Soluções analíticas da equação de Burgers aplicada à formação de estruturas no Universo

AUTOR(ES)
DATA DE PUBLICAÇÃO

2008

RESUMO

The Burgers equation has been applied to several fields of scientific knowledge, and particularly to the study of formation of structures in Universe. His relevancestillincreases, duetothewealthofobservationaldatainmodernliterature. His most general form is the generalized Burgers equation with noise as proposed for Ribeiro and Peixoto de Faria [24]. The knowledge of analytical solutions is of great interest in astrophysics. With this objective we present, in this work, invariant solutions under Lie symmetries of the generalized Burgers equation without noise using algebraic computation, and the package Symmetry Analysis of Di?erential Equations (SADE), written in MAPLE. Subsequently, we simulate a distribution of velocitiesfromsomeinvariants solutionschosen amongthoseobtained, andcorrelate with a distribution of observational peculiar velocities.

ASSUNTO(S)

formação de estauturas em grandes escalas fisica simetrias de lie de quações diferenciais velocidade peculiar equação de burgers

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