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Boa e má colocação para a equação de Schrödinger não-linear
(Universidade Federal de Minas GeraisUFMG, 2012-02-27)
The purpose of this work is to study well-posedness and ill-posedness of the initialvalue problem (IVP) for the nonlinear Schrödinger equation. In the first chapter, we present some important results of Harmonic Analysis ...
Boa colocação das equações de Navier-Stokes em espaços de Morrey
(Universidade Estadual Paulista (Unesp), 2017-02-22)
In this work we will analyze the Navier-Stokes equations in R^n, (n≤3) and we will show global well-posedness, when the initial velocity belongs to the Morrey space and with a sufficiently small norm. We will also show ...
Boa colocação da equação quase-geostrófica em Lp-fraco
(Universidade Estadual Paulista (Unesp), 2015-02-11)
In this work, we discuss the well-posedness of the initial value problem for the dissipative quasi-geostrophic equations. We show the existence of mild solution, when the initial data 0 belong to weak L 2 2 1 space with ...
Boa colocação da equação quase-geostrófica em Lp-fraco
(Universidade Estadual Paulista (UNESP), 2015)
Existência global para a equação periódica e dispersiva de Hunter-Saxton
(Universidade Federal de São CarlosUFSCarPrograma de Pós-Graduação em Matemática - PPGMCâmpus São Carlos, 2021-03-15)
In this master's thesis, we study the recent results about global existence for the integrable dispersive Hunter–Saxton equation in a periodic domain. Firstly, the local well-posedness of the Cauchy problem of the equation ...