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This is a Quantitative Study study (also classified as: Experimental Study).

October 2, 2025Open Access

Classification of finite-time blow-up of strong solutions to the incompressible free boundary Euler equations with surface tension

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Authors

CHChengchun HaoChinese Academy of Sciences TLT. LuoSouth China Agricultural University SYS. YangUniversité Paris-Sud

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Implication

This work classifies finite-time blow-up scenarios for strong solutions to incompressible Euler equations, highlighting implications for free boundary behavior.

Key Points

Finite-time blow-up in strong solutions is classified into five distinct scenarios regarding the free boundary.
The classification shows that at least one blow-up scenario must occur before the maximal time T, reflecting on boundary conditions.
Uniquely, the study makes no assumptions about the domain shape or symmetry, broadening its applicability.
For simply connected domains, one scenario simplifies into a vorticity-based criterion, impacting irrotational flow analysis.

Cite This Study

Hao et al. (2025) studied this question.

synapsesocial.com/papers/68de6f3f83cbc991d0a22c25 https://doi.org/10.48550/arxiv.2507.10032

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Implication

This work classifies finite-time blow-up scenarios for strong solutions to incompressible Euler equations, highlighting implications for free boundary behavior.

Classification of finite-time blow-up of strong solutions to the incompressible free boundary Euler equations with surface tension

Discussion

Member takes

Implication

Key Points

Cite This Study

Classification of finite-time blow-up of strong solutions to the incompressible free boundary Euler equations with surface tension

Discussion

Member takes

Implication

Key Points

Cite This Study

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