On the Stability of the Standard Riemann Semigroup

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dc.creatorBianchini, Stefano
dc.creatorColombo, Rinaldo M.
dc.date2000-07-10
dc.date.accessioned2026-07-07T04:36:19Z
dc.date.available2026-07-07T04:36:19Z
dc.descriptionWe consider the dependence of the entropic solution of a hyperbolic system of conservation laws \[ \{\{array}{c} u_t + f(u)_x = 0 u(0,\cdot) = u_0 \{array} \] on the flux function f. We prove that the solution in Lipschitz continuous w.r.t.~the $C^0$ norm of the derivative of the perturbation of f. We apply this result to prove the convergence of the solution of the relativistic Euler equation to the classical limit.
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/math/0007055
dc.identifierhttp://arxiv.org/abs/math/0007055
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59551
dc.subjectAnalysis of PDEs
dc.subject35L65
dc.titleOn the Stability of the Standard Riemann Semigroup
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