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
Lecturer, Assistant Professor, Xian Jiaotong-Liverpool University - 2018 to Present
Postdoc fellow, Beijing International Center for Mathematical Research, Peking University - 2016 to 2018
Teaching
Teaching duties:
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 supervison:
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/
Awards and honours
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
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):
Education/Academic qualification
PhD in Mathematics, University of Liverpool - 2015
BEng (with First Class Honor), Xi'an Jiaotong-Liverpool University - 2011
Person Types
- Staff
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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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Multi-phase hydrodynamic modelling and computations with applications to micro/nano wires self-assembly manufacturing
Yang, X., Lin, C., Liu, Y. & li, Q.
1/01/23 → 31/12/25
Project: Internal Research Project
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Extensions and applications of rearrangement optimization theory
1/01/25 → 31/12/27
Project: Governmental Research Project
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Application of Rearrangement Techniques in Partial Differential Equations and Related Optimisation Problems
1/07/20 → 30/06/23
Project: Governmental Research Project
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Applications of rearrangement techniques in partial differential equations and optimization
1/07/18 → 30/06/21
Project: Internal Research Project
Research output
- 16 Article
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A general existence theorem for a multi-valued control problem
Emamizadeh, B., Liu, Y. & Zivari-Rezapour, M., 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
Open Access1 Citation (Scopus) -
Maximization Problems for Second Order Elliptic Equations
Emamizadeh, B., Liu, Y. & Porru, G., 2021, In: Contemporary Mathematics (Singapore). 2, 2, p. 131-139 9 p.Research output: Contribution to journal › Article › peer-review
Open Access -
Analyticity of free boundary in an optimal harvesting problem
Emamizadeh, B. & Liu, Y., 1 Jun 2020, In: Letters in Mathematical Physics. 110, 6, p. 1191-1199 9 p.Research output: Contribution to journal › Article › peer-review
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Bang-Bang and Multiple Valued Optimal Solutions of Control Problems Related to Quasi-linear Elliptic Equations
Yichen Liu (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
Yichen Liu (Speaker)
28 Oct 2022Activity: Talk or presentation › Presentation at conference/workshop/seminar
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Symmetry and converse symmetry in rearrangement optimization problems
Yichen Liu (Speaker)
18 Jun 2019Activity: Talk or presentation › Invited talk
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Academia Sinica - Institute of Mathematics
Yichen Liu (Visiting researcher)
15 Jun 2019 → 30 Jun 2019Activity: Research visit
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Extension of Talenti’s inequality and maximum values relative to rearrangement classes
Yichen Liu (Speaker)
18 Jul 2018Activity: Talk or presentation › Invited talk