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A quadratic interaction estimate for conservation laws: motivations, techniques and open problems

TitleA quadratic interaction estimate for conservation laws: motivations, techniques and open problems
Publication TypeJournal Article
Year of Publication2016
AuthorsModena, S
JournalBulletin of the Brazilian Mathematical Society, New Series
Volume47
Pagination589–604
Date PublishedJun
ISSN1678-7714
Abstract

In a series of joint works with S. Bianchini [3, 4, 5], we proved a quadratic interaction estimate for general systems of conservation laws. Aim of this paper is to present the results obtained in the three cited articles [3, 4, 5], discussing how they are related with the general theory of hyperbolic conservation laws. To this purpose, first we explain why this quadratic estimate is interesting, then we give a brief overview of the techniques we used to prove it and finally we present some related open problems.

URLhttps://doi.org/10.1007/s00574-016-0171-9
DOI10.1007/s00574-016-0171-9

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