Emissive Mechanism on Spectral Variability of Blazars in High   Frequencies
  The new results of the evolution of the synchrotron peak for Mrk 421 are mostly likely related to the particle acceleration process. In order to account for the above results, we present a model of blazar variability during the flare in which the emission comes from accelerating electrons. A diffusion advection equation of the electron energy distribution is derived to calculate the spectrum and light curve of synchrotron radiation. We present that the observed shifts of the synchrotron peak moving to higher energies during the flare are caused by shock acceleration. The observed relation between changes in the fluxes at specified frequency ranges and shifts of the peak position is fitted to constrain the physical parameters of the dissipation region. 
Jiancheng Wang, Jirong Mao