Publications [#246908] of Jian-Guo Liu

Papers Published

1. Liu, JG; Xin, Z, L1-stability of stationary discrete shocks, Math. Comp., vol. 60 no. 201 (1993), pp. 233-244, American Mathematical Society (AMS) [doi]
   (last updated on 2025/05/01)

   Abstract:
   The nonlinear stability in the Lpnorm, p 1 , of stationary weak discrete shocks for the Lax-Friedrichs scheme approximating general m x m systems of nonlinear hyperbolic conservation laws is proved, provided that the summations of the initial perturbations equal zero. The result is proved by using both a weighted estimate and characteristic energy method based on the internal structures of the discrete shocks and the essential monotonicity of the Lax-Friedrichs scheme. © 1993 American Mathematical Society.