Taylor-Couette flow with temperature fluctuations: Time periodic solutions

0572810 - MÚ 2024 RIV SG eng J - Journal Article
Feireisl, Eduard - Kwon, Y.-S.
Taylor-Couette flow with temperature fluctuations: Time periodic solutions.
Mathematical Models and Methods in Applied Sciences. Roč. 33, č. 6 (2023), s. 1193-1214. ISSN 0218-2025. E-ISSN 1793-6314
R&D Projects: GA ČR(CZ) GA21-02411S
Institutional support: RVO:67985840
Keywords : Navier-Stokes-Fourier system * Taylor-Couette flow * time periodic solution
OECD category: Pure mathematics
Impact factor: 3.5, year: 2022
Method of publishing: Limited access
https://doi.org/10.1142/S0218202523500276

We consider the motion of a viscous compressible and heat conducting fluid confined in the gap between two rotating cylinders (Taylor-Couette flow). The temperature of the cylinders is fixed but not necessarily constant. We show that the problem admits a time-periodic solution as soon as the ratio of the angular velocities of the two cylinders is a rational number.
Permanent Link: https://hdl.handle.net/11104/0343371