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

TitleQuadratic interaction estimate for conservation laws: motivations, techniques and open problems
Publication TypePreprint
2015
AuthorsModena, S

In a series joint works with S. Bianchini [3, 4, 5], we proved a quadratic
interaction estimate for general systems of conservation laws. Aim of this article is to
present the results obtained in the three cited papers, setting them in the context of
the theory of Hyperbolic Conservation Laws. To this purpose, first we explain why
we considered this quadratic estimate interesting, then we give a brief overview of the
techniques we used to prove it and finally we present some related open problems.

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