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Kozono Lab
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An analysis lab that rigorously explains the motion of fluids using mathematics.
AboutAbout the lab
Analyzing the motion of fluids mathematically
Kozono Lab studies the Navier-Stokes equations, which describe the motion of fluids such as water and air.
Using methods of real analysis, the lab mathematically clarifies whether solutions to the equations exist and what properties they have.
The lab also studies the properties of turbulence (irregular, disordered flow) by combining nonlinear analysis with computational science.
Key terms
- Navier-Stokes equations
- Fundamental equations that describe the motion of fluids such as water and air
- Turbulence
- A state of fluid in which the flow becomes irregular and many vortices form
- Partial differential equation
- An equation for a function that involves multiple rates of change (derivatives)
ResearchResearch themes
The lab mathematically studies the Navier-Stokes equations, which describe the motion of fluids such as water and air, using methods of real analysis. It also works on clarifying the properties of turbulence by combining nonlinear analysis with computational science.
*Illustrative imageAnalysis of the Navier-Stokes Equations
For the Navier-Stokes equations, which describe the motion of fluids, the lab mathematically investigates whether solutions exist and what properties the solutions have.
*Illustrative imageMathematical Theory of Turbulence
The lab works on clarifying the properties of irregular, disordered turbulence by combining the theory of nonlinear partial differential equations with computational fluid dynamics.
MembersFaculty
- ProfessorHideo Kozono
VoicesStudent voices
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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: “A340 wake turbulence simulation” Deutsches Zentrum für Luft und Raumfahrt / CC BY 3.0 de (cropped)
- Analysis of the Navier-Stokes Equations: “False color image of the far field of a submerged turbulent jet” C. Fukushima and J. Westerweel, Technical University of Delft / CC BY 3.0 (cropped)
- Mathematical Theory of Turbulence: “Helicopter blade tip vortex simulation by DLR” DLR / CC BY 3.0 (cropped)
- Related lab (Mitake Lab): “Bubble on an ultrahydrophobic surface” Stevearscott / CC BY-SA 4.0 (cropped)
- Related lab (Ogawa Lab): “Chladni plate 14” Exhibit made by Estes Objethos Atelier, photo by Rodrigo Tetsuo Argenton / CC BY-SA 4.0 (cropped)
- Related lab (Ikeda Lab): “Mathematisches-Gipsmodell.Fläche3.Ordnung - Kopie” Museopedia / CC BY-SA 4.0 (cropped)
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