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Ishige Lab
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The lab studies the shape and time evolution of solutions to parabolic equations.
AboutAbout the lab
The shape and fate of solutions to equations.
The Ishige Lab studies the properties of solutions to parabolic equations in the field of partial differential equations.
Through asymptotic analysis and shape analysis, the lab investigates the qualitative properties of solutions.
The lab has also studied equations with nonlinear boundary conditions and dynamic boundary conditions.
Key terms
- Parabolic equation
- A family of partial differential equations that describe how things change over time, typified by the heat equation, which describes how heat spreads.
- Asymptotic analysis
- A method for studying the behavior of solutions in a limit, such as when a sufficiently long time has passed.
- Blow-up
- A phenomenon in which the solution of an equation becomes infinite within a finite time.
ResearchResearch themes
The research field is partial differential equations, with asymptotic analysis and shape analysis of parabolic equations as its themes. The lab investigates the motion and shape of the maximum points of solutions, and their behavior as time passes.
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MembersFaculty
- ProfessorKazuhiro IshigePublications ↗
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Write a lab reviewAnonymous · Your draft is saved if you stopRelatedLabs similar to Ishige Lab
Takada LabFaculty of Science, Department of MathematicsTheory of partial differential equations
Hirachi LabFaculty of Science, Department of MathematicsSeveral complex variables; parabolic geometry
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Miyamoto LabFaculty of Science, Department of MathematicsNonlinear partial differential equationsThe 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: “Heat Equation 1D BE Color” Gong Chen, Brandon Cloutier, Ning Li, Benson K. Muite and Paul Rigge with contributions from Sudarshan Balakrishnan, Andre Souza and Jeremy West / CC BY-SA 3.0 (cropped)
- Asymptotic Analysis and Shape Analysis of Parabolic Equations: “Heat eqn” Oleg Alexandrov / Public domain (cropped)
- Related lab (Takada Lab): “Kelvin-Helmholtz instability clouds” Brocken Inaglory / CC BY-SA 3.0 (cropped)
- Related lab (Hirachi Lab): “Stereographic projection grid” Henry Segerman / CC BY-SA 3.0 (cropped)
- Related lab (Iwaki Lab): “AiryAi Abs Surface” Inductiveload / Public domain (cropped)
- Related lab (Miyamoto Lab): “TuringPattern” Ex.ungue.leonem / Public domain (cropped)
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