IMPROVED STABILITY ESTIMATES FOR GENERAL SCALAR CONSERVATION LAWS

DOI10.1142/S021989161100255XzbMath1253.35079arXiv1010.5116MaRDI QIDQ2891097

Magali Lécureux-Mercier

Publication date: 13 June 2012

Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.5116

zbMATH Keywords

entropy solutionsBV estimatesmultidimensional scalar balance laws

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Hyperbolic conservation laws (35L65) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

Related Items (12)

Conservation laws with a non-local flow application to pedestrian traffic ⋮ Stochastic scalar conservation laws driven by rough paths ⋮ Well-posedness of a non-local model for material flow on conveyor belts ⋮ An analytical framework to describe the interactions between individuals and a continuum ⋮ Regularity of solutions to scalar conservation laws with a force ⋮ Well-posedness by noise for scalar conservation laws ⋮ Differential equations modeling crowd interactions ⋮ Nonlinear anisotropic degenerate parabolic-hyperbolic equations with stochastic forcing ⋮ A mixed hyperbolic-parabolic system to describe predator-prey dynamics ⋮ A non-local pedestrian flow model accounting for anisotropic interactions and domain boundaries ⋮ A non-local scalar conservation law describing navigation processes ⋮ Crowd Dynamics Through Conservation Laws

Cites Work

• On the time continuity of entropy solutions
• Stability and total variation estimates on general scalar balance laws
• On an open question about functions of bounded variation.
• Polygonal approximations of solutions of the initial value problem for a conservation law
• Kruzkov’s estimates for scalar conservation laws revisited

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