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Yiwei Wang's Homepage

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Chicago, IL 60616

Biography

I am an Assistant Professor in the Department of Mathematics at the University of California, Riverside (Click here to my new homepage). I did my postdoctoral training at the Illinois Institute of Technology, working with Prof. Chun Liu. I obtained my Ph.D. at Peking University, advised by Prof. Pingwen Zhang, in 2018. Prior to that, I received a B.S. from Zhejiang University.

Broadly speaking, my research centers around mathematical modeling and scientific computing with applications in physics, material science, biology, and data science. My current research interests include (1) Multiscale modeling and simulation of complex fluids, especially liquid crystals; (2) Variational numerical methods for gradient flows and generalized diffusions; (3) Nonequilibrium thermodynamics and its application; (4) Machine learning, especially Bayesian methods.

Education

2009 - 2013, B.S., School of Mathematical Sciences, Zhejiang University, China.

2013 - 2018, Ph.D., School of Mathematical Sciences, Peking University, China.

Advisor: Prof. Pingwen Zhang.

Thesis: Numerical Study of Topological Defects in Liquid Crystals Under the Geometric Constraints

Position

Aug. 2018 – now: Postdoc, Department of Applied Mathematics, Illinois Institute of Technology.

Mentor: Prof. Chun Liu.

Grants

Co-PI, NSF DMS, #2153029, "Energetic Variational Inference: Foundations, Algorithms, and Applications". Total grant amount: $300,000 for 07/01/2022--06/30/2025 (PI: Prof. Lulu Kang, Co-PI: Prof. Chun Liu, Illinois Institute of Technology).

Selected Publications

[1] Yiwei Wang, Jiuhai Chen, Chun Liu and Lulu Kang*. Particle-based energetic variational inference. Stat Comput 31, 34 (2021).[pdf]

[2] Chun Liu and Yiwei Wang*. On Lagrangian schemes for porous medium type generalized diffusion equations: a discrete energetic variational approach. J. Comput. Phys., Vol. 417, 109566, 2020. [pdf]

[3] Chun Liu and Yiwei Wang*. A variational Lagrangian scheme for a phase field model: A discrete energetic variational approach. SIAM J. Sci. Comp. , 42(6), B1541–B1569, 2020. [pdf]

[4] Yiwei Wang*, Chun Liu, Pei Liu, and Bob Eisenberg. Field theory of reaction-diffusion: Mass action with an energetic variational approach. Phys. Rev. E 102, 062147, 2020. [pdf]

[5] Yiwei Wang*, Teng-Fei Zhang, Chun Liu. A two-species micro-macro model of wormlike micellar solutions and its maximum entropy closure approximations: An energetic variational approach. J Non-newton Fluid Mech, 2021.[arXiv][pdf]

[6] Chun Liu, Cheng Wang, and Yiwei Wang*. A Structure-preserving, operator splitting scheme for reaction-diffusion equations with detailed balance. J. Comput. Phys, Vol 436, 110253, 2021.[pdf]

[7] Yiwei Wang, Pingwen Zhang*, and Jeff Z. Y. Chen*. Topological defects in an unconfined nematic fluid induced by single and double spherical colloidal particles. Phys. Rev. E, 96(4):042702, 2017. [pdf]

[8] Yiwei Wang, Pingwen Zhang*, and Jeff Z. Y. Chen*. Formation of three-dimensional colloidal crystals in a nematic liquid crystal. Soft Matter, 2018. [pdf]

[9] Yiwei Wang, Giacomo Canevari, and Apala Majumdar*. Order reconstruction for nematics on squares with isotropic inclusions: A Landau–de Gennes study. SIAM J. Appl. Math., 79(4):1314–1340, 2019. [pdf]

[10] JungHyun Noh, Yiwei Wang, Hsin-Ling Liang, Venkata Subba Rao Jampani, Apala Majumdar*, and Jan P. F. Lagerwall*. Dynamic tuning of the director field in liquid crystal shells using block copolymers. Phys. Rev. Research, 2:033160, 2020.

[11] Jianyuan Yin, Yiwei Wang, Jeff Z. Y. Chen*, Pingwen Zhang*, and Lei Zhang*. Construction of a pathway map on a complicated energy landscape. Phys. Rev. Lett., 124(9):090601, 2020. [arxiv]

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