Davit(David) Harutyunyan


Assistant Professor

University California Santa Barbara
Department of Mathematics

Office: South Hall 6504
email: harutyunyan(at)math(dot)ucsb(dot)edu
Phone:

Research Interests
  • My research is in Applied Analysis, including but not limited to:
  • Analysis of Partial Differential Equations
  • Calculus of Variations
  • Continuum Mechanics
  • Materisls Science, Composite Materials, Metamaterials

  • I did my Ph.D. (degree received in 2012) at Hausdorff Center for Mathematics under the supervision of Prof. Stefan Mueller. Before joining the UCSB, I held postdoctoral positions at Temple University (with Prof. Yury Grabovsky), University of Utah (with Prof. Graeme Milton) and EPFL (with Prof. Hoai-Minh Nguyen). Here is my CV


    Publications and preprints

    26. D. Harutyunyan. On the preferred localization of deformations at vanishing curvature points on thin shells: New Ansaetze and exponents in rigidity estimates. preprint.
    25. D. Harutyunyan. The sharp L^p Korn interpolation and second inequalities in thin domains. submitted, 2018. arxiv
    24. D. Harutyunyan. On the extreme points of the cone of quasiconvex quadratic forms with orthotropic symmetry, submitted, 2018. arxiv
    23. D. Harutyunyan. On the Korn interpolation and second inequalities in thin domains, SIAM J. Math. Anal., Vol. 50, Iss. 5, 4964-4982. online arxiv
    22. D. Harutyunyan and H. Mikayelyan. Weighted asymptotic Korn and interpolation Korn inequalities with singular weights. Procdeedings of the AMS, accepted, 2018. arxiv
    21. D. Harutyunyan and H. Mikayelyan. On the L-infinity maximization of the solution of Poisson's equation: Brezis-Galouet-Wainger type inequalities and applications, submitted, 2018. arxiv
    20. D. Harutyunyan. The asymptotically sharp Korn interpolation and second inequalities for shells. C. R. Acad. Sci. Paris, Ser. I, Vol. 356, Iss. 5, 2018, pp. 575-580. online arxiv
    19. D. Harutyunyan. When the Cauchy inequality becomes a formula. Amer. Math. Month. , accepted 2018, arxiv
    18. G.W.Milton, D. Harutyunyan and M. Briane. Towards a complete characterization of effective elasticity tensors of mixtures of an elastic phase and an almost rigid phase. Math. Mech. Compl. Sys., 5(1), 95-113, 2017. online arxiv
    17. G.W.Milton, M. Briane and D. Harutyunyan. On the possible effective elasticity tensors of 2-dimensinal and 3-dimensional printed materials. Math. Mech. of Compl. Sys., Vol. 5, No. 1, 41-94, 2017. online arxiv
    16. D. Harutyunyan. Quantitative anisotropic isoperimetric and Brunn-Minkowski inequalities for convex sets with improved defect estimates. ESAIM: COCV, . 24 (2018) 479-494. online arxiv
    15. D. Harutyunyan. Gaussian curvature as an identifier of shell rigidity. Arch. Ration. Mech. Anal., Nov. 2017, Vol. 226, Iss. 2, pp. 743-766 online arxiv
    14. Y.Grabovsky and D. Harutyunyan. Korn inequalities for shells with zero Gaussian curvature. Ann. d'Inst. Henri Poincare (C), Nonl. Anal.. 2018, Vol. 35, Iss. 1, pp. 267-282. online, arxiv
    13. D. Harutyunyan, G.W.Milton and R.V.Craster. High frequency homogenization for travelling waves in periodic media, Proc. Roy. Soc. A, 2016, online , arxiv
    12. D. Harutyunyan. Sharp weighted Korn and Korn-like inequalities and an application to washers. J. Elascitiy, Vol. 127, Iss. 1, pp. 59-77, 2017. online arxiv
    11. D. Harutyunyan and G.W.Milton. Towards characterization of all 3\times 3 extremal quasiconevex quadratic forms, Comm. Pure Appl. Math., Vol. 70, Issue 11, Nov. 2017, pp. 2164-2190. online, arxiv
    10. D. Harutyunyan, G.W.Milton, T.J. Dick and J.Boyer. On ideal dynamic climbing ropes, Proc. Inst. Mech. Eng., Part P: J. Sports Eng. Tech., , 2016. online DOI: 10.1177/1754337116653539
    9. D. Harutyunyan and G.W.Milton. On the relation between extremal elasticity tensors with orthotropic symmetry and extremal polynomials, Arch. Ration. Mech. Anal., Vol. 223, Iss. 1, pp 199-212, 2017. online, arxiv
    8. Y.Grabovsky and D. Harutyunyan. Scaling intability in buckling of axially compressed cylindrical shells. J. Nonl. Sci., Vol. 26, Iss. 1, pp. 83-119, Feb. 2016. online, arxiv
    7. D. Harutyunyan. On the existence and stability of minimizers in ferromagnetic nanowires. J. Math. Anal. Appl., 2015. Vol. 434, Iss. 2, pp. 1719-1739. 15 Feb. 2016. online, arxiv
    6. D. Harutyunyan and G.W.Milton. Explicit examples of extremal quasiconvex quadratic forms that are not polyconvex. Calc. Var. PDE , October 2015, Volume 54, Issue 2, pp. 1575-1589. online , arxiv
    5. Y.Grabovsky and D. Harutyunyan. Rigurous derivation of the formula for the buckling load in axially compressed circular cylindrical shells. J. Elasticity, 120(2), pp. 249-276, 2015. .online, arxiv
    4. D. Harutyunyan. New asymptotically sharp Korn and Korn-like inequalities in thin domains. J. Elasticity, 117(1), pp. 95-109, 2014. online , arxiv
    3. Y.Grabovsky and D. Harutyunyan. Exact scaling exponents in Korn and Korn-type inequalities for cylindrical shells. SIAM J. Math. Anal. . 46(5), pp. 3277-3295, 2014 .online, arxiv.
    2. D. Harutyunyan. Scaling laws and the rate of convergence in magnetic thin films. J. Math. Anal. Appl., 420(2), pp. 1744-1761, 2014.online, arxiv
    1. D. Harutyunyan. On the number of arrangements of n-ary brackets , Lomonosov 2002 proceedings, Moscow State University, 2002.
  • [Ph.D. Thesis] D. Harutyunyan. On the G-convergence of the energies and the convergence of almost minimizers in infinite magnetic cylinders, Dissertation: Universitaets und Landesbibliothek Bonn, 2012, online

    Teaching

  • Fall of 2018: Math 246A, Partial Differential Equations, syllabus

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