A mountain pass scenario and heteroclinic orbits for thin-film type equations

DOI10.1088/0951-7715/25/12/3343zbMath1263.35180OpenAlexW2056413626MaRDI QIDQ4920086

Zhen-yu Zhang, Kai-Seng Chou

Publication date: 16 May 2013

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/25/12/3343

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Thin fluid films (76A20) Asymptotic stability in control theory (93D20) Index theory for dynamical systems, Morse-Conley indices (37B30)

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A symmetry result for an elliptic problem arising from the 2-D thin film equation ⋮ Spreading equilibria under mildly singular potentials: pancakes versus droplets ⋮ Energy stability of droplets and dry spots in a thin film model of hanging drops ⋮ On dry spot and droplet solutions for thin films on the plane

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