Chun Liu

Education

Ph.D. - Courant Institute of Mathematical Sciences, New York University
M.S. - Duke University
B.S. - Fudan University

Publications

The following is a list of recent selected publications.

• C. Deng and C. Liu. Largest Well-Posed Spaces for the General Diffusion System with Nonlocal Interactions. Journal of Functional Analysis (2017), Vol. 272, Issue 10, pp. 4030–4062.
• M. Endo, Y. Giga, D. Götz, and C. Liu. Stability of a Two-Dimensional Poiseuille-Type Flow for a Viscoelastic Fluid. Journal of Mathematical Fluid Mechanics (2017), Vol. 19, Issue 1, pp. 17–45.
• L. Ma, X. Li, and C, Liu. Fluctuation-Dissipation Theorem Consistent Approximation of the Langevin Dynamics Model. Communications in Mathematical Sciences (2017), Vol. 15, No. 4, pp. 1171–1181.
• Y. Wang, C. Liu, and Z. Tan. Well-Posedness on a New Hydrodynamic Model of the Fluid with the Dilute Charged Particles. Journal of Differential Equations (2017), Vol. 262, Issue 1, pp. 68–115.
• T. Huang, F. Lin, C. Liu, and C. Wang. Finite Time Singularity of the Nematic Liquid Crystal Flow in Dimension Three. Archive for Rational Mechanics and Analysis (2016), Vol. 221, Issue 3, pp. 1223–1254.
• C.-C. Lee, H. Lee, Y. Hyon, T.-C. Lin, and C. Liu. Boundary Layer Solutions of Charge Conservation Poisson-Boltzmann Equations: One Dimensional Case. Communications in Mathematical Sciences (2016), Vol. 14, No. 4, pp. 911–940.
• M. Liao, L. Wan, S. Xu, C. Liu, and P. Sheng. The Poisson-Boltzmann Equation and the Charge Separation Phenomenon at the Silica-Water Interface: A Holistic Approach. Annals of Mathematical Sciences and Applications (2016), Vol. 1, Issue 1, pp. 217–249.
• L. Ma, X. Li, and C. Liu. From Generalized Langevin Equations to Brownian Dynamics and Embedded Brownian Dynamics. The Journal of Chemical Physics (2016), Vol. 145, Issue 11, Article Number 114102.
• L. Ma, X. Li, and C. Liu. The Derivation and Approximation of Coarse-Grained Dynamics from Langevin Dynamics. The Journal of Chemical Physics (2016), Vol. 145, Issue 20, Article Number 204117.
• M. S. Metti, J. Xu, and C. Liu. Energetically Stable Discretizations for the Charge Transport and Electrokinetic Models. Journal of Computational Physics (2016), Vol. 306, pp. 1–18.
• Y. Wang, C. Liu, and Z. Tan. A Generalized Poisson-Nernst-Planck-Navier-Stokes Model on the Fluid with the Crowded Charged Particles: Derivation and its Well-Posedness. SIAM Journal on Mathematical Analysis (2016), Vol. 48, No. 5, pp. 3191–3235.

Projects

• Complex Fluids
• Free Interface Motions
• General Diffusion
• Ionic Fluids and Ion Channels

Grants

• US–Israel BSF Grant (CoPIs C. Liu, R. S. Eisenberg, and N. S. Gavish): Continuum Mean-Field Models with Steric Effects: Gating in Ionic Channels, 2017-2021.
• NSF DMS–1714401 (PI C. Liu): Topics in Complex Fluids and Biophysiology: the Energetic Variational Approaches, 2017–2020.
• NSF DMS–1412005 (PI C. Liu): Energetic Variational Approaches in Complex Fluids and Electrophysiology, 2014–2017.
• DAAD Germany Grant (CoPIs C. Liu, A. Schlmerkemper, and C. J. Garcia-Cervera): Multiscale Effects of Materials with Microstructure, 2015–2016.
• NSF DMS–1159937 (PI C. Liu): FRG: Collaborative Research: Variational Multiscale Approaches to Biomolecular Structure, Dynamics and Transport, 2012–2015.
• NSF DMS–1216872 (PI C. Liu): Collaborative Research: Advanced Numerical Techniques for the Simulation of Magnetohydrodynamics, 2012–2015.

Community Service

• Society for Industrial and Applied Mathematics (SIAM): The Committee on Committees and Appointments, 2016–2018.
• Natural Sciences and Engineering Research Council of Canada (NSERC): Panel for Mathematics and Statistics, 2014–2017.
• Institute for Mathematics and Its Applications (IMS), University of Minnesota: Associate Director, 2008–2010.

Editorial Boards

• Communications in Mathematical Sciences
• SIAM Journal on Mathematical Analysis
• Kinetic and Related Models
• Analysis and Application
• Nonlinear Analysis and Differential Equations
• Molecular Based Mathematical Biology
• Journal of Mathematical Study
• Interfaces and Free Boundaries of European Mathematical Society

Expertise

• Nonlinear Partial Differential Equations
• Calculus of Variations
• Complex Fluids
• Multiscale Modeling and Analysis