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Fourier Analysis, Partial Differential Equations, and Fluid Dynamics Lab
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The lab mathematically analyzes the equations that describe the motion of fluids.
AboutAbout the lab
Analyzing the motion of fluids mathematically
Associate Professor Terasawa conducts research that mathematically analyzes the fundamental equations describing the motion of fluids.
The main subjects are the Navier–Stokes equations, which describe the motion of incompressible viscous fluids, and their generalizations.
Motions described by the generalized equations include those of granular materials and non-Newtonian fluids.
Recently, Associate Professor Terasawa has been particularly interested in the two-layer fluid problem for non-Newtonian fluids.
Key terms
- Navier–Stokes equations
- Partial differential equations that describe the motion of incompressible Newtonian fluids
- non-Newtonian fluid
- A fluid made of polymers, such as gel or ketchup
- two-layer fluid
- A fluid system in which two kinds of fluid coexist, like water and oil
ResearchResearch themes
Associate Professor Terasawa constructs solutions to the Navier–Stokes equations, which describe the motion of incompressible viscous fluids, and to their generalizations, using methods such as maximal regularity and energy estimates.
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MembersFaculty
- Associate ProfessorYutaka Terasawa
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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: “Flow separation” Jaganath at English Wikipedia / CC BY-SA 3.0 (cropped)
- Mathematical analysis of the fundamental equations of fluids: “Controur Boxplots Fluid Simulation average standard deviation” Sciinstitute / CC BY-SA 3.0 (cropped)
- Related lab (Fourier Analysis and Partial Differential Equations Lab): “Ocean waves water” Jon Sullivan / Public domain (cropped)
- Related lab (Fourier Analysis and Partial Differential Equations Lab): “Ashbridge's Bay ripples, July 2019” Jason Zhang / CC BY-SA 3.0 (cropped)
- Related lab (Nakashima Lab): “Galton-watson(poisson(1),11gen, 47noeud)” Ipipipourax, S. Roger / CC0 (cropped)
- Related lab (Naito Lab): “Carbon lattice diamond” GYassineMrabetTalk✉ This structure was created with PyMOL. / Public domain (cropped)
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