A numerical approach for the existence of dissipative weak solutions to a compressible two-fluid model

0559103 - MÚ 2023 RIV CH eng J - Článek v odborném periodiku
Li, Y. - She, Bangwei
A numerical approach for the existence of dissipative weak solutions to a compressible two-fluid model.
Journal of Mathematical Fluid Mechanics. Roč. 24, č. 3 (2022), č. článku 78. ISSN 1422-6928. E-ISSN 1422-6952
Institucionální podpora: RVO:67985840
Klíčová slova: convergence * dissipative weak solutions * finite volume method * two-fluid model
Obor OECD: Pure mathematics
Impakt faktor: 1.3, rok: 2022
Způsob publikování: Omezený přístup
https://doi.org/10.1007/s00021-022-00706-2

As an extension of the recent work of Novotný et al. (J Elliptic Parabol Equ 7:537–570 2021), we study the dissipative weak solutions to a compressible two-fluid model system describing the time evolution of two fluid flows sharing the same velocity field in multi-dimensional spaces. We prove the existence of dissipative weak solutions alternatively via a finite volume approximation. Further, we apply the weak–strong uniqueness principle to show the convergence of the finite volume approximation towards the strong solution on the lifespan of the latter.
Trvalý link: https://hdl.handle.net/11104/0332523