Jiajia Guo 郭佳佳

I'm a final year applied math grad student at the University of Michigan. My advisor is Selim Esedoglu.

I'm interested in numerical analysis, calculus of variations, fluid dynamics, partial differential equations and applied dynamical systems.

I will join the Department of Mathematical Sciences at Carnegie Mellon University as a Walter Noll Postdoctoral Researcher in September 2025.

Contact

Department of MathematicsUniversity of Michigan4848 East Hall, 530 Church StreetAnn Arbor, MI 48109

Email: jiajiag at umich dot edu

Swimming Microorganisms, Active Particles

J.-L. Thiffeault and J. Guo, Anisotropic Active Brownian Particle with A Fluctuating Propulsion Force, Physical Review E 106(1), L012603, July 2022. DOI: https://doi.org/10.1103/PhysRevE.106.L012603.

Monotone and Higher Order Schemes for Motion by Mean Curvature:

S. Esedoglu and J. Guo, A Monotone, Second Order Accurate Scheme for Curvature Motion, SIAM Journal on Numerical Analysis 60(5), 2435-2447, October 2022. DOI: https://doi.org/10.1137/21M1466050.

Median Filters for Multiphase Interfacial Motions:

S. Esedoglu, J. Guo and D. Li, On Median Filters for Motion by Mean Curvature, Mathematics of Computation, 93:2679–2710, February 2024. DOI: https://doi.org/10.1090/mcom/3940.
J. Guo and S. Esedoglu, Median Filters for Anisotropic Wetting / Dewetting Problems. To appear in SIAM Journal on Scientific Computing. DOI: https://doi.org/10.48550/arXiv.2412.12384

Mixing and Shell Model:

J. Guo, B. Wen, C. Seis, C. R. Doering, Long-term Behavior of Optimal Mixing with Fixed Enstrophy Based on A Shell Model. preliminary version available upon request.

You can find a link to my CV here.

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