• 229 Citations
  • 7 h-Index
20012018
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Research Output 2001 2018

  • 229 Citations
  • 7 h-Index
  • 13 Article
  • 1 Book
2018

Pressure-dipole solutions of the thin-film equation

Bowen, M. & WITELSKI, T. P., 2018 Apr 2, (Accepted/In press) In : European Journal of Applied Mathematics. p. 1-42 42 p.

Research output: Contribution to journalArticle

Thin Film Equation
Self-similar Solutions
Sign Change
Dipole
Thin films
2015
5 Citations (Scopus)
Continuous System
Mathematical Modeling
Differential equation
Integrated Process
Matched Asymptotic Expansions
2013
3 Citations (Scopus)

Dynamics of a viscous thread on a non-planar substrate

Bowen, M. & King, J. R., 2013, In : Journal of Engineering Mathematics. 80, 1, p. 39-62 24 p.

Research output: Contribution to journalArticle

Thread
Substrate
Wedge
Fluids
Substrates
5 Citations (Scopus)

On self-similar thermal rupture of thin liquid sheets

Bowen, M. & Tilley, B. S., 2013 Oct 23, In : Physics of Fluids. 25, 10, 102105.

Research output: Contribution to journalArticle

Reynolds number
liquids
inertia
viscous fluids
lamella
2012
5 Citations (Scopus)

Thermally induced van der Waals rupture of thin viscous fluid sheets

Bowen, M. & Tilley, B. S., 2012 Mar 14, In : Physics of Fluids. 24, 3, 032106.

Research output: Contribution to journalArticle

viscous fluids
heat transfer
perturbation
planetary waves
phase modulation
2006
17 Citations (Scopus)

The linear limit of the dipole problem for the thin film equation

Bowen, M. & Witelski, T. P., 2006, In : SIAM Journal on Applied Mathematics. 66, 5, p. 1727-1748 22 p.

Research output: Contribution to journalArticle

Thin Film Equation
Dipole
Similarity Solution
Thin films
Moving Boundary Problem
2005
17 Citations (Scopus)

Nonlinear dynamics of two-dimensional undercompressive shocks

Bowen, M., Sur, J., Bertozzi, A. L. & Behringer, R. P., 2005 Sep 15, In : Physica D: Nonlinear Phenomena. 209, 1-4 SPEC. ISS., p. 36-48 13 p.

Research output: Contribution to journalArticle

Thermal gradients
Nonlinear Dynamics
Shock
shock
Thin films
7 Citations (Scopus)

Thermocapillary control of rupture in thin viscous fluid sheets

Tilley, B. S. & Bowen, M., 2005 Oct 25, In : Journal of Fluid Mechanics. 541, p. 399-408 10 p.

Research output: Contribution to journalArticle

viscous fluids
temperature profiles
Fluids
velocity distribution
lubrication
2004
3 Citations (Scopus)

The self-similar solution for draining in the thin film equation

Van Den Berg, J. B., Bowen, M., King, J. R. & El-Sheikh, M. M. A., 2004 Jun, In : European Journal of Applied Mathematics. 15, 3, p. 329-346 18 p.

Research output: Contribution to journalArticle

Zero angle
Thin Film Equation
Contact Angle
Self-similar Solutions
Contact angle
2003
95 Citations (Scopus)

ADI schemes for higher-order nonlinear diffusion equations

Witelski, T. P. & Bowen, M., 2003 May, In : Applied Numerical Mathematics. 45, 2-3, p. 331-351 21 p.

Research output: Contribution to journalArticle

Alternating Direction
Nonlinear Diffusion Equation
Implicit Scheme
Thin Film Equation
Higher Order
2001
12 Citations (Scopus)

Anomalous exponents and dipole solutions for the thin film equation

Bowen, M., Hulshof, J. & King, J. R., 2001, In : SIAM Journal on Applied Mathematics. 62, 1, p. 149-179 31 p.

Research output: Contribution to journalArticle

Thin Film Equation
Similarity Solution
Dipole
Anomalous
Phase Space
12 Citations (Scopus)

Asymptotic behaviour of the thin film equation in bounded domains

Bowen, M. & King, J. R., 2001, In : European Journal of Applied Mathematics. 12, 2, p. 135-157 23 p.

Research output: Contribution to journalArticle

Zero angle
Thin Film Equation
Extinction Time
Degenerate Diffusion
Degenerate Equations
8 Citations (Scopus)

Intermediate asymptotics of the porous medium equation with sign changes

Hulshof, J., King, J. R. & Bowen, M., 2001, In : Advances in Differential Equations. 6, 9, p. 1115-1152 38 p.

Research output: Contribution to journalArticle

Porous Medium Equation
Sign Change
Porous materials
Similarity Solution
Scenarios
40 Citations (Scopus)

Moving boundary problems and non-uniqueness for the thin film equation

King, J. R. & Bowen, M., 2001, In : European Journal of Applied Mathematics. 12, 3, p. 321-356 36 p.

Research output: Contribution to journalArticle

Thin Film Equation
Moving Boundary Problem
Nonuniqueness
Thin films
Nonnegative Solution