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    Electronic Resource
    Electronic Resource
    The semigroup generated by 2 × 2 conservation laws (1995)
    Springer
    Archive for rational mechanics and analysis 133 (1995), S. 1-75 
    Details
    ISSN: 1432-0673
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract Consider the Cauchy problem for a strictly hyperbolic 2×2 system of conservation laws in one space dimension: {ie1-01} assuming that each characteristic field is either linearly degenerate or genuinely nonlinear. This paper develops a new algorithm, based on wave-front tracking, which yields a Cauchy sequence of approximate solutions, converging to a unique limit depending continuously on the initial data. The solutions that we obtain constitute a semigroup S, defined on a set {ie1-02} of integrable functions with small total variation. For some Lipschitz constant L, we have the estimate {ie1-03}
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00375350
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