Measure-Valued Solutions of the Euler Equations

Speaker(s)

Emil Wiedemann,

Affiliation

HCM, University of Bonn

Date

March 5, 2015, 12:30 p.m.

Room

room 4060

Seminar

Seminar of Mathematical Physics Equations Group

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Measure-valued solutions of the incompressible Euler equations were first considered by DiPerna and Majda to describe effects of oscillation and concentration in ideal fluids. Although measure-valued solutions appear a priori as much weaker objects than distributional solutions, we have been able to show that both notions are in a sense equivalent. An important open question concerns the relation between weak and measure-valued solutions for compressible Euler models. Joint work with L. Székelyhidi, Jr.

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