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Ohtsuka Lab
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A mathematical analysis lab that uses equations to study how interfaces change over time.
AboutAbout the lab
Describing the changes of interfaces through mathematics.
The Ohtsuka Lab uses nonlinear partial differential equations and geometric evolution equations to study the mathematics and numerical analysis of phenomena in which interfaces change over time.
The lab also works on the mathematics of phenomena such as the spiral growth of crystals and the penetration of corrosive liquids into coatings.
It also continues its research on data classification methods based on diffusion equations.
Its current research aims to combine the theory of viscosity solutions with variational approaches for nonlocal and singular interface evolution equations.
Key terms
- Geometric evolution equation
- An equation that describes how the shape of a curve or surface changes over time
- Viscosity solution
- A notion of solution for partial differential equations that allows solutions to be considered even when they are not smooth
- Spiral growth
- A phenomenon in which a crystal grows while spiral steps form on its surface
ResearchResearch themes
The lab mathematically studies phenomena in which interfaces change over time, using nonlinear partial differential equations and geometric evolution equations. It has also worked on the spiral growth of crystals, phase-field models of interface evolution problems, and data classification methods based on diffusion equations.
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MembersFaculty
- ProfessorTakeshi Ohtsuka
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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: “Convex curve shortening” David Eppstein / CC0 (cropped)
- Viscosity solutions and variational approaches for interface evolution equations: “Silver surface crystal growth SEM” Fernando Estel / CC BY-SA 3.0 (cropped)
- Related lab (相木研究室): “VortexRingEtna” DavidMPyle / CC BY-SA 4.0 (cropped)
- Related lab (江崎研究室): “WienerSausage” R.e.b. / Public domain (cropped)
- Related lab (八森研究室): “Secp256k1” https://en.bitcoin.it/wiki/User:Theymos / CC BY-SA 3.0 (cropped)
- Related lab (加塩研究室): “Spirale Ulam 150” Généré avec la librairie GD de PHP, par Cortexd / Public domain (cropped)
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