  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.
