Thin-Film Equations with Singular Potentials: An Alternative Solution to the Contact-Line Paradox

Spreading Equilibria Under Mildly Singular Potentials: Pancakes Versus Droplets

(2022) Riccardo Durastanti et al.   JOURNAL OF NONLINEAR SCIENCE

Regular and complex singularities of the generalized thin film equation in two dimensions

(2021) M.C. Dallaston et al.   JOURNAL OF FLUID MECHANICS

On the Relationship Between the Thin Film Equation and Tanner's Law

(2020) M. G. Delgadino et al.   COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS

Steady states of thin film droplets on chemically heterogeneous substrates

(2020) Weifan Liu et al.   IMA JOURNAL OF APPLIED MATHEMATICS

Discrete Self-Similarity in Interfacial Hydrodynamics and the Formation of Iterated Structures

(2018) Michael C. Dallaston et al.   PHYSICAL REVIEW LETTERS

The Navier-slip thin-film equation for 3D fluid films: Existence and uniqueness

(2018) Manuel V. Gnann et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

Liquid Drops on a Rough Surface

(2018) William M. Feldman et al.   COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS

Contact-line singularities resolved exclusively by the Kelvin effect: volatile liquids in air

(2018) A. Y. Rednikov et al.   JOURNAL OF FLUID MECHANICS

Weak solutions to thin-film equations with contact-line friction

(2017) Maria Chiricotto et al.   INTERFACES AND FREE BOUNDARIES

Rigorous asymptotics of traveling-wave solutions to the thin-film equation and Tanner’s law

(2016) Lorenzo Giacomelli et al.   NONLINEARITY

Well-Posedness for a Class of Thin-Film Equations with General Mobility in the Regime of Partial Wetting

(2015) Hans Knüpfer   ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS

Darcy’s Flow with Prescribed Contact Angle: Well-Posedness and Lubrication Approximation

(2015) Hans Knüpfer et al.   ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS

Can hydrodynamic contact line paradox be solved by evaporation–condensation?

(2015) V. Janeček et al.   JOURNAL OF COLLOID AND INTERFACE SCIENCE

Well-Posedness and Self-Similar Asymptotics for a Thin-Film Equation

(2015) Manuel V. Gnann   SIAM JOURNAL ON MATHEMATICAL ANALYSIS

Well-posedness for the Navier-slip thin-film equation in the case of complete wetting

(2014) Lorenzo Giacomelli et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

Moving Contact Lines: Scales, Regimes, and Dynamical Transitions

(2013) Jacco H. Snoeijer et al.   Annual Review of Fluid Mechanics

Well-Posedness and Uniform Bounds for a Nonlocal Third Order Evolution Operator on an Infinite Wedge

(2013) Hans Knüpfer et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS

Derivation of continuum models for the moving contact line problem based on thermodynamic principles

(2013) Weiqing Ren et al.   Communications in Mathematical Sciences

Scaling laws for droplets spreading under contact-line friction

(2013) Maria Chiricotto et al.   Communications in Mathematical Sciences

Moving contact line of a volatile fluid

(2013) V. Janeček et al.   PHYSICAL REVIEW E

Singularity-free description of moving contact lines for volatile liquids

(2013) Alexey Rednikov et al.   PHYSICAL REVIEW E

Quasistatic Evolution of Sessile Drops and Contact Angle Hysteresis

(2011) Giovanni Alberti et al.   ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS

Well-posedness for the Navier Slip Thin-Film equation in the case of partial wetting

(2011) Hans Knüpfer   COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS

Dynamics of moving contact lines: A comparison between slip and precursor film models

(2011) N. Savva et al.   EPL

Continuum models for the contact line problem

(2010) Weiqing Ren et al.   PHYSICS OF FLUIDS

Dynamics and stability of thin liquid films

(2009) R. V. Craster et al.   REVIEWS OF MODERN PHYSICS

Wetting and spreading

(2009) Daniel Bonn et al.   REVIEWS OF MODERN PHYSICS

Smooth zero-contact-angle solutions to a thin-film equation around the steady state

(2008) Lorenzo Giacomelli et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

Solvability condition for the moving contact line

(2008) L. M. Pismen et al.   PHYSICAL REVIEW E