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Grigor Nika

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### Grigor Nika Mathematics &amp; Computer Science Karlstad University Universitetsgatan 2 651 88 Karlstad Sweden E-mail: <grigor.nika-PleaseRemoveThisText-@kau.se> ### Research Interests - Homogenization and Multiscale Analysis - Generalized Continuum Mechanics - Topology Optimization ### Publications ### Articles - [ *Cosserat continuum modelling of chiral scale-size effects and their influence on effective constitutive laws* ](https://doi.org/10.1016/j.finmec.2022.100140) Forc. Mechanics 9 (2022) pp. 100140 - [ *A coarse-grained electrothermal model for oragnic semiconductor devices*](https://doi.org/10.1002/mma.8072) (with A. Glitzky, M. Liero) Math. Methods Appl. Sci., (2022) - [ *Design of thin microarchitectured panels with extension-bending effects using topology optimization*](https://doi.org/10.1016/j.cma.2021.114496) (with F. Agnelli, A. Constantinescu) Comp. Methods Appl. Mech. Engn. 391 pp. 114496 (2022) - [ *Analysis of a hybrid model for the electrothermal behavior of semiconductor heterostructures* ](https://doi.org/10.1016/j.jmaa.2021.125815) (with A. Glitzky, M. Liero) J. Math. Anal. Appl. 507 (2) pp. 125815 (2022) - [ *Derivation of effective models from heterogeneous Cosserat media via periodic unfolding* ](https://doi.org/10.1007/s11587-021-00610-3) Ricerche Math. pp. 1-26, (2021) - [ *Analysis of a bulk-surface thermistor model for the electrothermal behavior of large-area organic LEDs* ](https://doi.org/10.4171/PM/2066) (with A. Glitzky, M. Liero) Port. Math. 78(2) pp.187-210, (2021) - [ *Dimension reduction of thermistor models for large-area organic light-emitting diodes* ](https://doi.org/10.3934/dcdss.2020460) (with A. Glitzky, M. Liero) Discrete Contin. Dyn. Syst. Ser. S 14(11), pp.3953-3971 (2021) - [ *A hybrid model for the electrothermal behavior of semiconductor heterostructures* ](https://doi.org/10.1002/pamm.202000028) (with A. Glitzky, M. Liero) Proc. Appl. Math. Mech. 20(1), (2021) - [ *An existence result for a class of electrothermal drift-diffusion models with Gauss-Fermi statistics for organic semiconductors* ](https://doi.org/10.1142/S0219530519500246) (with A. Glitzky, M. Liero) Anal. Appl. 19(2), pp.275-304 (2021) - [ *Multiscale modeling of magnetorheological suspensions* ](https://doi.org/10.1007/s00033-019-1238-4) (with B. Vernescu) Z. Angew. Math. Phys. 71(1), pp.1-19 (2020) - [ *Design and testing of 3D-printed micro-architectured polymer materials exhibiting a negative Poisson's ratio* ](https://doi.org/10.1007/s00161-019-00851-6) (with F. Agnelli, A. Constantinescu) Cont. Mechanics &amp; Thermod. 32(2), pp.433-449 (2020) - [ *Design of multi-layer materials using inverse homogenization and a level set method* ](https://doi.org/10.1016/j.cma.2018.11.029) (with A. Constantinescu) Comput. Methods Appl. Mech. Engrg. 346, pp.388-409 (2019) - [ *Rate of convergence for a multi-scale model of dilute emulsions with non-uniform surface tension* ](https://doi.org/10.3934/dcdss.2016062) (with B. Vernescu) Discrete Contin. Dyn. Syst. Ser. S 9(5), pp.1553--1564 (2016) - [ *Dilute emulsions with surface tension* ](http://dx.doi.org/10.1090/qam/1403) (with B. Vernescu) Quart. Appl. Math. 74(1), pp.89-111 (2016) - [ *Asymptotics for dilute emulsions with surface tension* ](https://doi.org/10.1007/BF03377377) (with B. Vernescu) J. Elliptic Parabol. Equ. 1(1), pp.215-230 (2015) - [ *Regional differences in treatment for osteoporosis. The Global Longitudinal Study of Osteoporosis in Women* ](https://doi.org/10.1016/j.bone.2011.05.007) (A. Diez-Perez, F.H. Hooven, J.D. Adachi, S. Adami, F.A. Anderson, S. Boonen, R. Chapurlat, J.E. Compston, C. Cooper, P. Delmas, S.L. Greenspan, A.Z. Lacroix, R. Lindsay, J.C. Netelenbos, J. Pfeilschifter, C. Roux, K.G. Saag, P. Sambrook, S. Silverman, E.S. Siris, N.B. Watts, S.H. Gehlbach) Bone 49(3) pp. 493-8 (2011) - [ *Impact of Prevalent Fractures on Quality of Life: Baseline results from the Global Longitudinal Study of Osteoporosis in Women* ](https://doi.org/10.4065/mcp.2010.0082) (J.D. Adachi, S.H. Gehlbach, F.A. Anderson, S. Boonen, R. Chapurlat, J.E. Compston, C. Cooper, P. Delmas, A. Diez-Perez, S.L. Greenspan, F.H. Hooven, A.Z. Lacroix, R. Lindsay, J.C. Netelenbos, O. Wu, J. Pfeilschifter, C. Roux, K.G. Saag, P. Sambrook, S. Silverman, E.S. Siris, N.B. Watts) Mayo Clin. Proc. 85(9) pp. 806-13 (2010) ### Book chapters - [ *Micro-geometry effects on the nonlinear effective yield strength response of magnetorheological fluids* ](https://doi.org/10.1007/978-3-030-62030-1_1) (with B. Vernescu) in: P. Donato, M. Luna-Laynez (eds.), Emerging Problems in the Homogenization of Partial Differential Equations, SEMA SIMAI Springer Series 10, pp. 1-16 (2021) - [ *Unipolar drift-diffusion simulations for S-shaped current voltage relations for organic semiconductor devices* ](https://doi.org/10.1007/978-3-030-43651-3_59) (with J. Furhman, D.-H. Doan, A. Glitzky, M. Liero) book chapter in: Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples, pp. 625--633 (2020) ### Preprints - <a> *A gradient system for a higher-gradient generalization of Fourier's law of heat conduction* (https://hal.archives-ouvertes.fr/hal-03724909), 7 pages (2022)</a> - <a> *On a hierarchy of effective models for the biomechanics of human compact bone tissue* (https://hal.archives-ouvertes.fr/hal-03629864), 28 pages (2022)</a> - <a> *Effective medium theory for second-gradient nonlinear elasticity (with A. Muntean)* (https://arxiv.org/abs/2202.00644), 27 pages (2022)</a> - <a> *An existence result for a class of nonlinear magnetorheological composites (with B. Vernescu)* (https://hal.archives-ouvertes.fr/hal-03668453), 20 pages (2022)</a> - <a class="doclink" rel="noopener" target="_blank"> *Analysis of microarchitectured polymer materials designed by topology optimization and fabricated using 3D printing (with F. Agnelli, A. Constantinescu)* (https://arxiv.org/abs/1809.02467), 28 pages (2018)</a> ### Recent Talks - [ JMM 2023](https://meetings.ams.org/math/jmm2023/meetingapp.cgi/Paper/17777), Boston, MA USA. PDE, Numerical Analysis, and Applications I January 2023 - [ Luleå University of Technology](https://www.ltu.se/org/tvm/Avdelningar/Matematiska-vetenskaper/The-Arctic-Quasiperiodic-Workshop-2022/Program?l=en), Luleå, SE. June 2022 - [ Department of Mathematics, Bridgewater State University](https://www.bridgew.edu/department/mathematics), Bridgewater, MA USA. April 2021 - [ Berliner Oberseminar, Nichtlineare partielle Differentialgleichungen](https://www.wias-berlin.de/research/rgs/fg1/langenb/seminar.jsp), Berlin, Germany. Langenbach-seminar December 2020 - [ Institut Jean Le Rond D'Alembert](http://www.dalembert.upmc.fr/seminaires/), Paris, France. Solid Mechanics Seminar February 2020 - [ JMM 2020](https://jointmathematicsmeetings.org/meetings/national/jmm2020/2245_program_wednesday.html), Denver, CO USA. PDE and Applications II January 2020 - [ Weierstrass Institute for Applied Analysis and Stochastics](https://www.wias-berlin.de/research/rgs/fg4/seminar.jsp?lang=1), Berlin, Germany. Nonlinear Optimization and Inverse Problems group October 2019 - [ DMV-Jahrestagung 2019](https://dmv2019.math.kit.edu/programm/differentialgleichungen-und-anwendungen/), Karlsruher, Germany September 2019 - [ ICIAM 2019](https://iciam2019.org/index.php/scientific-program/program), Valencia, Spain. Emerging problems in the homogenization of PDE June 2019 - [ Berliner Oberseminar, Nichtlineare partielle Differentialgleichungen](https://www.wias-berlin.de/research/rgs/fg1/langenb/seminar.jsp), Berlin, Germany. Langenbach-seminar April 2019 - [ Weierstrass Institute for Applied Analysis and Stochastics](https://www.wias-berlin.de/research/rgs/fg1/index.jsp?lang=1), Berlin, Germany. PDE group January 2019 - [Laboratoire de Mécanique et d'Acoustique](http://www.lma.cnrs-mrs.fr/spip/spip.php?article781), Marseille, France. November 2018 - [Rencontres Normandes sur les aspects théorique et numériques des EDP](https://r-n-edp2018.sciencesconf.org/), Rouen, France. November 2018 - [European Conference for Solid Mechanics](http://www.esmc2018.org/drupal8/sites/default/files/inline-files/ESMC2018_Technical_Program_web_0.pdf), Bologna, Italy July 2018 - [Universit&amp;eacute Jean Monett-St. Etienne](https://www.univ-st-etienne.fr/fr/mod-mad/agenda-actualites/actualites-2017-2018/grigor-nika-20-06-2018.html), St. Etienne, France. Modélisation Mathématiques et Aides a la Décision June 2018 - [Brown University](https://www.brown.edu/academics/engineering/about/events/2018-05/engineering-seminar-joint-materialssolid-mechanics), Providence, RI USA. Solid Mechanics Seminar May 2018 - [Worcester Polytechnic Institute](https://sites.google.com/site/wpimath/home), Worcester, MA USA. Mathematical Sciences May 2018 - [California Institute of Technology](http://www.daraio.caltech.edu/), Pasadena, CA USA. Engineering and Applied Physics January 2018 - [&amp;Eacutecole Polytechnique](https://portail.polytechnique.edu/cmap/fr/archives-du-seminaire-du-cmap), Palaiseau, France. Seminar on Homogenization Theory September 2017 - [SIAM Analysis of PDE](https://archive.siam.org/meetings/pd15/), Scottsdale, AZ USA December 2015 - [APS](https://apsdfd2015.mit.edu/), Boston, MA USA. Division of Fluid Dynamics November 2015 - [AMS sectional meeting on Calculus of Variations and Nonlinear PDE](http://www.ams.org/meetings/sectional/2219_program_ss22.html#title), Chicago, IL USA October 2015 - [8th European conference on elliptic and parabolic problems](https://www.math.uzh.ch/index.php?id=konferenzdetails0&key1=321&L=1), Gaeta, Italy May 2014 ### Teaching **Instructor**, Karlstad University, Karlstad, SE - Mathematics for Engineers III, Fall '22 **Instructor**, Ecole Polytechnique, Palaiseau, FR - Méthodes Nonlinéaires en Mécanique, Fall '17, Fall '18 **Teaching Assistant**, Worcester Polytechnic Institute, Worcester, MA USA - **MA 502** Linear Algebra (graduate course, grader), Fall '15 - **MA 1024** Calculus IV, Fall '14, Spring '15 - **MA 3832** Introduction to Real Analysis II, Fall '12 - **MA 3831** Introduction to Real Analysis I, Fall '12 - **MA 2051** Ordinary Differential Equations, Spring '12 - **MA 2621** Probability for Applications, Fall '11 - **MA 2611** Applied Statistics, Fall '11 **Grader**, University of Massachusetts, Lowell, MA USA - **92.131** Calculus I, Spring 2011 - **92.121** Management Precalculus, Fall 2010 - **92.132** Calculus II, Fall 2010 **Teaching Assistant**, University of Iowa, Iowa City, IA USA - **22S:009** Business Statistics, Fall '06, Spring '07, Fall '07, Spring '08 **Instructor**, Worcester State University, Worcester, MA - **MA 099** Developmental Mathematics, Fall '05, Spring '06