Math @ Duke

Publications [#246908] of JianGuo Liu
Papers Published
 Liu, JG; Xin, Z, L^{1}stability of stationary discrete shocks,
Mathematics of Computation, vol. 60 no. 201
(January, 1993),
pp. 233244, American Mathematical Society (AMS) [doi]
(last updated on 2019/05/22)
Abstract: The nonlinear stability in the Lpnorm, p 1 , of stationary weak discrete shocks for the LaxFriedrichs 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 LaxFriedrichs scheme. © 1993 American Mathematical Society.


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