Applied Mathematics

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Hyperbolic Problems: Theory, Numerics, Applications

By Alberto Bressan, Marta Lewicka, Dehua Wang, Yuxi Zheng (Eds.)

ISBN-10: 1-60133-023-5

ISBN-13: 978-1-60133-023-9

This volume contains the Proceedings of the XVII InternationalConference (HYP2018) on Hyperbolic Problems, which was held at thePennsylvania State University, University Park, on June 25--29, 2018.

The contributions collected in this volume cover a wide range of topics.Some of these represent the latest developments on classicalmulti-dimensional problems, dealing with shock reflections and withthe stability of vortices and boundary layers. Other contributionsprovide sharp results on the structure and regularity of solutions toconservation laws, or discuss the fine line between well-posedness andill-posedness for transport equations with rough coefficients, and for theequations of inviscid fluid flow. Further progress is reported at theinterface between hyperbolic and kinetic models, including thehydrodynamic limit of the Boltzmann equation. Kinetic andmacroscopic models for collective dynamics of many-body systems,which have attracted much interest in recent years, are also covered inthis volume. Finally, a large number of papers are devoted to advancesin computational methods, with diverse applications such as: submarineavalanches, tsunami waves, chemically reacting flows, solitary waves,gas flow on a network of pipelines, traffic flow with multiple types ofvehicles, etc.

The present volume provides a timely survey of the state of the art,which will be of interest to researchers, students and practitioners, withinterest in the theoretical, computational and applied aspects ofhyperbolic problems.

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