Name
Abstract | ||
|---|---|---|
Summary. This paper is concerned with polynomial decay rates of perturbations to stationary discrete shocks for the Lax-Friedrichs
scheme approximating non-convex scalar conservation laws. We assume that the discrete initial data tend to constant states
as , respectively, and that the Riemann problem for the corresponding hyperbolic equation admits a stationary shock wave. If
the summation of the initial perturbation over is small and decays with an algebraic rate as , then the perturbations to discrete shocks are shown to decay with the corresponding rate as . The proof is given by applying weighted energy estimates. A discrete weight function, which depends on the space-time variables
for the decay rate and the state of the discrete shocks in order to treat the non-convexity, plays a crucial role.
|
Year | DOI | Venue |
|---|---|---|
2001 | 10.1007/s211-001-8013-4 | Numerische Mathematik |
Keywords | Field | DocType |
riemann problem,space time,decay rate,shock wave,conservation law,hyperbolic equation,weight function,convergence rate | Existence theorem,Weight function,Mathematical analysis,Uniqueness theorem for Poisson's equation,Initial value problem,Rate of convergence,Riemann problem,Conservation law,Mathematics,Hyperbolic partial differential equation | Journal |
Volume | Issue | ISSN |
88 | 3 | 0029-599X |
Citations | PageRank | References |
1 | 0.44 | 2 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Hailiang Liu | 1 | 39 | 6.57 |
| Jinghua Wang | 2 | 162 | 22.31 |
| Gerald Warnecke | 3 | 35 | 6.92 |