Reveals finite-time blowup in two-phase flow models under various conditions, suggesting critical parameters for stability.
In this paper, we investigate the blowup of C¹ solution to compressible inviscid liquid-gas two-phase flow model with damping. Firstly, we get that if the initial data is radially symmetric and the initial densities contain vacuum, singularities will form in a finite time for the two-phase flow with time-dependent damping in two and three dimensions. Additionally, we consider the one-dimensional liquid-gas two-phase flow model with space-dependent damping. Under the assumption of small initial velocity and small perturbations of the initial densities with compact support, we also obtain the finite-time blowup result.
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Liu et al. (2026) studied this question.
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