Travelling wave solutions for a thin-film equation related to the spin-coating process
From MaRDI portal
Publication:4575285
DOI10.1017/S0956792517000195zbMath1394.35357OpenAlexW2735825750MaRDI QIDQ4575285
No author found.
Publication date: 13 July 2018
Published in: European Journal of Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0956792517000195
existence and uniquenesstravelling wave solutionsthin fluid filmsnon-linear fourth-order equationsPDEs for fluid mechanics
PDEs in connection with fluid mechanics (35Q35) Thin fluid films (76A20) Traveling wave solutions (35C07)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Asymmetric travelling waves for the thin film equation
- Well-posedness for a class of fourth order diffusions for image processing
- A dynamical systems approach for the contact-line singularity in thin-film flows
- The effect of the Coriolis force on axisymmetric rotating thin film flows
- A boundary value problem from draining and coating flows involving a third-order ordinary differential equation
- On an ODE from forced coating flow
- Well-posedness for the Navier-slip thin-film equation in the case of complete wetting
- Lubrication models with small to large slip lengths
- Stability of compressive and undercompressive thin film travelling waves
- Singular problems on the infinite interval modelling phenomena in draining flows
- Rigorous asymptotics of traveling-wave solutions to the thin-film equation and Tanner’s law
- Regularity of source-type solutions to the thin-film equation with zero contact angle and mobility exponent between 3/2 and 3
- Analysis of Oscillations in a Drainage Equation
- The Dynamics of a Conserved Phase Field System: Stefan-like, Hele-Shaw, and Cahn-Hilliard Models as Asymptotic Limits
- Flow of a Viscous Liquid on a Rotating Disk
- On the Flow of a Non-Newtonian Liquid on a Rotating Disk
- Unsteady spreading of thin liquid films with small surface tension
- Intermediate-asymptotic structure of a dewetting rim with strong slip
- A Numerical and Asymptotic Study of Some Third-Order Ordinary Differential Equations Relevant to Draining and Coating Flows
- Theoretical and numerical results for spin coating of viscous liquids
- Source type solutions of a fourth order nonlinear degenerate parabolic equation
- Solutions of Third-Order Differential Equations Relevant to Draining and Coating Flows
- Thin Film Traveling Waves and the Navier Slip Condition
- Existence of Undercompressive Traveling Waves in Thin Film Equations
- Traveling Wave Solutions of Fourth Order PDEs for Image Processing
- Low‐curvature image simplifiers: Global regularity of smooth solutions and Laplacian limiting schemes
- Grain boundary grooving by surface diffusion: an analytic nonlinear model for a symmetric groove
- Two Problems from Draining Flows Involving Third-Order Ordinary Differential Equations
- The stability of the viscous shock profiles of the burgers’ equation with a fourth order viscosity
This page was built for publication: Travelling wave solutions for a thin-film equation related to the spin-coating process