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Nishibata Lab
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The lab uses mathematical methods to analyze nonlinear partial differential equations that arise in mathematical physics.
AboutAbout the lab
Analyzing nonlinear partial differential equations mathematically
The Nishibata Lab studies the mathematical analysis of nonlinear partial differential equations that arise in mathematical physics and related areas.
Hyperbolic-elliptic systems, shock waves, and model equations for semiconductors are listed as the lab's research keywords.
The work falls within mathematical analysis, a field spanning analysis and the theory of differential equations.
Key terms
- Partial differential equation
- An equation that involves rates of change with respect to several variables. It is used to describe phenomena that extend through space, such as waves and flows.
- Shock wave
- A wave that travels through a medium such as a gas as a surface across which pressure or density changes abruptly.
- Mathematical analysis
- A field that rigorously investigates differential equations and similar objects using mathematical theory. It clarifies the existence of solutions and the properties of their behavior.
ResearchResearch themes
The lab works on the mathematical analysis of nonlinear partial differential equations that arise in mathematical physics and related areas. Its subjects include hyperbolic-elliptic systems, shock waves, and model equations for semiconductors.
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MembersFaculty
- ProfessorNishibata ShinyaPublications ↗
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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: “Collision de solitons hydrodynamiques” Christophe.Finot, Julien Fatome, Stéphane Pitois / CC BY-SA 4.0 (cropped)
- Stability of Outflowing Gas: “Three flows over the sphere” Bernard de Go Mars / CC BY-SA 3.0 (cropped)
- Related lab (高橋仁研究室): “Heat” Nicoguaro. Based on File:Heat eqn.gif by en:User:Oleg Alexandrov / CC BY 4.0 (cropped)
- Related lab (鹿島亮研究室): “Formulas on an old blackboard (Unsplash)” Roman Mager roman_lazygeek / CC0 (cropped)
- Related lab (田中健一郎研究室): “Domain coloring x2-1 x-2-i x-2-i d x2+2+3i” Djiboun / CC BY-SA 4.0 (cropped)
- Related lab (梅原雅顕研究室): “Catalan minimal surface 03” Rectas / CC0 (cropped)
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