  In this paper we establish the orbital stability of periodic waves related to
the logarithmic Korteweg-de Vries equation. Our motivation is inspired in the
recent work \cite{carles}, in which the authors established the well-posedness
and the linear stability of Gaussian solitary waves. By using the approach put
forward recently in \cite{natali1} to construct a smooth branch of periodic
waves as well as to get the spectral properties of the associated linearized
operator, we apply the abstract theories in \cite{grillakis1} and
\cite{weinstein1} to deduce the orbital stability of the periodic traveling
waves in the energy space.
