Abstract
The phenomenon mentioned in the title of this paper is described in terms of solutions of the differential equation u t + Δ2 u + Δ(u 2 - β u) = 0, where Δ is the two-dimensional Laplacian, β = const. We study a qualitative behaviour of Cauchy problem solutions for this equation and give classification of their limiting regimes at t → ∞. In particular, we formulate the sufficient condition of the solution collapse for a finite time.
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Pukhnachov, V.V. (1994). Long Wave Instability of Viscous Liquid Free Surface Due to Anomalous Marangoni Effect. In: Brown, R.A., Davis, S.H. (eds) Free Boundaries in Viscous Flows. The IMA Volumes in Mathematics and its Applications, vol 61. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-8413-7_4
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DOI: https://doi.org/10.1007/978-1-4613-8413-7_4
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