Analytic Semigroup Generated by the Linearization of a Riemann-Dafermos Solution
نویسندگان
چکیده
Dafermos regularization is a viscous regularization of hyperbolic conservation laws that preserves solutions of the form u = û(X/T ). A RiemannDafermos solution is a solution of the Dafermos regularization that is close to a Riemann solution of the conservation law. Using self-similar coordinate x = X/T , Riemann-Dafermos solutions become stationary. In a suitable Banach space, we show that the linear variational system around such solution is sectorial, thus generating an analytic semigroup.
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