We study the quasi-static limit for the L∞ entropy weak solution of scalar one-dimensional hyperbolic equations with strictly concave or convex flux and time dependent boundary conditions. The quasi-stationary profile evolves with the quasi-static equation, whose entropy solution is determined by the stationary profile corresponding to the boundary data at a given time.
Quasi-static limit for a hyperbolic conservation law / Marchesani, S.; Olla, S.; Xu, L.. - In: NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS. - ISSN 1021-9722. - 28:5(2021). [10.1007/s00030-021-00716-5]
Quasi-static limit for a hyperbolic conservation law
Marchesani S.;
2021
Abstract
We study the quasi-static limit for the L∞ entropy weak solution of scalar one-dimensional hyperbolic equations with strictly concave or convex flux and time dependent boundary conditions. The quasi-stationary profile evolves with the quasi-static equation, whose entropy solution is determined by the stationary profile corresponding to the boundary data at a given time.File allegati a questo prodotto
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