Projects per year
Personal profile
Personal profile
I graduated from University of Liverpool with a PhD in Mathematical Sciences in 2015. After that, I have spent for almost two years at Beijing International Center for Mathematical Research in Peking University as a Postdoc fellow. I joined XJTLU in March 2018. My current research focuses on the intersection among the fields: nonlinear analysis, partial differential equations, calculus of variations and control and optimization theory.
Research interests
Nonlinear analysis, Partial differential equations, Calculus of variations, Control and optimization theory.
Experience
Assistant Professor, Associate Professor, Xian Jiaotong-Liverpool University - 2018 to Present
Postdoc fellow, Beijing International Center for Mathematical Research, Peking University - 2016 to 2018
Teaching
Teaching duties:
MTH020 Modelling the Real World, Semester 1, AY26/27 - present
MTH420 Measures and Integrals, Semester 1, AY24/25 - present
MTH210 Partial Differential Equations, Semester 2, AY21/22 - present
MTH301 Final Year Project, AY18/19 - present
MTH123 Differential Equations for Engineers, Semester 1, AY21/22 - AY23/24
MTH125 Real Analysis for Financial Mathematics, Semester 1, AY18/19 - AY20/21
MTH106 Introduction to the Methods of Applied Mathematics, Semester 2, AY17/18 - AY20/21
Undergraduate research supervision:
Author: Renjing Wang, Project advisor: Yichen Liu, Optimizing Energy Functional in Wave and Heat Equations with Initial Conditions in a Class of Rearrangements, SIURO (SIAM Undergraduate Research Online), Vol. 17, 307-318, 2024.
Link: https://www.siam.org/publications/siam-journals/siam-undergraduate-research-online-siuro/issues/siuro-volume-17/
PhD supervision:
Our research team plans to recruit motivated PhD students with strong interests in the study of mathematics, especially in the field of analysis including nonlinear analysis, partial differential equations, calculus of variations and optimal control, and optimization theory. One scholarship is available now, please see https://www.xjtlu.edu.cn/wp-content/uploads/2022/10/FOSA2506005_Yichen_Liu_SMP.pdf
Interested students may consult me through email Yichen.Liu01@xjtlu.edu.cn
Awards and honours
2025 SMP School Teaching Excellence Award, AY24/25
2022 Second Prize in the selection of "2020-2021 Suzhou Outstanding Academic Papers in Natural Science"
2019 Jiangsu Province High-level Innovation and Entrepreneurship Talent Plan
2012 PGR Scholarship, Xian Jiaotong-Liverpool University
2011 DuShu Lake Scholarship, Suzhou Industrial Park
2010 Progression Scholarship, Xian Jiaotong-Liverpool University
2009 Meritorious Prize of Mathematical Contest in Modeling (MCM), The Consortium for Mathematics and Its Applications
2009 Progression Scholarship, Xian Jiaotong-Liverpool University
Education/Academic qualification
PhD in Mathematics, University of Liverpool - 2015
BEng (with First Class Honor), Xi'an Jiaotong-Liverpool University - 2011
Research areas
- Nonlinear analysis
- Partial differential equations
- Control and optimization theory
Person Types
- Staff
Expertise related to UN Sustainable Development Goals
In 2015, UN member states agreed to 17 global Sustainable Development Goals (SDGs) to end poverty, protect the planet and ensure prosperity for all. This person’s work contributes towards the following SDG(s):
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SDG 14 Life Below Water
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Collaborations and top research areas from the last five years
Recent external collaboration on country/territory level. Dive into details by clicking on the dots or
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REFLEX: AI-Assisted Critical Evaluation of Literature for Academic Integrity and Research Literacy
Xu, P. (PI), Fu, L. (Team member), Zhou, Y. (Team member), Li, K. (Team member), Liu, Y. (Team member), Zhao, C. (Team member), Ni, Z. (Team member), Sun, Y. (Team member), Wu, Y. (Team member), Cui, W. (Team member) & Wang, J. (Team member)
4/05/26 → 16/10/26
Project: Internal Research Project
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Extensions and applications of rearrangement optimization theory
Liu, Y. (PI)
1/01/25 → 31/12/27
Project: Governmental Research Project
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TDF: Visualization of differential equations
Liu, Y. (PI), Rao, Z. (CoI) & Lloyd, S. (CoI)
1/03/24 → 28/02/27
Project: Other
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Multi-phase hydrodynamic modelling and computations with applications to micro/nano wires self-assembly manufacturing
Yang, X. (PI), Lin, C.-K. (Team member), Liu, Y. (Team member) & li, Q. (Team member)
1/01/23 → 31/12/25
Project: Internal Research Project
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Application of Rearrangement Techniques in Partial Differential Equations and Related Optimisation Problems
Liu, Y. (PI)
1/07/20 → 30/06/23
Project: Governmental Research Project
Research output
- 18 Article
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On the path-connectedness of the extremal sets with applications to control theory
Liu, Y. & Rao, Z., 8 Oct 2026, (E-pub ahead of print) In: MATHEMATICAL CONTROL AND RELATED FIELDS. 25 p.Research output: Contribution to journal › Article › peer-review
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Rearrangements of functions and optimization problems in Orlicz spaces
Liu, Y., Zivari-Rezapour, M. & Emamizadeh, B., 18 Aug 2026, In: Electronic Journal of Differential Equations. 2026, 23 p., 62.Research output: Contribution to journal › Article › peer-review
Open Access -
A general existence theorem for a multi-valued control problem
Emamizadeh, B., Liu, Y. & Zivari-Rezapour, M., Mar 2024, In: Comptes Rendus Mathematique. 362, p. 195-202 8 p.Research output: Contribution to journal › Article › peer-review
Open Access -
A formula for the sum of n weak* closed sets in L∞
Zivari-Rezapour, M., Liu, Y. & Emamizadeh, B., 2023, In: Comptes Rendus Mathematique. 361, G10, p. 1635-1639 5 p.Research output: Contribution to journal › Article › peer-review
Open Access1 Citation (Scopus) -
Overdetermined problems for p-Laplace and generalized Monge–Ampére equations
Emamizadeh, B., Liu, Y. & Porru, G., 3 Apr 2022, In: Complex Variables and Elliptic Equations. 67, 4, p. 807-821 15 p.Research output: Contribution to journal › Article › peer-review
3 Citations (Scopus)
Activities
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On the path-connectedness of the extremal sets with applications to control theory
Liu, Y. (Speaker)
3 Sept 2026 → 5 Sept 2026Activity: Talk or presentation › Presentation at conference/workshop/seminar
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Mini-Course on Hyperbolic Conservation Laws
Liu, Y. (Organiser)
17 Dec 2025 → 19 Dec 2025Activity: Participating in or organising an event › Organising an event e.g. a conference, workshop, …
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Overdetermined problems for p-Laplace and generalized Monge-Ampere equations
Liu, Y. (Speaker)
20 Dec 2024Activity: Talk or presentation › Presentation at conference/workshop/seminar
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Bang-Bang and Multiple Valued Optimal Solutions of Control Problems Related to Quasi-linear Elliptic Equations
Liu, Y. (Speaker)
26 Nov 2022Activity: Talk or presentation › Presentation at conference/workshop/seminar
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Classical Talenti's comparison principle and its recent development
Liu, Y. (Speaker)
28 Oct 2022Activity: Talk or presentation › Presentation at conference/workshop/seminar