Regularity and Conserved Quantities: Some Recent Developments

Speaker(s)

Emil Wiedemann

Affiliation

University of Hannover

Date

May 24, 2018, 12:30 p.m.

Room

room 5070

Seminar

Seminar of Mathematical Physics Equations Group

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Evolution equations with a physical background always come with one or several conserved quantities, like the energy. However, when the solution and/or the coefficients are sufficiently irregular, the conservation law may break down, and the question arises precisely what regularity is needed to guarantee conservation. We will recall the classical theories of DiPerna-Lions and Constantin-E-Titi, and then discuss some recent results concerning bounded domains, optimal Besov regularity, and nonlocal effects.

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