Associate Professor

Dr. Ning Jiang (江宁) is currently an Associated Professor of the Mathematical Sciences Center of Tsinghua University.

His research field is on the macroscopic behavior of microscopic physical system, specifically, the fluid dynamics of the kinetic equations. His recent works focus on the justifications of acoustic, Stokes and Navier-Stokes dynamics from the Boltzmann equation. He studied boundary layer equations and also the hyperbolic-parabolic system with entropies, and furthermore, their derivations from kinetic equations. Recently, he is also interested in asymptotic analysis of multi-scale problems in applied fields.

Dr. Jiang graduated from Nanjing University and received a Master degree from Institute of Mathematics, Chinese Academy of Sciences. ?He completed his Ph.D program in University of Maryland under supervision of Prof. C. David Levermore. Then he went to Courant Institute of Mathematical Sciences of New York University, held positions as Courant Instructor and Visiting Assistant Professor. In summer 2010, he joined?the Mathematical Sciences Center of Tsinghua University.

publication list

1. Y. Guo, J. Jang, and N. Jiang, Local Hilbert Expansion For The Boltzmann Equation. Kinetic and Related Models, 2 (2008), no.1, 205–214.
2. J. Jang, and N. Jiang, Acoustic Limit of the Boltzmann Equation:Classical Solutions. Discrete Contin. Dynam. Systems-Series A, 25 (2009),no.3, 869–882.
3. Y. Guo, J. Jang, and N. Jiang, Acoustic Limit for the Boltzmann equation in Optimal Scaling. Communications on Pure and Applied Mathematics. 63 (2010), no. 3, 337--361.
4. N. Jiang, C. D. Levermore, and N. Masmoudi, Remarks on the Acoustic Limit for the Boltzmann Equation. To appear on Communications in Partial Differential Equations.(2010)
5. N. Jiang, C. D. Levermore, Weakly Nonlinear-Dissipative Approximations of Hyperbolic-Parabolic Systems with Entropy. To appear on Archive for Rational Mechanics and Analysis. (2010)
6. N. Jiang, Two Timescale Asymptotics of the Weakly Compressible Stokes System. To appear on Proceedings of the American Mathematical Society. (2010)
7. N. Jiang and N. Masmoudi, Kinetic-Fluids boundary layers and Applications to Hydrodynamic Limits of Boltzmann Equation in Bounded Domain. Communications on Pure and Applied Mathematics.
8. N. Jiang, C. D. Levermore, Global Existence and Regularity of Weakly Compressible Navier-Stokes System. To appear on Asymptotic Analysis. (2010)
9. N. Jiang, C. D. Levermore, Weakly Compressible Stokes Dynamics of the Boltzmann Equation. Preprint 2010, Submitted.
10. N. Jiang, Weakly Compressible Navier-Stokes dynamics of the Boltzmann equation. Preprint 2010, Submitted.
11. N. Jiang, F-H. Lin, Small Deborah number dynamics of the micro-macro models of 2-D polymeric fluids. Preprint 2010.
12. N. Jiang, N. Masmoudi, A Remark on the viscous boundary layer. Preprint 2010. Submitted.
13. N, Jiang, N. masmoudi, Higher order acoustic approximation of the linear Boltzmann equation in the bounded domain. In preparation.