On oscillatory solutions to the complete Euler system

0523994 - MÚ 2021 RIV US eng J - Článek v odborném periodiku
Feireisl, Eduard - Klingenberg, C. - Kreml, Ondřej - Markfelder, S.
On oscillatory solutions to the complete Euler system.
Journal of Differential Equations. Roč. 269, č. 2 (2020), s. 1521-1543. ISSN 0022-0396. E-ISSN 1090-2732
GRANT EU: European Commission(XE) 320078 - MATHEF
Grant ostatní: Neuron Fund for Support of Science(CZ) Neuron Impuls Junior
Institucionální podpora: RVO:67985840
Klíčová slova: compressible Euler equations * measure-valued solutions
Obor OECD: Pure mathematics
Impakt faktor: 2.430, rok: 2020
Způsob publikování: Omezený přístup
https://doi.org/10.1016/j.jde.2020.01.018

The Euler system in fluid dynamics is a model of a compressible inviscid fluid incorporating the three basic physical principles: Conservation of mass, momentum, and energy. We show that the Cauchy problem is basically ill-posed for the L∞-initial data in the class of weak entropy solutions. As a consequence, there are infinitely many measure-valued solutions for a vast set of initial data. Finally, using the concept of relative energy, we discuss a singular limit problem for the measure-valued solutions, where the Mach and Froude number are proportional to a small parameter.
Trvalý link: http://hdl.handle.net/11104/0308308