Dynamics of a nonlinear equation modelling the capillary rise

DOI10.1016/J.PHYSD.2018.07.008zbMath1415.34062OpenAlexW2884544425MaRDI QIDQ2000716

Yanyan Li

Publication date: 28 June 2019

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2018.07.008

zbMATH Keywords

oscillationperiodic motionheteroclinic orbitsattraction basincapillary rise

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Stability of solutions to ordinary differential equations (34D20) Capillarity (surface tension) for incompressible viscous fluids (76D45) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (5)

Solvability in weighted \(L_1\)-spaces for the \(m\)-product of integral equations and model of the dynamics of the capillary rise ⋮ Solvability in Hölder spaces of an integral equation which models dynamics of the capillary rise ⋮ An analytical study of capillary rise dynamics: critical conditions and hidden oscillations ⋮ Bifurcation of periodic orbits of periodic equations with multiple parameters by averaging method ⋮ Asymptotic behaviour of a solution to a nonlinear equation modelling capillary rise

Cites Work

• Monotonicity, oscillations and stability of a solution to a nonlinear equation modelling the capillary rise
• Numerical investigations of two-phase flow with dynamic capillary pressure in porous media via a moving mesh method
• Qualitative theory of planar differential systems
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