Regularity and Conserved Quantities: Some Recent Developments

Prelegent(ci)

Emil Wiedemann

Afiliacja

University of Hannover

Termin

24 maja 2018 12:30

Pokój

p. 5070

Seminarium

Seminarium Zakładu Równań Fizyki Matematycznej

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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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