Nonlinear Stability of Semidiscrete Shock Waves

@article{BenzoniGavage2003NonlinearSO,
  title={Nonlinear Stability of Semidiscrete Shock Waves},
  author={Sylvie Benzoni-Gavage and Pierre Huot and Frederic Rousset},
  journal={SIAM J. Math. Analysis},
  year={2003},
  volume={35},
  pages={639-707}
}
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