About a cavitation model including bubbles in thin film lubrication taking convection into account
DOI10.1090/qam/1609OpenAlexW4212828967MaRDI QIDQ5067472
Ionel Sorin Ciuperca, Guy Bayada
Publication date: 1 April 2022
Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/qam/1609
PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Thin fluid films (76A20) Lubrication theory (76D08) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Liquid-gas two-phase flows, bubbly flows (76T10) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Wakes and jets (76D25) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Compressibility effects in hydrodynamic stability (76E19)
Cites Work
- Periodic solutions to singular second-order differential equations: the repulsive case
- Existence and uniqueness of solutions to stochastic Rayleigh-Plesset equations
- Periodic solutions of singular second order differential equations: upper and lower functions
- Non-singular solutions of a Rayleigh-Plesset equation under a periodic pressure field
- Semigroups of linear operators and applications to partial differential equations
- A free boundary problem in the theory of lubrication
- On a problem of the theory of lubrication governed by a variational inequality
- Numerical solution of cavitation problems in lubrication
- Theory of multicomponent fluids
- On the development of negative pressure in oil film and the characteristics of journal bearing
- Development of a New Cavitation Model based on Bubble Dynamics
- The Rayleigh-Plesset equation: a simple and powerful tool to understand various aspects of cavitation
- Analysis of a free boundary problem in partial lubrication
- The effect of viscosity on the spherical stability of oscillating gas bubbles
- An Introduction to Variational Inequalities and Their Applications
- About a cavitation model including bubbles in thin film lubrication: A first mathematical analysis
- Mathematical and Numerical Analysis of the Rayleigh-Plesset and the Keller Equations
- Cavitation and Bubble Dynamics
- About a generalized Buckley-Leverett equation and lubrication multifluid flow
This page was built for publication: About a cavitation model including bubbles in thin film lubrication taking convection into account