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Analysis 1 (Theory of Partial Differential Equations) Lab (Senjo Shimizu)
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A lab that studies the equations of fluid flow using maximal regularity.
AboutAbout the lab
Solving the equations that describe flow with analysis
The Shimizu Lab studies the theory of partial differential equations in the field of analysis.
Centered on the idea of maximal regularity, the lab investigates equations describing fluid motion, such as the Navier-Stokes equations.
Through joint research, the lab also works on free boundary problems and the equations of magnetohydrodynamics (electrically conducting fluids).
Key terms
- Navier-Stokes equations
- Partial differential equations that describe the motion of viscous fluids
- Maximal regularity
- A property guaranteeing that the solution is as smooth as the right-hand side of the equation
- Free boundary problem
- A problem in which the boundary itself moves, like a water surface, and is determined together with the solution
ResearchResearch themes
The lab studies the theory of partial differential equations, in particular maximal regularity and the Navier-Stokes equations.
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MembersFaculty
- ProfessorSenjo Shimizu
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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: “A water droplet collision on a water surface” Subhrajyoti07 / CC BY-SA 4.0 (cropped)
- Free Boundary Problems for Flow Equations: “Great Wave off Kanagawa2” After Katsushika Hokusai / Public domain (cropped)
- Related lab (Analysis 1 Lab (Partial Differential Equations, Real Analysis and Functional Analysis, Mathematical Fluid Dynamics; Yasunori Maekawa)): “Geodynamo simulation velocity field” Nathanaël Schaeffer / CC BY 4.0 (cropped)
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- Related lab (Analysis 1 (Theory of Partial Differential Equations, Mean Curvature Flow) Lab (Keisuke Takasao)): “Reflection in a soap bubble edit” Brocken Inaglory. The image was edited by user:Alvesgaspar / CC BY-SA 3.0 (cropped)
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