Compressible fluid motion with uncertain data

0560367 - MÚ 2023 RIV CH eng J - Článek v odborném periodiku
Feireisl, Eduard
Compressible fluid motion with uncertain data.
Journal of Mathematical Fluid Mechanics. Roč. 24, č. 4 (2022), č. článku 96. ISSN 1422-6928. E-ISSN 1422-6952
Grant CEP: GA ČR(CZ) GA21-02411S
Institucionální podpora: RVO:67985840
Klíčová slova: compressible Navier-Stokes system * statistical solution * data uncertainity
Obor OECD: Pure mathematics
Impakt faktor: 1.3, rok: 2022
Způsob publikování: Omezený přístup
https://doi.org/10.1007/s00021-022-00727-x

We propose a suitable analytical framework to perform numerical analysis of problems arising in compressible fluid models with uncertain data. We discuss both weak and strong stochastic approach, where the former is based on the knowledge of the mere distribution (law) of the random data typical for the Monte-Carlo and related methods, while the latter assumes the data to be known as a random variable on a given probability space aiming at obtaining the associated solution in the same form. As an example of the strong approach, we discuss the stochastic collocation method based on a piecewise constant approximation of the random data.
Trvalý link: https://hdl.handle.net/11104/0333300