Rotating hollow patterns in fluids

DOI10.1016/J.APNUM.2018.11.015zbMath1458.35342OpenAlexW2903060465MaRDI QIDQ2000099

Yanyan Li

Publication date: 27 June 2019

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2018.11.015

zbMATH Keywords

rotationfree surfacesolitontwo-dimensionalpatternpeakonLeidenfrost drop

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Capillarity (surface tension) for incompressible inviscid fluids (76B45) Solitary waves for incompressible inviscid fluids (76B25) General theory of rotating fluids (76U05) Meteorology and atmospheric physics (86A10) Planetary atmospheres (85A20) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

Cites Work

• Nonlinear waves and solitons on contours and closed surfaces
• Slowly rotating drops
• The Hamiltonian structure for dynamic free boundary problems
• Patterns on liquid surfaces: Cnoidal waves, compactons and scaling
• Sur la géométrie différentielle des groupes de Lie de dimension infinite et ses applications à l'hydrodynamique des fluides parfaits
• Vortex evolution
• Computations of form and stability of rotating drops with finite elements
• Leidenfrost drops
• Stability and bifurcation of a rotating planar liquid drop
• Leidenfrost Dynamics
• Self-organized oscillations of Leidenfrost drops
• Variational methods, multisymplectic geometry and continuum mechanics

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