Particle acceleration at stationary and moving internal shocks is one of the principal mechanisms to explain the variable emission, seen from the radio to the $\gamma$-ray band, from relativistic jets in radio-loud active galactic nuclei. To reproduce the synchrotron light curves associated with these shocks, we perform SRMHD simulations of magnetised relativistic transverse-structured jets using the AMRVAC code.
Perturbations are injected at the base of a steady jet that carries stationary shocks to study the interaction between the moving and the stationary shocks.
Synchrotron emission and radiative transfer are simulated in post-treatment. In a first application, the radio core of the radio-galaxy M87 is modelled to study the flux evolution from such perturbations in the radio band and compare them against archival data.