Pei Liu Curriculum Vitae

Postdoctoral Scholar Phone: (814)865-3611 Department of Mathematics Office: 321 McAllister Building The Pennsylvania State University Email: [email protected] University Park, PA 16802, USA Homepage: http://personal.psu.edu/pul21

Experience

• Postdoctoral Scholar August 2017 – Present Department of Mathematics, The Pennsylvania State University, University Park, PA 16802, USA Advisor: Prof. Chun Liu & Prof. Xiantao Li • Visiting Scholar November 2017 – Present Department of Applied Mathematics, Illinois Institute of Technology, Chicago, IL 60616, USA Host: Prof. Chun Liu

Education

Shanghai Jiao Tong University, Shanghai 200240, China

• Ph.D., School of Mathematical Sciences & Institute of Natural Sciences June 2017 Advisor: Prof. Zhenli Xu Major: Applied Mathematics Dissertation: Modeling, Analysis and Computation of the Ionic Correlation with Dielectric Interfaces Honor: Shanghai Outstanding Ph.D. Graduates

• B.S., Zhiyuan College June 2012 Major: Mathematics Minor: Physics Dissertation: Analysis of Stratification Phenomenon from Nonuniformly Size-modified Poisson–Boltzmann Model (Advisor: Prof. Zhenli Xu)

Research Interests

• Mathematical Modeling and Analysis of Complex Fluid Systems

• Energetic Variational Approach • Kinetic Theory • Integral Equation Theory • Mori–Zwanzig Formulation • Density Functional Theory

• Fast Algorithms for Partial Differential Equations and Integral Equations

• Finite Difference Method • Boundary Integral Method • Finite Volume Method • Energy Preserving/Stable Scheme • Spectral Method

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Publications

1. B. Li, P. Liu, S. Zhou and Z. Xu, Ionic size effects: Generalized Boltzmann distributions, counterion stratification, and modified Debye length, Nonlinearity, 26 (2013), pp. 2899–2922. (Selected in the journal’s Highlights of 2013.) 2. Z. Xu, M. Ma and P. Liu, Self-energy modified Poisson–Nernst–Planck equations: WKB approximation and finite-difference approaches, Physics Review E, 90 (2014), 013307. 3. P. Liu, M. Ma and Z. Xu, Understanding depletion induced like-charge attraction from self-consistent field model, Communications in Computational Physics, 22 (2017), pp. 95–111. 4. P. Liu, C. Liu and Z. Xu, Generalized Shockley–Ramo Theorem in electrolytes, Communication in Mathe- matical Sciences, 15 (2017), pp. 555–564. 5. Z. Wu∗, P. Liu∗, Y. Liu, W. Wei, X. Zhang, P. Wang, Z. Xu and H. Xiong, Regulating sequence distribution of polyethers via ab initio kinetics control in anionic copolymerization, Polymer Chemistry, 8 (2017), pp. 5673–5678. (∗ These authors contributed equally.) 6. P. Liu, X. Ji and Z. Xu, Modified Poisson–Nernst–Planck model with accurate Coulomb correlation in variable media, SIAM Journal on Applied Mathematics, 78 (2018), pp. 226–245. 7. L. Ji, P. Liu, Z. Xu and S. Zhou, Asymptotic analysis on dielectric boundary effects of modified Poisson– Nernst–Planck equations, SIAM Journal on Applied Mathematics, 78 (2018), pp. 1802–1822. 8. Q. Zhao, P. Liu and Z. Xu, A fast method for evaluating greens function in irregular domains with application to charge interaction in a nanopore, Communications in Computational Physics, 24 (2018), pp. 1241–1258. 9. P. Liu, S. Wu and C. Liu, Non-Isothermal Electrokinetics: Energetic Variational Approach, Communication in Mathematical Sciences, 5 (2018), pp. 1451–1463.

In Preparetion • Dipolar Poisson–Nernst–Planck Equations for Polarizable Molecules (with Chun Liu). • Fast Poisson Solver with High Accuracy through the Harmonic Surface Mapping Algorithm (with Jiuyang Liang and Zhenli Xu). • Energetic Variational Approach for the Non-Isothermal Dynamics of Polymer Melts (with Francesco De Anna, Chun Liu and Stefano Scrobogna).

Invited Presentations

• Workshop on Nonlinear Differential Equations, Dynamical Systems, and Applications. University of Kansas, Lawrence, KS. October 20th–21st, 2018. • 4th SIAM-CSS: Recent Advances in Modeling, Numerics, and Analysis of Electrodiffusion Phenomena. University of Oklahoma, Norman, OK. October 5th–7th, 2018. • AMS Fall Eastern Sectional Meeting: Recent Analytic and Numeric Results on Nonlinear Evolution Equations. University of Delaware, Newark, DE. September 29–30th, 2018. • Frontier of Mathematical Biology. University of Central Florida, Orlando, FL. May 2nd–4th, 2018. • IMA Workshop: Electrohydrodynamics and Electrodiffusion in Material Sciences and Biology. University of Minnesota, Minneapolis, MN. March 12nd–16th, 2018. • 42nd SIAM-SEAS: Recent Advances of Numerical Methods For Hydrodynamical System And Applications. Uni- versity of North Carolina, Chapel Hill, NC. March 9th–11st, 2018. • Oberwolfach Workshop: The Mathematics of Mechanobiology and Cell Signaling. Mathematisches Forschungsin- stitut Oberwolfach, Oberwolfach, Germany. Feb. 26th–March 3rd, 2018. • BIRS Workshop: Ion Transport: Electrodiffusion, Electrohydrodynamics and Homogenization. Banff Interna- tional Research Station, Banff, Canada. May 29th–June 3rd, 2016.

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Teaching Experience Instructor. The Pennsylvania State University, University Park, PA 16802, USA • Spring 2019: Math 230 — Calculus and Vector Analysis, Section 010 • Fall 2018: Math 230 — Calculus and Vector Analysis, Section 011 • Spring 2018: Math 250 — Ordinary Differential Equations, Section 005 • Fall 2017: Math 250 — Ordinary Differential Equations, Section 010

Teaching Assistant. Shanghai Jiao Tong University, Shanghai 200240, China • Spring 2015: MA347 — Asymptotic Analysis • Fall 2014: MA220 — Mathematical Analysis • Spring 2014: PH429 — Physical Biology • Fall 2013: MA122 — Mathematical Analysis • Spring 2013: MA097 — Methods of Mathematical Physics • Fall 2012: PH116 — General Physics

Visiting Experience

• Department of Mathematics, The Pennsylvania State University, University Park, PA 16802, USA . August – December 2015; October – November 2016 • Beijing Computational Science Research Center, Beijing 100193, China August 2016 • Mathematical Center for Interdiscipline Research, Soochow University, Soochow, Jiangsu 215000, China . June 2018 • Department of Mathematics, Southern University of Science and Technology, Shenzhen, Guangdong 518055, China July 2018 • American Institute of Mathematics, San Jose, CA 95112, USA July 2018

Advising Experience

• Class Advisor of the Class of 2017 Mathematics, Zhiyuan College, Shanghai Jiao Tong University . September 2013 – June 2016

Refereeing History

• Discrete and Continuous Dynamical Systems Series B • Advances in Applied Mathematics and Mechanics

Last updated: January 2019 3/3