Finer regularity of an entropy solution for 1-d scalar conservation laws with non uniform convex flux

DOI10.4171/RSMUP/132-1zbMath1307.35165MaRDI QIDQ481019

G. D. Veerappa Gowda, Shyam Sundar Ghoshal, Adimurthi

Publication date: 12 December 2014

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

zbMATH Keywords

entropy solutionscharacteristic linesSBV (special functions of bounded variations)

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Shocks and singularities for hyperbolic equations (35L67) Hyperbolic conservation laws (35L65) Weak solutions to PDEs (35D30) Hamilton-Jacobi equations (35F21)

Related Items

Optimal controllability for scalar conservation laws with convex flux ⋮ Fractional regularity for conservation laws with discontinuous flux ⋮ Optimal regularity for all time for entropy solutions of conservation laws in \(BV^s\) ⋮ Optimal results on TV bounds for scalar conservation laws with discontinuous flux ⋮ Nonexistence of the $BV$ Regularizing Effect for Scalar Conservation Laws in Several Space Dimensions for $C^2$ Fluxes ⋮ Regularity estimates for scalar conservation laws in one space dimension ⋮ BV regularity near the interface for nonuniform convex discontinuous flux ⋮ On the maximal smoothing effect for multidimensional scalar conservation laws

Cites Work

• Unnamed Item
• SBV-like regularity for Hamilton-Jacobi equations with a convex Hamiltonian
• Exact controllability of scalar conservation laws with strict convex flux
• Optimal controllability for scalar conservation laws with convex flux
• A NOTE ON ADMISSIBLE SOLUTIONS OF 1D SCALAR CONSERVATION LAWS AND 2D HAMILTON–JACOBI EQUATIONS
• STRUCTURE OF ENTROPY SOLUTIONS TO SCALAR CONSERVATION LAWS WITH STRICTLY CONVEX FLUX