  This paper is an introduction to the theory of 1d stochastic Burgers equation
under periodic boundary conditions and with a stochastic force, sufficiently
smooth in the space variable. We prove the classical results on the existence
and uniqueness of solutions, study their regularity and discuss their
properties when the time goes to infinity or the viscosity goes to zero. The
latter limit describes the turbulence in the Burgers equation, named by U.
Frish "the burgulence". Our paper may be used as an elementary introduction to
the modern methods of stochastic PDE.
