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Takada Lab
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A lab studying partial differential equations, using mathematics to analyze the equations of fluids.

AboutAbout the lab
Unraveling how flows work through mathematics.
The Takada Lab studies nonlinear partial differential equations arising in fluid dynamics from the viewpoint of mathematical analysis.
Its goal is to clarify mathematically the various patterns of flow that fluids create and the mechanisms behind them.
Focusing on the Euler equations, the Navier-Stokes equations, the Boussinesq equations, and others, the lab investigates well-posedness, stability of solutions, and asymptotic behavior, using methods from harmonic analysis and functional analysis.
Recently, the lab has become interested in the mathematical analysis of the dispersive and anisotropic effects of rotation and stable stratification in large-scale fluids.
Key terms
- Nonlinear
- A property in which cause and effect are not proportional. In an equation, unknown quantities are multiplied together.
- Well-posedness
- The property that a solution to an equation exists, is unique, and depends continuously on the initial state.
- Stable stratification
- A stable layered state in which heavier fluid lies below and lighter fluid lies above.
ResearchResearch themes
The lab studies nonlinear partial differential equations arising in fluid dynamics from the viewpoint of mathematical analysis. Its goal is to clarify mathematically the patterns of flow that fluids create and the mechanisms behind them.
View More ↗MembersFaculty
- Associate ProfessorRyo TakadaPublications ↗
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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: “Kelvin-Helmholtz instability clouds” Brocken Inaglory / CC BY-SA 3.0 (cropped)
- Nonlinear Partial Differential Equations of Fluids: “Oceanic nonlinear internal waves in the Banda Sea (afternoon overpass) (MODIS )” Jeff Schmaltz, MODIS Land Rapid Response Team, NASA GSFC / Public domain (cropped)
- Related lab (Miyamoto Lab): “TuringPattern” Ex.ungue.leonem / Public domain (cropped)
- Related lab (Iwaki Lab): “AiryAi Abs Surface” Inductiveload / Public domain (cropped)
- Related lab (Sakai Lab): “Modell der Weierstraßschen p-Funktion -Schilling, XIV, 7ab, 8 - 313, 314” Oliver Zauzig / CC BY-SA 3.0 (cropped)
- Related lab (Matui Lab): “Cantors cube” User:Solkoll / Public domain (cropped)
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