev spaces for the Poisson problem with singular sources
(EDP Sciences, 2021-08)
We study the problem -Δu=f, where f has a point-singularity. In particular, we are interested in f = δx0, a Dirac delta with support in x0, but singularities of the form f|x - x0|-s are also considered. We prove the stability ...
Se um viajante... Percursos e histórias sobre a formação de professores de matemática no Rio Grande do Norte
(Universidade Estadual Paulista (Unesp), 2017-02-17)
A intenção desta pesquisa foi compreender e elaborar versões históricas, a partir de diversas perspectivas documentais e testemunhais, de como se deu a formação dos professores que ensinavam matemática no estado do Rio ...
Mathematical Analysis of Recent Analytical Approximations to the Collapse of an Empty Spherical Bubble
(American Institute Of Physics, 2013-02)
We analyze the Rayleigh equation for the collapse of an empty bubble and provide an explanation for some recent analytical approximations to the model. We derive the form of the singularity at the second boundary point and ...
Improved geometric parameterisation techniques for continuation power flow
(Inst Engineering Technology-iet, 2010-12-01)
This study presents efficient geometric parameterisation techniques for the continuation power flow. The Jacobian matrix singularity is eliminated by the addition of the line equations which pass through the points in the ...