Oscillation Properties of Scalar Conservation Laws

DOI10.1002/cpa.21804zbMath1428.35215arXiv1708.03401OpenAlexW2963977086WikidataQ114852953 ScholiaQ114852953MaRDI QIDQ5381062

Luis Silvestre

Publication date: 7 June 2019

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.03401

zbMATH Keywords

entropy solutionsdecay rateentropy dissipationjump setscalar conservation lawsgenuine nonlinearitylocal oscillation estimates

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Hyperbolic conservation laws (35L65)

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The rectifiability of the entropy defect measure for Burgers equation ⋮ Uniqueness and weak-BV stability for \(2\times 2\) conservation laws ⋮ Unconditional Regularity and Trace Results for the Isentropic Euler Equations with \({\boldsymbol{\gamma = 3}}\) ⋮ On Decay of Entropy Solutions to Multidimensional Conservation Laws ⋮ On the structure of weak solutions to scalar conservation laws with finite entropy production ⋮ Semi-algebraic approximation using Christoffel-Darboux kernel ⋮ Nonexistence of the $BV$ Regularizing Effect for Scalar Conservation Laws in Several Space Dimensions for $C^2$ Fluxes ⋮ Multi-dimensional Burgers equation with unbounded initial data: well-posedness and dispersive estimates ⋮ Optimal jump set in hyperbolic conservation laws

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