Optimal results on TV bounds for scalar conservation laws with discontinuous flux
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Publication:473074
DOI10.1016/j.jde.2014.10.014zbMath1312.35032OpenAlexW1988335902MaRDI QIDQ473074
Publication date: 21 November 2014
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2014.10.014
Hamilton-Jacobi equationone space dimensionexplicit formulascalar conservation lawsdiscontinuous fluxcharacteristic linesBV function
Hyperbolic conservation laws (35L65) A priori estimates in context of PDEs (35B45) Hamilton-Jacobi equations (35F21)
Related Items (11)
A Godunov type scheme and error estimates for scalar conservation laws with Panov-type discontinuous flux ⋮ Convergence via OSLC of the Godunov scheme for a scalar conservation law with time and space flux discontinuities ⋮ Smoothing effect in \(BV_{\Phi}\) for entropy solutions of scalar conservation laws ⋮ Fractional regularity for conservation laws with discontinuous flux ⋮ Exact and optimal controllability for scalar conservation laws with discontinuous flux ⋮ Convergence of a Godunov scheme to an Audusse-Perthame adapted entropy solution for conservation laws with BV spatial flux ⋮ Optimal regularity for all time for entropy solutions of conservation laws in \(BV^s\) ⋮ Systems of conservation laws with discontinuous fluxes and applications to traffic ⋮ Nonexistence of the $BV$ Regularizing Effect for Scalar Conservation Laws in Several Space Dimensions for $C^2$ Fluxes ⋮ Convergence of a Godunov scheme for degenerate conservation laws with BV spatial flux and a study of Panov-type fluxes ⋮ BV regularity near the interface for nonuniform convex discontinuous flux
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