Projects per year
Personal profile
Research Interests
Nonlinear Analysis / Partial differential equations / Free boundary problems / Free discontinuity problems
Research Grants (PI)
2017-2018: National Science Foundation of China - 400 000 RMB for the project “Free Discontinuity Problems and Applications in Fracture Mechanics”
2014-2015: XJTLU-Research Development Grant - 44 000 RMB for the project “Asymptotic behaviour of Mumford-Shah minimizers at the crack-tip”
PhD Students
Zhiwei Cheng (2022)
Personal profile
I joined UNNC in August 2015. Before that I worked for 3 years at Xi’an Jiaotong-Liverpool University in Suzhou (PR China) and for 7 years at Max Planck Institute for Mathematics in the Sciences in Leipzig (Germany).
Expertise Summary
I am an applied mathematician working on non-linear partial differential equations. Of my particular interest are problems with geometric “side effects”, like free boundaries and free discontinuities.
Teaching
Modelling with Differential Equations (MATH2035)
Complex Functions (MATH2036)
Professional Information
Awards
2020: Lord Dearing Teaching Award
Academic Events Organized
2018: International Conference “Free boundary / free discontinuity problems and applications” UNNC, Ningbo in June 24-26
2017: Research Summer School “Free Discontinuity Problems and Applications in Fracture Mechanics”, UNNC, Ningbo, August 14-18
2015: International workshop "Non-linear PDEs and Applications", Xi’an Jiaotong-Liverpool University, Suzhou, China, May 18-19
2008: UNESCO-CIMPA Summer-School “Nonlinear analysis and Geometric PDE”, Tsaghkadzor, Armenia, June 15-24
Academic Visits (one month or longer)
2014: Visiting Fellowship (Feb. 3 - Apr. 13) in the research program on “Free Boundary Problems and Related Topics”, held at the Isaac Newton Institute for Mathematical Sciences in Cambridge, UK
2011: Visiting Fellowship (Mar. 1 - Apr. 30) in the research program on “Free boundary problems and applications”, held at the MSRI, UC Berkeley, USA
Admin duties
2016 - present: Course Director of BSc program “Mathematics with Applied Mathematics”, UNNC
2018 - present: Deputy Head of the Research Group “Partial Differential Equations”, UNNC
2020 - present: Academic Representative of UNNC on the University of Nottingham Senate
2013 - 2015: Applied Mathematics Program Director, XJTLU
2009 - 2010: Member of the Committee for Defense and Security Research of the Scientific Council of the Max Planck Society, Munich, Germany
Person Types
- Staff
Fingerprint
Network
Projects
- 2 Finished
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NSFC Grant - Free discontinuity problems and applications in fracture mechanics
National Natural Science Foundation of China (NSFC)
1/01/17 → 31/12/18
Project: Government Funded Projects › Vertical-National Government Funded Projects
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Free Discontinuity Problems and Applications in Fracture Mechanics
1/01/17 → 31/12/18
Project: Government Funded Projects › Vertical-National Government Funded Projects
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Numerical analysis of a free boundary problem with non-local obstacles
Li, Z. & Mikayelyan, H., Jan 2023, In: Applied Mathematics Letters. 135, 108414.Research output: Journal Publication › Article › peer-review
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On some nonlocal problems in the calculus of variations
Chipot, M. & Mikayelyan, H., Apr 2022, In: Nonlinear Analysis, Theory, Methods and Applications. 217, 112754.Research output: Journal Publication › Article › peer-review
1 Citation (Scopus) -
Erratum: Cylindrical optimal rearrangement problem leading to a new type obstacle problem (ESAIM - Control, Optimisation and Calculus of Variations (2018) 24 (859-872) DOI: 10.1051/cocv/2017047)
Mikayelyan, H., 11 May 2021, In: ESAIM - Control, Optimisation and Calculus of Variations. 27, 41.Research output: Journal Publication › Article › peer-review
Open Access2 Citations (Scopus) -
Fractional optimal maximization problem and the unstable fractional obstacle problem
Bonder, J. F., Cheng, Z. & Mikayelyan, H., 1 Mar 2021, In: Journal of Mathematical Analysis and Applications. 495, 1, 124686.Research output: Journal Publication › Article › peer-review
1 Citation (Scopus) -
On the L∞-maximization of the solution of Poisson's equation: Brezis-Gallouet-Wainger type inequalities and applications
Harutyunyan, D. & Mikayelyan, H., Feb 2021, In: Proceedings of the Royal Society of Edinburgh Section A: Mathematics. 151, 1, p. 79-92 14 p.Research output: Journal Publication › Article › peer-review
1 Citation (Scopus)