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O problema de Cauchy para a equação da onda cúbica
(Universidade Federal de São Carlos, 2011-05-27)
In this work, we study the result of global well-Posedness for the cubic wave equation @2 t u��_u+u3 = 0 in R_R3, where the Cauchy data is in the Sobolev space Hs(R3)_ Hs��1(R3) with 13 18 < s ...
Teoria de Littlewood-Paley e o problema de Cauchy para a equação da onda cúbica
(Universidade Federal de São Carlos, 2010-07-08)
In this work, we study the result of well-posedness for the cubic wave equation
u + u3 = 0 in R3, due to H. Bahouri e J.-Y. Chemin, where the Cauchy data is in
the Homogeneous Sobolev space ̇H3/4(R3) × ̇H−1/4(R3). The ...
Bifurcação e estabilidade de equilíbrios de um problema de Neumann parabólico com peso indefinido em genética populacional
(Universidade Federal de São Carlos, 2015-03-30)
This work is concerned with a semilinear parabolic partial differential equation under a homogeneous Neumann boundary condition occuring in population genetics. It describes the evolution of gene frequencies under selection ...
Taxa de atração para equações de reação-difusão com difusão grande localizada
(Universidade Federal de São Carlos, 2013-03-07)
In this work we study the nonlinear asymptotical dynamics of a semilinear reactiondiffusion equation of parabolic type, when the diffusion coefficient becomes very large in a subregion Ω0 which is interior to the ...
Estimativa de energia no infinito para equações hiperbólicas com coeficientes oscilantes
(Universidade Federal de São Carlos, 2012-08-10)
We study the behavior, as t ∞, of the energy for the solutions of the Cauchy problem for some strictly hyperbolic linear second order equations with coeficients very rapidly oscillating.
Continuidade de atratores para problemas parabólicos semilineares sob perturbações do domínio
(Universidade Federal de São Carlos, 2013-03-14)
In this work we will obtain the continuity of attractors for semilinear parabolic problems with Neumann boundary conditions relatively to perturbations of the domain. We will show that, if the perturbations on the domain ...
Leis de conservacão escalar: fórmula explícita e unicidade
(Universidade Federal de São Carlos, 2011-03-23)
We study scalar conservation laws, with the deduction of an explicit formula of a smooth solution with compact support, we also present the behavior of the solution given by the formula when the initial value is zero outside ...