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

0559103 - MÚ 2023 RIV CH eng J - Journal Article
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
Institutional support: RVO:67985840
Keywords : convergence * dissipative weak solutions * finite volume method * two-fluid model
OECD category: Pure mathematics
Impact factor: 1.3, year: 2022
Method of publishing: Limited access
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.
Permanent Link: https://hdl.handle.net/11104/0332523