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On oscillatory solutions to the complete Euler system
- 1.0523994 - MÚ 2021 RIV US eng J - Journal Article
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
EU Projects: European Commission(XE) 320078 - MATHEF
Grant - others:Neuron Fund for Support of Science(CZ) Neuron Impuls Junior
Institutional support: RVO:67985840
Keywords : compressible Euler equations * measure-valued solutions
OECD category: Pure mathematics
Impact factor: 2.430, year: 2020
Method of publishing: Limited access
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.
Permanent Link: http://hdl.handle.net/11104/0308308
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