University of Nottingham Ningbo China
Faculty of
Science and Engineering
  • Intranet

Dr Hayk Mikayelyan

Associate Professor in Applied Mathematics , School of Mathematical Sciences


2015 Certificate in Professional Studies in Learning and Teaching in Higher Education with merit (University of Liverpool, UK)

2015 Fellow of the Higher Education Academy (UK)

2003 PhD in Mathematical Analysis (Potsdam University, Germany)

1999 Diploma in Mathematics (Yerevan State University, Armenia) 


  • Room 430, Sir Peter Mansfield Building,
    University of Nottingham Ningbo China
    199 Taikang East Road
    Ningbo, 315100   
  • +86-574-88180000 ext.:9825
  • +86-574-88180175
  • WebAddress 


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.


Advanced Mathematical Techniques in ODE for Engineers (HG3MOD CN)
Linear Mathematics (G11LMA CN)

Past teaching

Differential Equations and Calculus for Engineers (HG2M13 UNNC)
Analytical and Computational Foundations (G11ACF UNNC) 
Applied Mathematics (G11APP UNNC)
Calculus (G11CAL UNNC)
Engineering Mathematics II (HG1M12 UNNC)
Engineering Mathematics I (MTH101 XJTLU)
Methods of Applied Mathematics (MTH106 XJTLU)
Partial Differential Equations (MTH210 XJTLU)

Principal research interests

Nonlinear Analysis / Partial differential equations / Free boundary problems / Free discontinuity problems

Research Grants

2017-2018       “Free Discontinuity Problems and Applications in Fracture Mechanics“. NSFC 400K RMB

2014-2015       “The asymptotic behaviour of minimizers of Mumford-Shah functional at the crack-tip” XJTLU-RDF 44K RMB

Events organized

International Conference “Free boundary / free discontinuity problems and applications”, Ningbo China, June 24-26, 2018

Research Summer School “Free discontinuity problems and applications in fracture mechanics”, Ningbo China, August 14-18, 2017

International workshop "Non-linear PDEs and Applications", Suzhou, China, May 18-19, 2015

UNESCO-CIMPA Summer-School “Nonlinear analysis and Geometric PDE”, Tsaghkadzor, Armenia, June 15-24, 2008

Recent Publications

Lemenant, Antoine; Mikayelyan, Hayk
Stationarity of the crack-front for the Mumford-Shah problem in 3D. J. Math. Anal. Appl. 462 (2018), no. 2, 1555–1569

Mikayelyan, Hayk
Cylindrical optimal rearrangement problem leading to a new type obstacle problem. ESAIM: Control, Optimisation and Calculus of Variations. 24 (2018) 859-872

Emamizadeh, Behrouz; Farjudian, Amin; Mikayelyan, Hayk
An Elliptic Optimal Control Problem and its Two Relaxations. J. Optim. Theory Appl. 172 (2017), no. 2, 455–465

Li, Zhilin; Mikayelyan, Hayk
Fine numerical analysis of the crack-tip position for a Mumford-Shah minimizer. Interfaces and Free Bound. 18 (2016), no. 1, 1–18

Mikayelyan, Hayk
Stabilization technique applied to curve shortening flow in the plane. Zap. Nauchn. Sem. St.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) vol. 444 (2016), 89-97
reprinted in Journal of Mathematical Sciences, 2017, Volume 224, Issue 3, pp 442–447

Mikayelyan, Hayk; Shahgholian, Henrik
Hopf's lemma for a class of singular/degenerate PDE-s. Ann. Acad. Sci. Fenn. Math. 40 (2015), no. 1, 475–484

Andersson, John; Mikayelyan, Hayk
The zero level set for a certain weak solution, with applications to the Bellman equations. Trans. Amer. Math. Soc. 365 (2013), no. 5, 2297–2316

Mikayelyan, Hayk; Shahgholian, Henrik
Convexity of the free boundary for an exterior free boundary problem involving the perimeter. Commun. Pure Appl. Anal. 12 (2013), no. 3, 1431–1443

Andersson, John; Mikayelyan, Hayk
On the non-tangential touch between the free and the fixed boundaries for the two-phase obstacle-like problem. Math. Ann. 352 (2012), no. 2, 357–372

Andersson, John; Mikayelyan, Hayk
C1,α regularity for solutions to the p-harmonic thin obstacle problem. Int. Math. Res. Not. IMRN 2011, no. 1, 119–134

External Activities

Visiting Fellowship (Feb. 3 - Apr. 13, 2014). Research program on “Free Boundary Problems and Related Topics”, held at the Isaac Newton Institute for Mathematical Sciences in Cambridge, UK

Visiting Fellowship (Mar. 1 - Apr. 30, 2011). Research program on “Free boundary problems and applications”, held at the Mathematical Sciences Research Institute in Berkeley, USA

Recent Invited Talks

Research Lecture, South China Research Center for Applied Mathematics and Interdisciplinary Studies, South China Normal University, Guangzhou, April 26, 2019 

PDE Seminar, East China Normal University, Shanghai, April 12, 2019 

Mathematical Seminar, Institute of Mathematics, National Academy of Sciences, Yerevan, Armenia, February 14, 2019

Satellite Conference on Nonlinear Partial Differential Equations. International Congress of Mathematicians 2018. Fortaleza, Brazil, July 23-27, 2018

Analysis Seminar, University of Sao Paulo, Brazil, July 17, 2018

PDE Seminar, University of Buenos Aires, Argentina, July 10, 2018

18th International Conference CoMFoS18: Mathematical Analysis of Continuum Mechanics, Kyoto University, Japan, June 13-15, 2018 (keynote speaker)

Conference on Modeling, Analysis, Simulations and Applications of Inter-Facial Dynamics and FSI Problems. Tsinghua Sanya International Mathematics Forum, June 4-8, 2018

17th International Conference CoMFoS17: Mathematical Analysis of Continuum Mechanics, Okinawa Institute of Science and Technology, Japan, September 20-22, 2017 (keynote speaker)

Analysis & Algebra Seminar, University of Nottingham (UK), August 30th 2017

14th International Conference on Free Boundary Problems: Theory and Applications, Shanghai, July 9-14, 2017 (two invited talks)

The Australian National University MATHFEST 2016, Workshop on geometric and nonlinear PDE. Kioloa Coastal Campus 9–13 December 2016

Seminar of the State Key Laboratory of Scientific and Engineering Computing. Chinese Academy of Sciences, Beijing. April 2016

Material Science Seminar of University of Michigan –Shanghai Jiaotong University Joint Institute. Shanghai, April 2016

Differential Geometry Seminar. National Centre for Theoretical Sciences, Taibei Dec. 2015

PDE Seminar, Academia Sinica, Taibei, Dec. 2015

2nd School on Analysis and PDE. IPM Tehran, Iran. May 19-21, 2015

Workshop on Non-linear Partial Differential Equations, Shanghai Jiaotong University, December 11-13, 2014

Satellite Conference on Nonlinear Elliptic and Parabolic Equations and Applications, International Congress of Mathematicians 2014, Seoul, Aug 8-12, 2014

Analysis Seminar, East China Normal University, Shanghai, May 30, 2014

Analysis Seminar, University of Edinburgh (UK), April 7, 2014

Weekly Seminar, Isaac Newton Institute for Mathematical Sciences, Cambridge (UK), March 18, 2014


Course Director of BSc Mathematics with Applied Mathematics, UNNC

Member of Advisory Taskforce of FoSE, UNNC

Member of UNNC 2020 Strategy Steering Committee, UNNC (2015-17)

Senior Tutor of BSc Mathematics with Applied Mathematics, UNNC (2017)

Applied Mathematics Program Director at XJTLU (2013-15)

Member of the Committee for Defence and Security Research of the Scientific Council of the Max Planck Society, Munich (2009-10)