Publication date: 30 June 2026
Volume: Vol 61
Issue: Svezak 1
Pages: 161-174
DOI: 10.3336/gm.61.1.07
Glasnik matematički, Vol. 61 No. 1, 2026.
Original scientific paper
https://doi.org/10.3336/gm.61.1.07
Finite-time blow-up of a classical solution to the two-fluid model with density-dependent viscosity
Kaiyue Wang
; School of Mathematical Science, Yangzhou University, 225002 Yangzhou, China
Tong Tang
orcid.org/0000-0002-4458-2001
; School of Mathematical Science, Yangzhou University, 225002 Yangzhou, P. R. China
Abstract
This paper concerns the initial-boundary value problem for a compressible two-fluid model with density-dependent viscosities (possibly degenerating in vacuum), subject to Dirichlet boundary conditions. We prove that the two-fluid system with non-monotone pressure will blow up in finite time under the assumption that the initial densities include an isolated mass group.
Keywords
Two-fluid model, blow-up, non-monotone pressure
Hrčak ID:
348192
URI
Publication date:
15.8.2026.
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