Zihui He
Zihui He
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I am a postdoctoral researcher in the Faculty of Mathematics at Bielefeld University with Prof. Matthias Erbar. Previously, I completed my Ph.D. in the Institute for Analysis at Karlsruhe Institute of Technology under the supervision of JProf. Xian Liao.
Email: zihui.he@uni-bielefeld.de
Office: V4-238
Address:
Fakultät für MathematikUniversität Bielefeld33615 BielefeldResearch interests: PDEs in kinetic theory and fluid mechanics
Papers:
Papers:
GENERIC formulation and small-angle limit for Kinetic wave equations Joint work with Hong Duong (preprint)
On a fuzzy Landau Equation: Part II. Solvability results. Joint work with Hong Duong (preprint)
Passing to the limit in fuzzy Boltzmann equations. Joint work with Matthias Erbar (preprint)
On a fuzzy Landau Equation: Part I. A variational approach. Joint work with Hong Duong (preprint)
A variational approach to a fuzzy Boltzmann equation. Joint work with Matthias Erbar, Nonlinearity (2025)
Solvability of the two-dimensional stationary incompressible inhomogeneous Navier-Stokes equations with variable viscosity coefficient. Joint work with Xian Liao, Commun. Contemp. Math. (2024)
Turbulent cascades for a family of damped Szegö equations. Joint work with Patrick Gérard and Sandrine Grellier, Nonlinearity (2022)
On the two-dimensional Boussinesq equations with temperature-dependent thermal and viscosity diffusion. (correction) Joint work with Xian Liao, Zeitschrift für angewandte Mathematik und Physik (2022)
Talks:
Interacting Particle Systems and Kinetic Equations, Birmingham, July 2025
Séminaire Équations aux dérivées partielles, Besançon, June 2025
Gradient Flows, Large Deviation Theory, and Macroscopic Fluctuation Theory, Bielefeld, June 2024
Equadiff 2024, Karlstad, June 2024
Workshop: Analysis of PDEs in Free Boundary Problems, Bad Teinach, February 2024
CRC 1283 Retreat 2023, Hofgeismar, August 2023
Workshop on Analysis of PDEs in Karlsruhe, Karlsruhe, March 2023
Mathematical Fluid Mechanics In 2022, Prague, August 2022
Seminar on Partial Differential Equations, Prague, May 2022
Double seminar on Analysis, Geometry and PDEs, Lund, April 2022
AG Nichtlineare Partielle Differentialgleichungen Seminar, Karlsruhe, November 2021
Séminaire Analyse Numérique et E.D.P, Orsay, June 2021
Séminaire des doctorants ANH et ANEDP, Orsay, April 2021
AG Nichtlineare Partielle Differentialgleichungen Seminar, Karlsruhe, December 2020
Summer School on Unique Continuation and Inverse Problems, Kopp, September 2018
Summer School on Decoupling and Polynomial Methods in Analysis, Kopp, October 2017
Other:
Co-organising mini-symposium ''(In-)Stability, Dispersion and Weak Turbulence: From Fluid Flow to Hamiltonian Systems'' at Conference on Mathematics of Wave Phenomena, Karlsruhe, February 2025
Teaching:
Teaching:
Bielefeld University
Co-organising Seminar: Introduction to fluid dynamics, summer 2025
Co-organising Seminar: Introduction to Boltzmann equations, winter 2024/25
Co-organising Seminar: Variational Structures for Dissipative PDEs, summer 2024
Co-organising Seminar: Optimal transport and Applications, winter 2022/23
Karlsruhe Institute of Technology
Teaching assistant (Tutorial classes, homework assignments, exams organisation)
Fourier analysis and its applications to PDEs, winter 2021/22
Boundary and Eigenvalue Problems, summer 2021 (in German)
Classical Methods for Partial Differential Equations, winter 2020/21 (in German)
Boundary and Eigenvalue Problems, summer 2020
Classical Methods for Partial Differential Equations, winter 2019/20
Fourier analysis and its applications to PDEs, summer 2019
Dispersive equations, winter 2018/19
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