Zihui He
Zihui He
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Since May 2022, I am a postdoctoral researcher in the Faculty of Mathematics at Bielefeld University with Prof. Matthias Erbar. From October 2018 to April 2022, I completed my Ph.D. 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
GENERIC (General Equation for Non-Equilibrium Reversible-Irreversible Coupling) framework
Weak turbulence theory
Recent events: Workshop: Analysis of PDEs in Dalian, 25-29 May, 2026
Papers:
Papers:
Kinetic equation
Kinetic equation
On a fuzzy Landau Equation: Part III. The grazing collision limit. With Hong Duong and Boris Golubkov (arXiv:2512.04713)
GENERIC formulation and small-angle limit for Kinetic wave equations. With Hong Duong (arXiv:2508.13871)
On a fuzzy Landau Equation: Part II. Solvability results. With Hong Duong (arXiv:2507.10288)
Passing to the limit in fuzzy Boltzmann equations. With Matthias Erbar (arXiv:2505.05838)
On a fuzzy Landau Equation: Part I. A variational approach. With Hong Duong (arXiv:2504.07666)
A variational approach to a fuzzy Boltzmann equation. With Matthias Erbar, Nonlinearity (2025)
(Non-)dispersive equation
Turbulent cascades for a family of damped Szegö equations. With Patrick Gérard and Sandrine Grellier, Nonlinearity (2022)
Fluid mechanics
Three-dimensional stationary incompressible inhomogeneous Navier-Stokes equation in the axially symmetric case. (arXiv:2212.1442)
Solvability of the two-dimensional stationary incompressible inhomogeneous Navier-Stokes equations with variable viscosity coefficient. With Xian Liao, Commun. Contemp. Math. (2024)
On the two-dimensional Boussinesq equations with temperature-dependent thermal and viscosity diffusion. (correction) With Xian Liao, Zeitschrift für angewandte Mathematik und Physik (2022)
see also Google scholar zbMATH Researchgate
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
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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