Compressible fluid inside a linear oscillator

0548749 - MÚ 2022 RIV CH eng J - Journal Article
Mácha, Václav
Compressible fluid inside a linear oscillator.
Journal of Elliptic and Parabolic Equations. Roč. 7, č. 2 (2021), s. 393-416. ISSN 2296-9020
R&D Projects: GA ČR(CZ) GA19-04243S
Institutional support: RVO:67985840
Keywords : fluid-structure interaction * compresible fluids * existence of weak solutions
OECD category: Pure mathematics
Method of publishing: Limited access
https://doi.org/10.1007/s41808-021-00120-1

We use Feireisl-Lions theory to deduce the existence of weak solutions to a system describing the dynamics of a linear oscillator containing a Newtonian compressible fluid. The appropriate Navier-Stokes equation is considered on a domain whose movement has one degree of freedom. The equation is paired with the Newton law and we assume a no-slip boundary condition.
Permanent Link: http://hdl.handle.net/11104/0324816