Some remarks on steady solutions to the Euler system in Rd

0539488 - MÚ 2022 RIV US eng J - Journal Article
Fanelli, F. - Feireisl, Eduard
Some remarks on steady solutions to the Euler system in Rd.
Applied Mathematics Letters. Roč. 116, June (2021), č. článku 107031. ISSN 0893-9659. E-ISSN 1873-5452
R&D Projects: GA ČR(CZ) GA18-05974S
Institutional support: RVO:67985840
Keywords : Euler system * far field conditions * non-homogeneous fluid * steady solution
OECD category: Pure mathematics
Impact factor: 4.294, year: 2021
Method of publishing: Limited access
https://doi.org/10.1016/j.aml.2021.107031

We show that the Euler system of gas dynamics in Rd, d=2,3, with positive far field density and arbitrary far field entropy, admits infinitely many steady solutions with compactly supported velocity. The same proof yields a similar result for the incompressible Euler system with variable density. In particular, these are examples of global in time smooth (non-trivial) solutions for the corresponding time-dependent systems.
Permanent Link: http://hdl.handle.net/11104/0317225