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Applied Analysis Lab (Masaya Maeda)
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Whether a wave that travels while holding its shape stays intact without breaking down, studied through nonlinear partial differential equations.
AboutAbout the lab
Checking with equations whether a wave holds its shape
Prof. Maeda studies nonlinear partial differential equations.
A central theme is whether a wave that travels while keeping its shape (a soliton) remains intact after being perturbed (asymptotic stability).
The work deals with equations such as the nonlinear Schrödinger equation and the Klein-Gordon equation.
Key terms
- Nonlinear partial differential equation
- Among equations relating a function of several variables to its rates of change, one for which the superposition of solutions does not hold
- Soliton
- A wave that keeps traveling without losing its shape
- Asymptotic stability
- The property that, even when slightly perturbed, a system approaches its original state as time passes
ResearchResearch themes
The professor specializes in nonlinear partial differential equations.
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MembersFaculty
- ProfessorMasaya Maeda
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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: “Soliton de Peregrine” Christophe.Finot / CC BY-SA 3.0 (cropped)
- Stability of solitons: “Soliton hydro” Christophe.Finot et Kamal HAMMANI / CC BY-SA 2.5 (cropped)
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