One Dimensional Hyperbolic Conservation Laws: Past and Future
Alberto Bressan
TL;DR
This paper reviews the current well-posedness theory for one-dimensional hyperbolic conservation laws, discusses open problems, and suggests future research directions in the field.
Contribution
It provides a concise overview of recent advances in well-posedness theory and highlights open problems and potential research avenues in hyperbolic conservation laws.
Findings
Summary of well-posedness results for hyperbolic systems
Identification of key open problems in the field
Suggestions for future research directions
Abstract
Aim of these notes is provide a brief review of the current well-posedness theory for hyperbolic systems of conservation laws in one space dimension, also pointing out open problems and possible research directions. They supplement the slides of the short course given by the author in Erice, May 2023, available at: sites.google.com/view/erice23/speakers-and-slides.
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Taxonomy
TopicsNavier-Stokes equation solutions · Computational Fluid Dynamics and Aerodynamics · Fluid Dynamics and Turbulent Flows