A note on measure-valued solutions to the full Euler system

Macha V, Wiedemann E (2022)

Publication Type: Journal article

Publication year: 2022

Journal

Applications of Mathematics Springer Verlag (Germany) / Akademie věd České republiky, Matematický ústav

Book Volume: 67

Pages Range: 419-430

Journal Issue: 4

DOI: 10.21136/AM.2021.0279-20

Abstract

We construct two particular solutions of the full Euler system which emanate from the same initial data. Our aim is to show that the convex combination of these two solutions form a measure-valued solution which may not be approximated by a sequence of weak solutions. As a result, the weak* closure of the set of all weak solutions, considered as parametrized measures, is not equal to the space of all measure-valued solutions. This is in stark contrast with the incompressible Euler equations.

Authors with CRIS profile

Emil Wiedemann

Involved external institutions

Academy of Sciences of the Czech Republic (ASCR) / Akademie věd České republiky (AVČR) CZ Czech Republic (CZ) Universität Ulm DE Germany (DE)

How to cite

APA:

Macha, V., & Wiedemann, E. (2022). A note on measure-valued solutions to the full Euler system. Applications of Mathematics, 67(4), 419-430. https://dx.doi.org/10.21136/AM.2021.0279-20

MLA:

Macha, Vaclav, and Emil Wiedemann. "A note on measure-valued solutions to the full Euler system." Applications of Mathematics 67.4 (2022): 419-430.

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