Classification of degree three polynomial solutions to the Polubarinova–Galin equation

DOI10.1017/S0956792515000194zbMath1387.76029arXiv1309.4937OpenAlexW2274305706MaRDI QIDQ4594561

Yu-Lin Lin

Publication date: 24 November 2017

Published in: European Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.4937

zbMATH Keywords

classification of solutionsHele-ShawPolubarinova-Galin equation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Other free boundary flows; Hele-Shaw flows (76D27) Blow-up in context of PDEs (35B44) Polynomial solutions to PDEs (35C11)

Cites Work

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• Cusp Development in Hele–Shaw Flow with a Free Surface
• On the classification of solutions to the zero-surface-tension model for Hele-Shaw free boundary flows
• Ullemar's formula for the jacobian of the complex moment mapping
• Infinite lifetime for the starlike dynamics in Hele-Shaw cells
• On the dynamics of roots and poles for solutions of the Polubarinova-Galin equation
• Coefficient regions for univalent polynomials of small degree
• Hele Shaw flows with a free boundary produced by the injection of fluid into a narrow channel

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