My research primarily focuses on partial differential equations, dynamical systems, and mathematical physics, with a particular interest in kinetic theory, dispersive equations, and integrable systems.
Zhimeng Ouyang
Research Assistant Professor
zho325@lehigh.edu
Education:
B.S., Peking University, 2011-2015
Ph.D., Brown University, 2015-2021
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Research Statement
Biography
I obtained my B.S. from Peking University and Ph.D. from Brown University. I previously worked as postdoc at UCLA and UChicago.
Some recent works:
- Diffusive Limit of the Boltzmann Equation in Bounded Domains. (with Lei Wu). Communications in Mathematical Physics, 405 (2024), 279.
- Conditional L∞ Estimates for the Non-Cutoff Boltzmann Equation in a Bounded Domain. (with Luis Silvestre). Archive for Rational Mechanics and Analysis, 248 (2024), 59.
- Diffusive Limit of the Unsteady Neutron Transport Equation in Bounded Domains. Journal of Statistical Physics, 191 (2024), 74.
- The Local Well-Posedness of the Relativistic Vlasov-Maxwell-Landau System with the Specular Reflection Boundary Condition. (with Hongjie Dong, Yan Guo, and Timur Yastrzhembskiy). SIAM Journal on Mathematical Analysis, 56 (2024), 6613–6688.