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Indicadores equilibrados de erro em funcional de interesse para aproximação de problemas elípticos e parabólicos pelo método de Galerkin descontínuo
(Universidade Federal de Santa CatarinaLondrinaBrasilPrograma de Pós-Graduação em Matemática Pura e AplicadaUFSC, 2018-03)
This thesis presents theoretical and practical results on equilibrated error indicators for functional of interest in the approximation of linear elliptic problems and linear and non-linear parabolic problems by the ...
Monotone waves for non-monotone and non-local monostable reaction-diffusion equations
(2016)
We propose a new approach for proving existence of monotone wavefronts in non-monotone and non local monostable diffusive equations. This allows to extend recent results established for the particular case of equations ...
Controllability and stabilizability of linear time-varying distributed hereditary control systems
(2014)
This paper is concerned with the controllability and stabilizability problem for control systems described by a time-varyinglinear abstract differential equation with distributed delay in the state variables. An approximate ...
Galoisian and numerical approach of three dimensional linear differential systems with skew symmetric matrices defined in a non- constant differential field
(Editorial board, 2018-01)
This work contrasts numerical methods with algebraic methods. These methods are applied
to solve a three dimensional linear differential system with skew symmetric matrices
defined in a non- constant differential field. ...
Mechanisms of localised pattern formation in systems governed by partial differential equations.Mechanisms of localised pattern formatión in systems governed by partial differential equatións.
(2018)
This thesis studies the time-independent solutions of systems of partial differential equations
given by reaction-diffusion models. The study is motivated by two different contexts: non-linear
optics and cellular ...
Limit Cycles For Quadratic And Cubic Planar Differential Equations Under Polynomial Perturbations Of Small Degree
(Amer Inst Mathematical Sciences-AIMSSpringfield, 2017)
Stability And Decay Properties Of Solitary-wave Solutions To The Generalized Bo-zk Equation
(KHAYYAM PUBL CO INCATHENS, 2015)
Nonuniform almost reducibility of nonautonomous linear differential equations
(Elsevier, 2020)
We prove that a linear nonautonomous differential system with nonuniform hyperbolicity on the half line can be written as diagonal system with a perturbation which is small enough. Moreover we show that the diagonal terms ...