Atratores para equações da onda amortecida em domínios arbitrários

Nogueira, Ariadne

doi:10.11606/D.55.2013.tde-07062013-103314

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Master's Dissertation

DOI

https://doi.org/10.11606/D.55.2013.tde-07062013-103314

Document

Master's Dissertation

Author

Nogueira, Ariadne (Catálogo USP)

Full name

Ariadne Nogueira

Institute/School/College

Instituto de Ciências Matemáticas e de Computação

Knowledge Area

Mathematics

Date of Defense

2013-03-26

Published

São Carlos, 2013

Supervisor

Carbinatto, Maria do Carmo (Catálogo USP)

Committee

Carbinatto, Maria do Carmo (President)
Gentile, Claudia Buttarello
Soares, Sérgio Henrique Monari

Title in Portuguese

Atratores para equações da onda amortecida em domínios arbitrários

Keywords in Portuguese

Atratores globais
Equações da onda amortecida
Equações de evolução
Estimativas de truncamento

Abstract in Portuguese

Nesse trabalho apresentamos o estudo do artigo [25] que analisa a existência de atratores globais para uma classe de equações da onda amortecida da forma 'épsilon u IND. tt' + 'alpha' (x) u IND. t' + 'BETA' (x)u - '\SIGMA SOBRE i, j' '\PARTIAL ind. I' ('a IND. i j' (x) 'PARTIAL IND. j u') = f(x, u) , x PERTENCE A ÔMEGA'', t 'PERTENCE A' [0,'infinito'), u (x, t) = 0, x 'PERTENCE A' '\PARTIAL ÔMEGA', t 'PERTENCE A' [0, 'infinito') definidas em um domínio arbitrário 'ÔMEGA'

Title in English

Attractors for damped wave equations on an arbitrary domain

Keywords in English

Damped wave equations
Global attractors
Tail-estimates

Abstract in English

In this work we describe the results of the paper [25]. In [25] the authors prove existence of global attractors for the following semilinear damped wave equation '\épsilon u IND. t't + 'alpha'(x)u IND. t' + 'beta' (x)u - '\SIGMA SOBRE i, j '\PARTIAL IND. i' ('a IND. i j' (x) '\PARTIAL IND. j u') = f (x, u), x 'IT BELONGS' 'ÔMEGA', t 'IT BELONGS' [0, 'INFINITY'), u(x,t), x 'IT BELONGS' '\PARTIAL ÔMEGA', t 'IT BELONGS' [), 'INFINITY'0 on an arbitrary domain 'OMEGA'

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Publishing Date

2013-06-07

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