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Tanaka Lab
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The lab is an analysis group that studies nonlinear equations using variational methods, a mathematical technique.
AboutAbout the lab
Taking on nonlinear equations with mathematics
The Tanaka Lab studies nonlinear partial differential equations using a mathematical technique called variational methods.
It targets equations whose solutions do not have simple forms, such as nonlinear elliptic equations and Hamiltonian systems.
The lab uses mathematics to determine whether solutions to these equations exist and what form they take.
Key terms
- Variational methods
- A mathematical method for finding solutions to equations by examining the state in which some quantity is at its largest (or smallest)
- Partial differential equation
- An equation for a function that involves multiple rates of change (derivatives)
- Hamiltonian system
- A mathematical framework for studying physical motion by describing it in terms of pairs of position and momentum
ResearchResearch themes
The lab studies the existence and properties of solutions to nonlinear partial differential equations, using a mathematical technique called variational methods.
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MembersFaculty
- Kazunaga Tanaka
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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: “Minimalfläche mit Seifenhaut Tetraeder 0326” Bin im Garten / CC BY-SA 3.0 (cropped)
- Nonlinear Partial Differential Equations: “Kette Kettenkurve Catenary 2008 PD” Kamel15 / CC BY-SA 3.0 (cropped)
- Related lab (福泉研究室): “Rogue wave (03)” F1jmm / CC0 (cropped)
- Related lab (小川研究室): “Chladni plate 14” Exhibit made by Estes Objethos Atelier, photo by Rodrigo Tetsuo Argenton / CC BY-SA 4.0 (cropped)
- Related lab (熊谷研究室): “Mandelbrot Set Image 112” Aokoroko / CC0 (cropped)
- Related lab (池田研究室): “Mathematisches-Gipsmodell.Fläche3.Ordnung - Kopie” Museopedia / CC BY-SA 4.0 (cropped)
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