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Digitale Medien

The semigroup generated by 2 × 2 conservation laws (1995)

Bressan, Alberto ; Colombo, Rinaldo M.

Springer

Archive for rational mechanics and analysis 133 (1995), S. 1-75

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Details

ISSN: 1432-0673

Quelle: Springer Online Journal Archives 1860-2000

Thema: Mathematik , Physik

Notizen: 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}

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/BF00375350

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