Quasi-static limit for a hyperbolic conservation law

Abstract

We study the quasi-static limit for the $L^{\infty }$ 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.

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References in corpus (1)

• Quasi-static limit for the asymmetric simple exclusion