Nonlinear Stability of Semidiscrete Shock Waves

  title={Nonlinear Stability of Semidiscrete Shock Waves},
  author={Sylvie Benzoni-Gavage and Pierre Huot and Frederic Rousset},
  journal={SIAM J. Math. Analysis},
The orbital stability of possibly large semi-discrete shock waves is considered. These waves are traveling wave solutions of discrete in space and continuous in time systems of conservation laws, which constitute a class of Lattice Dynamical Systems. The underlying lattice xZis by nature not invariant by change of frame. Thus semi-discrete shock waves… CONTINUE READING