Jingmin Xia

Jingmin Xia (夏静敏)
Associate Professor, Dr.

College of Meteorology and Oceanography
National University of Defense Technology

Address: 109 Deya Road, Kaifu District, Changsha, Hunan, China
Upcoming | News | Research Interest | Education | Publications | Teaching | Position

Email: jingmin.xia@nudt.edu.cn
[GitHub] [ResearchGate] [ORCID] [Curriculum Vitae]

Upcoming

[2024.07] I co-organize a minisymposium with Lei Zhang (PKU) for 2024SciCADE in Singapore.

News

[2024.02.29] Our paper "A simple tensorial theory of smectic C liquid crystals" has been submitted. See here.
[2023.12] I am now officially promoted to associate professor.
[2023.10.12-16] I give a talk on the 21st Annual Meeting of CSIAM in Kunming, China.
[2023.09.01] I am making an academic visit at Peking University until next March.
[2023.08.20] I give a talk on CPS Fall Meeting.
[2023.07.19] I am awarded Excellent Youths of Hunan Province 2023.
[2023.05.23] I am happy to announce that the book "Computing and Analysing Energy Minimisation Problems in Liquid Crystals -- Implementation using Firedrake" is going to be released in June by World Scientific. Please see the promotion flyer for a brief introduction.
[2023.04.15] I am awarded the first prize of the Best Paper of Young Researchers from the Computational Mathematics and Applied Software Association of Hunan Province. An invited prize talk is given.
[2023.03.28] I am going to visit the group of Wei Hu in Nanjing University on 1st April. An invited talk will be given then.
[2023.03.21] I am invited by Apala Majumdar and Lei Zhang to give a talk on the workshop of the University of Strathclyde.
[2023.03.18] I am excited to announce that I have successfully applied the Natural Science Fund of Hunan Province for Excellent Young Scholars!
[2023.03.04] I am going to visit the group of Lei Zhang in Beijing International Center for Mathematical Research (BICMR) for about a week (03.07-14)! An invited talk will be given on 03.08.
[2023.03.02] Our new paper "Smectic structures in button-like confinements: experiment and theory" is now available online! (online). Update (2023.08): it is now officially published on Physical Review Research.
[2022.09.30] Our paper "Variational and numerical analysis of a Q-tensor model for smectic-A liquid crystals" is now accepted by ESAIM: Mathematical Modelling and Numerical Analysis. It is published on 2023.03. (LINK).
[2022.09.08] I receive the National Natural Science Foundation of China, grant number 12201636!
[2022.08.19] I have accepted the invitation from the BIRS Workshop on the topic "Defects and Distortions of Layered Complex Fluids", hosted in Banff International Research Station (BIRS), Canada, on 2-7 October!
[2022.06.22] I attend and host the Conference, ICIPOST, hosted in Changsha and organized by the Department of Marine Science, NUDT. This takes place in Changsha on 23-25 September!
[2022.04.28] Our paper "One-dimensional ferronematics in a channel: order reconstruction, bifurcations and multistability" is now available on the SIAM Journal on Applied Mathematics (SIAP).
[2022.04.13] I had attended the BAMC Conference on 11th-13th April 2022 and gave a talk in the mini-symposium: "Smectic Fluids: Reduced Dimensionality/Increased Complexity".
[2021.11.09] I am happy to announce that our paper "One-dimensional ferronematics in a channel: order reconstruction, bifurcations and multistability" is now accepted by SIAM Journal on Applied Mathematics (arxiv).
[2021.10] I am now officially a lecturer in the College of Meteorology and Oceanography in NUDT!
[2021.07] I obtain my doctoral degree from Mathematical Institute, University of Oxford!
[2021.06.01] I pass my viva in the University of Oxford under the examination of Endre Süli and Maria-Carme Calderer! My thesis can be found here. All of this could not happen without my supervisor Patrick.
[2021.05.17-28] I host a mini-symposium MS66 Models, discretizations, and solvers for liquid crystals with Anca Andre (from Tufts University) in the SIAM Conference on Mathematical Aspects of Materials Science. It is fantastic to meet all those liquid crystal researchers!
[2021.05.26] I give a talk in the SIAM Conference MS21 (online).
[2021.05.20] I am invited to talk about the recent paper in the internal group meeting of the Majumdar group (online).
[2021.04.27] Our new paper "Structural landscapes in geometrically frustrated smectics" is published at Physical Review Letters (link)! This work is collaborated with Tim Atherton and Scott MacLachlan. Moreover, it is selected as the Editors' Suggestion!
[2021.03.23] Our new paper "Augmented Lagrangian preconditioners for Oseen--Frank models in nematic and cholesteric liquid crystals" is published at BIT Numerical Mathematics (link)! This work is collaborated with Florian Wechsung.
[2021.02.12] Our new paper "One-dimensional ferronematics in a channel: order reconstruction, bifurcations and multistability" is submitted (arxiv)! This work is collaborated with Apala Majumdar and James Dalby.
[2020.10.20] I give a talk (online) in the internal seminar session of our Numerical Analysis Group.
[2020.09.18] I am invited to give a talk in the London Mathematical Society Durham-Oxford-Strathclyde network on "Anisotropic Materials" (online).
[2020.01] Our new paper "Nonlinear bifurcation analysis of stiffener profiles via deflation techniques" is published at Thin-Walled Structures (link)! This work is collaborated with Saullo.
[2019.12.10] I present a poster in the Workshop on Numerical Methods and New Perspectives for Extended Liquid Crystalline Systems, ICERM, Brown University. It is super to meet many new friends and collaborators!
[2019.10.15] I give a talk in the PDE CDT Student Seminar (Michaelmas Term 2019), University of Oxford.
[2018.10] I visit our collaborator Saullo G. P. Castro in Delft University of Technology with my supervisor Patrick.
[2018.09.03] I give a talk about my second mini-project (supervised by Patrick Farrell) in the PDE CDT Summer School, Ripon College Coddesdon, Oxford. The project is about Implementation and Bifurcation Analysis of Saint Venant--Kirchhoff Hyperelastic Models for Aircraft Stiffeners.
[2018.04.17] I give a talk about my first mini-project (supervised by Sina Ober-Blöbaum) in the PDE CDT Spring Retreat, University of Oxford. The project is about Construction, Implementation and Analysis of Variational Integration Schemes for the Wave Equation.
[2017.09] I start my phd study in the University of Oxford!

Research Interest

During my phd, I worked on scientific computing of elliptic partial differential equations and numerical analysis, particularly focusing on math problems arising from liquid crystals. My phd thesis entitled Computational and Analytical Aspects of Energy Minimisation Problems in Cholesteric, Ferronematic and Smectic Liquid Crystals can be found here.

Currently, I am applying mathematical modelling and scientific computing techniques in the area of oceanic problems. More specifically, I focus on numerical ocean prediction at the current stage and thus have started to use some numerical tools, e.g., FVCOM for finite volume community ocean model and SWAN for simulating waves nearshore.

I mainly code with Python and occasionally Fortran, Matlab and Mathematica. I use firedrake as the finite element library and defcon for the bifurcation analysis.

There are some selected research topics below:

Partial differential equations
Mathematical modelling and scientific computing
Numerical Analysis
Bifurcation analysis
Liquid crystals
Numerical ocean prediction

Education

2017.10-2021.07 Ph.D in Mathematical Institute, University of Oxford. Supervisor: Prof. Patrick Farrell
2015.09-2016.06 Visiting student in Mathematics Institute, University of Warwick. Supervisor: Prof. Colin Sparrow
2012.09-2016.06 B.Sc. in College of Science, National University of Defense Technology. Supervisor: Prof. Songhe Song (宋松和).

Publications

[13] J. Xia, Y. Han, “A simple tensorial theory of smectic C liquid crystals”, submitted, Feb, 2024. [arxiv]

[12] J. Xia, “Computing and Analysing Energy Minimisation Problems in Liquid Crystals -- Implementation using Firedrake”, World Scientific, June, 2023. [Book DOI]

[11] J. Lv, J. Shi, W. Zhang, J. Xia, Q. Wang, “Numerical simulations on waves in the Northwest Pacific Ocean based on SWAN models”, Journal of Physics Conference Series, 2486(1): 012034, pp. 1-11, 2023. [PDF]

[10] Q. Wang, J. Shi, J. Xia, et al., “Influence of wave-induced radiation stress on upper-layer ocean temperature during typhoons”, Remote Sensing, 15(9): 2442, pp. 1-21, 2023. [PDF]

[9] René Wittmann, Paul A. Monderkamp, J. Xia, Louis B. G. Cortes, Iago Grobas, Patrick E. Farrell, Dirk G. A. L. Aarts, Hartmut Löwen, “Colloidal smectics in button-like confinements: experiment and theory”, Physical Review Research, 5(3), pp. 1-15, 2023. [PRR]

[8] J. Xia, and P. E. Farrell, “Variational and numerical analysis of a Q-tensor model for smectic-A liquid crystals”, ESAIM: Mathematical Modelling and Numerical Analysis, 57(2), pp. 1-24, 2023. [Link] [PDF]

[7] J. Dalby, P. E. Farrell, A. Majumdar, and J. Xia, “One-dimensional ferronematics in a channel: order reconstruction, bifurcations and multistability”, SIAM Journal on Applied Mathematics, 82(2), pp. 694-719, 2022. [Link] [PDF]

[6] J. Xia, S. MacLachlan, T. J. Atherton, and P. E. Farrell, "Structural landscapes in geometrically frustrated smectics”, Physical Review Letters, 126, 177801, pp. 1-6, 2021. [Link] [PDF]

[5] J. Xia, P. E. Farrell, and F. Wechsung, “Augmented Lagrangian preconditioners for Oseen--Frank models in nematic and cholesteric liquid crystals”, BIT Numerical Mathematics, pp. 1-38, 2021. [Link] [PDF]

[4] J. Xia, P. E. Farrell, and S. G. P. Castro, “Nonlinear bifurcation analysis of stiffener profiles via deflation techniques, Thin-Walled Structures”, Thin-Walled Structures, 149, pp. 1-11, 2020. [Link] [PDF]

[3] M. Song, X. Qian, H. Zhang, J. Xia, and S. Song, “Two kinds of new energy-preserving schemes for the coupled nonlinear Schrödinger equations”, Communications in Computational Physics, 25(4), pp. 1127-1143, 2019. [Link] [PDF]

[2] J. Xia, Z. Xu, and D. Hu, “Flocking in a two-agent system with processing delay | 受时滞影响的双个体自组织系统的集群性”, Mathematics in Practice and Theory | 数学的实践与认知, 2016. [Link]

[1] J. Xia, J. Sun, T. Fang, X. Zhang and J. Fang, “Linear optical properties of gold colloid”, Materials Science, 21(4), 2015. [Link] [PDF]

Teaching

Spring Term, 2024 Lecturing Numerical Ocean Prediction.
Autumn Term, 2023 Lecturing Fundamentals of Oceanography.
Autumn Term, 2022 Tutoring Numerical Ocean Prediction.
Hilary Term, 2020 Tutoring Numerical Solution of Differential Equations II.
Hilary Term, 2020 Tutoring the collection (Numerical Solution of Differential Equations) in Lincoln College.
Michaelmas Term, 2019 Tutoring Numerical Solution of Differential Equations I.
Michaelmas Term, 2019 Marking the Math Admission Test 2019.

Position

I have sufficient fund for supporting undergraduate/graduate students/postdocs. If you are interested, please send me your CV via email.

Updating time: 2024.02.29