Existence of quasilinear relaxation shock profiles

  title={Existence of quasilinear relaxation shock profiles},
  author={Guy M{\'e}tivier and Benjamin Texier and Kevin Zumbrun},
We establish existence with sharp rates of decay and distance from the Chapman– Enskog approximation of small-amplitude quasilinear relaxation shocks in the general case that the profile ODE may become degenerate. Our method of analysis follows the general approach used by Métivier and Zumbrun in the semilinear case, based on Chapman–Enskog expansion and… CONTINUE READING