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Ozawa Lab
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The lab uses mathematics to rigorously uncover the laws that govern physical phenomena.
AboutAbout the lab
Expressing the invisible through mathematics.
The Ozawa Lab studies the laws that govern physical phenomena, uncovering them rigorously in the language of mathematics.
The lab mathematically proves whether solutions exist for the equations that describe quantum mechanics, plasma, and fluid motion.
In mathematical physics, the field where physics and mathematics intersect, the lab aims to open up new areas of mathematics and physics.
Key terms
- Differential equation
- A mathematical expression that uses rates of change (derivatives) to describe how physical phenomena change over time and space
- Mathematical physics
- The academic field that rigorously elucidates the mathematical structures underlying physical laws
- Existence proof of solutions
- The task of mathematically showing that an answer (solution) satisfying an equation actually exists
NewsLab news
View More ↗ResearchResearch themes
By elucidating the mathematical structures that underlie physical laws, the Ozawa Lab builds the mathematical foundations of theoretical physics and opens up new areas of mathematics and physics.
*Illustrative imageUnderstanding wave fields through mathematics
The lab mathematically studies the existence and properties of solutions to equations that describe electromagnetic waves and particles as "fields" (such as the nonlinear Schrödinger equation).
*Illustrative imageMathematical foundations of quantum mechanics
The lab uses functional analysis, a mathematical method, to study the properties of the equations that underlie quantum mechanics (Schrödinger operators).
*Illustrative imageDescribing plasma waves with equations
The lab uses equations to mathematically study waves that propagate through plasma, such as the plasma found in space (for example, Alfvén waves).
*Illustrative imageSolving fluid equations with mathematics
Based on equations such as the Navier–Stokes equations, which describe the flow of water and air, the lab mathematically analyzes fluid motion.
MembersFaculty
- Tohru Ozawa
VoicesStudent voices
Compiled from answers by students who were in the lab. Ratings and reviews reflect individual students' experiences, not the lab's official views.
Students who take part in an interview may receive a thank-you gift worth ¥1,000, regardless of what they say.
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RelatedLabs similar to Ozawa Lab
Harayama LabSchool of Advanced Science and Engineering, Department of Applied PhysicsNonlinear physics
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Tabe LabSchool of Advanced Science and Engineering, Department of Applied PhysicsSoft matter physics
Mizokawa LabSchool of Advanced Science and Engineering, Department of Applied PhysicsSolid-state physics, synchrotron radiation spectroscopyThe information on this page is compiled by the LabLog team from the lab's public information and interviews. For corrections or removal requests, please contact LabLog, not the lab.
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: “World First Hiperboloid structure named Shukhov Tower in Polibino” Arssenev / CC BY-SA 4.0 (cropped)
- Understanding wave fields through mathematics: “Tidal Bore, Petitcodiac River, Moncton, NB ( )” Larry from Charlottetown, PEI, Canada / CC BY 2.0 (cropped)
- Mathematical foundations of quantum mechanics: “Wakayama003” Kumiko Korezumi / CC BY-SA 4.0 (cropped)
- Describing plasma waves with equations: “Aurora in Abisko near Torneträsk” Pavel.shyshkouski / CC BY-SA 4.0 (cropped)
- Solving fluid equations with mathematics: “Von Karman vortices off Rishiri Island, Japan” NASA / Public domain (cropped)
- Related lab (原山研究室): “Neighborhood of attractor of discretized Lorenz system. XYZ(9) plane” German A. Chernykh & Irina A. Chernykh / CC BY-SA 4.0 (cropped)
- Related lab (望月研究室): “Феррожидкость в магнитном поле” Gribkov / CC BY 4.0 (cropped)
- Related lab (多辺研究室): “Texture in a polarizing microscope of a B7 bent-core phase of a liquid crystal” Ingo Dierking / CC BY-SA 4.0 (cropped)
- Related lab (溝川研究室): “ESRF img 0853” Rama / CC BY-SA 2.0 fr (cropped)
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