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  • 1
    Electronic Resource
    Electronic Resource
    The unique limit of the Glimm scheme (1995)
    Springer
    Archive for rational mechanics and analysis 130 (1995), S. 205-230 
    Details
    ISSN: 1432-0673
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract We introduce the definitions of a standard Riemann semigroup and of a viscosity solution for a nonlinear hyperbolic system of conservation laws. For a class including general 2×2 systems, it is proved that the solutions obtained by a wavefront tracking algorithm or by the Glimm scheme are precisely the semigroup trajectories. In particular, these solutions are unique and depend Lipschitz continuously on the initial data in the L 1 norm.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00392027
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