Uncertainty Quantification in Kinetic Equations
The Vlasov Fokker Planck Equation with High Dimensional Parametric Forcing Term. [pdf]
Shi Jin, Yuhua Zhu*, and Enrique Zuazua.
Numerische Mathematik, 2021.
A Local Sensitivity and Regularity Analysis for the Vlasov-Poisson-Fokker-Planck System with Multi-dimensional Uncertainty and the Spectral Convergence of the Stochastic Galerkin Method. [pdf]
Networks and Heterogeneous Media, 14(4), 677-707, 2019.
An Uncertainty Quantification Approach to the Study of Gene Expression Robustness. [pdf]
Pierre Degond, Shi Jin and Yuhua Zhu*.
Methods and Applications of Analysis (A special issue in honor of the 80th birthday of Prof. Ling Hsiao), 2019.
Hypocoercivity and Uniform Regularity for the Vlasov-Poisson-Fokker-Planck System with Uncertainty and Multiple Scales. [pdf]
Shi Jin and Yuhua Zhu*.
SIAM Journal on Mathematical Analysis, 50, 1790-1816, 2018.
The Vlasov-Poisson-Fokker-Planck System with Uncertainty and a One-Dimensional Asymptotic-Preserving Method. [pdf]
Yuhua Zhu and Shi Jin.
Multiscale Modeling and Simulation, 15, 1502-1529, 2018.
Stabilization of the Vlasov Fokker Planck Equation with Reflective Boundary Condition. [pdf]
Michael Herty, Shi Jin and Yuhua Zhu*.
Under Minor Revision at Mathematical Control and Related Fields.