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
Past Admin Duties
2016 - 2024: Course Director of BSc program “Mathematics with Applied Mathematics”, UNNC
2018 - 2024: Deputy Head of the Research Group “Partial Differential Equations”, UNNC
2020 - 2024: 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
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Collaborations and top research areas from the last five years
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Projects
- 2 Finished
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NSFC Grant - Free discontinuity problems and applications in fracture mechanics
Mikayelyan, H. (PI)
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
Mikayelyan, H. (PI)
1/01/17 → 31/12/18
Project: Government Funded Projects › Vertical-National Government Funded Projects
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Optimization of the shape for a non-local control problem
Cheng, Z. & Mikayelyan, H., Oct 2024, In: Fractional Calculus and Applied Analysis. 27, 5, p. 2482-2501 20 p.Research output: Journal Publication › Article › peer-review
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FRACTIONAL KORN’S INEQUALITIES WITHOUT BOUNDARY CONDITIONS
Harutyunyan, D., Mengesha, T., Mikayelyan, H. & Scott, J. M., 2023, In: Mathematics and Mechanics of Complex Systems. 11, 4, p. 497-524 28 p.Research output: Journal Publication › Article › peer-review
Open Access -
New monotonicity formulas for the curve shortening flow in R3
Mikayelyan, H., Dec 2023, In: Annali di Matematica Pura ed Applicata. 202, 6, p. 2985-3004 20 p.Research output: Journal Publication › Article › peer-review
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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 the fractional Korn inequality in bounded domains: Counterexamples to the case ps < 1
Harutyunyan, D. & Mikayelyan, H., 27 Feb 2023, In: Advances in Nonlinear Analysis. 12, 1, 20220283.Research output: Journal Publication › Article › peer-review
Open Access