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Bowen Lab
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An applied mathematics lab that reads the motion of thin liquid films through equations.
AboutAbout the lab
Reading the motion of thin liquid films through equations
The Bowen Lab studies the motion of thin liquid films (thin films) using mathematical equations.
The lab treats phenomena such as thin film rupture and moving boundaries (free boundary problems) as higher-order partial differential equations, and investigates the properties of their solutions.
The lab carries out its analysis by combining perturbation methods, bifurcation theory, and ideas from dynamical systems with numerical computation.
These equations and the methods used to solve them can also be applied to a wide range of problems beyond thin films.
Key terms
- Thin film equation
- A higher-order partial differential equation that describes how the thickness of a thin liquid film changes over time
- Free boundary problem
- A mathematical problem in which the boundary of the region under consideration itself moves over time
- Perturbation method
- A method of solving a complicated equation approximately by treating it as a small deviation from a simpler equation that can be solved
ResearchResearch themes
The lab mathematically analyzes partial differential equations that describe changes in the thickness of thin liquid films (thin films). It investigates film rupture and the motion of boundaries using both analytical methods and numerical computation.
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MembersFaculty
The members of the Bowen Lab consist of faculty and undergraduate students.
- ProfessorMark Bowen
VoicesStudent voices
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Report an errorAbout the images
The top and research theme images are illustrative and were not taken at the lab. They are cropped from Wikimedia Commons images. Cropped CC BY-SA images are provided under the same CC BY-SA license as the original (version shown on each line).
- Top image: “Diesel fuel on wet asphalt mj1” Mariojan photo / CC BY 4.0 (cropped)
- Analysis of thin film equations: “Thin Film Interference Soap Bubble” Pksois23 / CC BY-SA 4.0 (cropped)
- Related lab (Ohnita Lab): “Quaternion 4D x0,25 y0,5 z” PantheraLeo1359531 / CC BY-SA 4.0 (cropped)
- Related lab (Chin Lab): “ESD of normalized Gaussian matrix size 1500x1500” Itamer9 / CC0 (cropped)
- Related lab (Kuto Lab): “Belousov Zhabotinsky reaction ( )” Stephen Morris / CC BY 2.0 (cropped)
- Related lab (Kozono Lab): “A340 wake turbulence simulation” Deutsches Zentrum für Luft und Raumfahrt / CC BY 3.0 de (cropped)
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