M\'etodos Estoc\'asticos em Turbul\^encia Desenvolvida

In this thesis, we use some methods of theory of stochastic process to approach turbulence in fluid dynamics. We discuss the Kolmogorov model for fully developed homogeneous turbulence, some recent analytical results to the 1-D Burgers' equation approach turbulence. Nesta disserta\c c\~ao, utilizamos m\'etodos da teoria de processos estoc\'asticos para a compreens\~ao da turbul\^encia em fluidos. Discutimos o modelo de Kolmogorov para turbul\^encia homog\^enea desenvolvida, resultados anal\'\i ticos recentes para a equa\c c\~ao de Burgers.