  Super-bubbles are shells in the interstellar medium produced by the
simultaneous explosions of many supernova remnants. The solutions of the
mathematical diffusion and of the Fourier expansion in 1D, 2D and 3D were
deduced in order to describe the diffusion of nucleons from such structures.
The mean number of visits in the the case of the Levy flights in 1D was
computed with a Monte Carlo simulation. The diffusion of cosmic rays has its
physical explanation in the relativistic Larmor gyro-radius which is energy
dependent. The mathematical solution of the diffusion equation in 1D with
variable diffusion coefficient was computed. Variable diffusion coefficient
means magnetic field variable with the altitude from the Galactic plane. The
analytical solutions allow us to calibrate the code that describes the Monte
Carlo diffusion.
  The maximum energy that can be extracted from the super-bubbles is deduced.
The concentration of cosmic rays is a function of the distance from the nearest
super-bubble and the selected energy. The interaction of the cosmic rays on the
target material allows us to trace the theoretical map of the diffuse Galactic
continuum gamma-rays. The streaming of the cosmic rays from the Gould Belts
that contains the sun at it's internal was described by a Monte Carlo
simulation. Nine new formulas are derived.
