Mustafa Taylan Şengül

Department of Mathematics 34722 / Kadıköy -

Phone: (216)3451186/ 1120 email: [email protected] url: http://mimoza.marmara.edu.tr/~taylan.sengul

Current position

Associate Professor, Mathematics Department, Marmara University .

Areas of Specialization

Classical and geophysical fluid dynamics • hydrodynamic instabilities • pattern formations •bifur- cations and transitions.

Appointments Held

2016-2020 Associate Professor, Mathematics Department, Marmara University 2015-2016 Assistant Professor, Mathematics Department, Marmara University 2014-2015 Assistant Professor, Mathematics Department, 2012-2014 Visiting Assistant Professor, Mathematics Department, Purdue University 2007-2012 Associate Instructor, Mathematics Department, Indiana University 2001-2007 Associate Instructor, Mathematics Department, Yeditepe University

Short Term Visits

Summer 2016 Visiting Scholar, Mathematics Department, Indiana University Summer 2008-2009Visiting Instructor, Mathematics Department, Boğaziçi University

Education

2012 PhD.D. in Mathematics, Indiana University 2006 M.Sc. in Mathematics, Yeditepe University 2001 B.Sc. in Mathematics, Boğaziçi University

Publications

2020e Taylan Şengül (2020), “Dynamical transition theory of hexagonal pattern formations”, Communi- cations in Nonlinear Science and Numerical Simulation 91: 105455 2020d Deniz Bozkurt, Ali Deliceoğlu and Taylan Şengül (2020), “Interior structural bifurcation of 2D sym- metric incompressible flows”, Discrete & Continuous Dynamical Systems - B 25(7): 2775.

1 2020c ChunHsien Lu, Yiqiu Mao, Taylan Şengül and Quan Wang (2020), “On the spectral instability and bifurcation of the 2D-quasi-geostrophic potential vorticity equation with a generalized Kol- mogorov forcing”, Physica D: Nonlinear Phenomena 403: 132296. 2020b Oğul Esen, Daozhi Han, Taylan Şengül and Quan Wang (2020), “On the nonlinear stability and the existence of selective decay states of 3D quasi-geostrophic potential vorticity equation”, Mathe- matical Methods in the Applied Sciences 43(2): 822-846. 2020a Zhigang Pan, Taylan Şengül and Quan Wang (2020), “On the viscous instabilities and transitions of two-layer model with a layered topography”, Communications in Nonlinear Science and Numerical Simulation 80: 104978. 2019 Saadet Özer, Taylan Şengül and Quan Wang (2019), “Multiple equilibria and transitions in spherical MHD equations”, Communications in Mathematical Sciences 17(6): 1531 – 1555. 2018c Chanh Kieu, Taylan Şengül, Quan Wang and Dongming Yan (2018), “On the Hopf (double Hopf) bi- furcations and transitions of two-layer western boundary currents”, Communications in Nonlinear Science and Numerical Simulation 65: 196 - 215. 2018b Taylan Şengül and Shouhong Wang(2018), “Dynamic transitions and baroclinic instability for 3d continuously stratified Boussinesq flows”. Journal of Mathematical Fluid Mechanics 20(3):1173- 1193. 2018a Saadet Özer and Taylan Şengül (2018), “Transitions of spherical thermohaline circulation to mul- tiple equilibria”, Journal of Mathematical Fluid Mechanics 20(2): 499-515. 2016 Saadet Özer and Taylan Şengül (2016), “Stability and transitions of the second grade Poiseuille flow”, Physica D: Nonlinear Phenomena 331: 71-80. 2015b Honghu Liu, Taylan Şengül, Shouhong Wang and Pingwen Zhang (2015), “Dynamic transitions and pattern formations for a Cahn-Hilliard model with long-range repulsive interactions”, Com- munications in Mathematical Sciences 13(5): 1289-1315. 2015a Henk Dijkstra, Taylan Şengül, Jie Shen and Shouhong Wang (2015), “Dynamic transitions of quasi- geostrophic channel flow”, SIAM Journal on Applied Mathematics 75(5): 2361–2378. 2014b Taylan Şengül, Jie Shen and Shouhong Wang (2014), “Pattern formations of 2D Rayleigh–Bénard convection with no-slip boundary conditions for the velocity at the critical length scales”, Mathe- matical Methods in the Applied Sciences, 38(17). 2014a Taylan Şengül and Shouhong Wang (2014), “Pattern formation and dynamic transition for magne- tohydrodynamic convection”, Communications on Pure and Applied Analysis 13(6): 2609–2639. 2013b Henk Dijkstra, Taylan Şengül and Shouhong Wang (2013), “Dynamic transitions of surface tension driven convection”, Physica D: Nonlinear Phenomena 247(1): 7–17. 2013a Taylan Şengül and Shouhong Wang (2013), “Pattern formation in Rayleigh-Bénard convection”, Communications in Mathematical Sciences 11(1): 315–343. 2012 Honghu Liu, Taylan Şengül and Shouhong Wang (2012), “Dynamic transitions for quasilinear systems and Cahn-Hilliard equation with Onsager mobility”, Journal of Mathematical Physics 53: 023518. 2007 Taylan Şengül (2007), “An effective method for the existence of the global attractor of a nonlinear wave equation”, Applied Mathematics E-Notes 7: 179–185.

Talks at Conferences & Seminars

Feb 2020 Colloquium Talk, , İstanbul. Jun 2019 Recent Advances in Fluid dynamics and Nonlinear Dynamics, Chengdu, China. Nov 2018 Workshop on Nonlinear Systems, Gebze Technical University, Istanbul. Oct 2018 The International Conference on Applied Mathematics, Modeling and Life Sciences (ICAMLS), İs- tanbul. Mar 2018 Colloquium Talk, IZTECH, İzmir Aug 2017 2017 Workshop on Nonlinear PDEs in Applied Mathematics, IZTECH, İzmir

2 Jun 2017 Conference on Classical and Geophysical Fluid Dynamics: Modeling, Reduction and Simulation, Virginia University, Blacksburg. Jun 2017 The 8th International Workshop on Differential Equations and Applications, Dokuz Eylül Univer- sity, İzmir. Dec 2016 İstanbul Differential Equations Seminars, Istanbul. Nov 2016 İstanbul Analysis Seminars, Istanbul. Oct 2016 Marmara Fen Edebiyat Fakültesi 10. Bilim ve Kültür Günleri, Marmara University, Istanbul. Oct 2016 Colloquium Talk, Gebze Technical University, Istanbul. Oct 2016 2. Marmara Matematik Günleri, Marmara University, Istanbul. Jul 2016 The 11th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Or- lando. Jul 2015 The 7th International Workshop on Differential Equations and Applications, Yaşar University, İzmir Nov 2014 Colloquium Talk, Yeditepe University, Istanbul. Feb 2014 Colloquium Talk, Özyeğin University, Istanbul. Feb 2014 Colloquium Talk, Koç University, Istanbul. Dec 2012 PDE Seminar, Indiana University, Bloomington. Nov 2012 CCAM Seminar, Purdue University, West Lafayette. Jan 2012 AMS Invited special session talk, AMS Joint Mathematics Meeting, Boston. Oct 2011 Contributed talk, “Incompressible Fluids, Turbulence and Mixing, In honor of Peter Constantin’s 60th birthday”, Carnegie Melon University, Pittsburgh. Jan 2011 PDE Seminar, Indiana University, Bloomington. Apr 2011 European Geosciences Union General Assembly, Vienna (presented by Shouhong Wang). Nov 2010 AMS Meeting, Notre Dame/Indiana (presented by Honghu Liu). Jun 2010 Colloquium, Yeditepe University, Istanbul. Oct 2009 Invited special session talk, AMS Sectional Meeting, Baylor University, Waco. Aug 2009 Colloquium, Boğaziçi University, Istanbul.

Service to the Profession

Editorial Board Member

2018– International Journal of Advances in Engineering and Pure Sciences.

Referee Service Boundary Value Problems, Communications in Computational Physics, Discrete and Continuous Dynamical Systems–B, Geoscientific Model Development, Journal of Mathematical Fluid Mechan- ics, Journal of the Brazilian Society of Mechanical Sciences and Engineering, MathSciNet, Physica D, Pure and Applied Functional Analysis, Pure and Applied Functional Analysis, Turkish Journal of Mathematics

Conference Organizations

2017-2019 Marmara Matematik Günleri, organizing committee member, İstanbul. 2018 The International Conference on Applied Mathematics, Modeling and Life Sciences (ICAMLS) or- ganizing committee member, İstanbul. 2018 The AIMS Conference, special session organizer, Taipei.

3 Masters Thesis Directed Esmanur Yıldız (“A dynamical systems approach to the interplay between tobacco smokers, electronic- cigarette smokers and smoking quitters ”, co-directed with Saadet Özer, İstanbul Technical Univer- sity, Msc, 2020)

Teaching Experience

2015-2019 Marmara University - Calculus I, Calculus 2, Analysis 3, Analysis 4, Differential Equations, Linear Boundary Value Problems I (graduate level), Nonlinear Dynamics and Chaos (graduate level). 2014-2015 Yeditepe University - Calculus I, II, III, Numerical Analysis. 2012-2014 Purdue University - Linear Algebra, Ordinary Differential Equations. 2007-2012 Indiana University - Finite Mathematics, Trigonometric Functions. 2008 and 2009 Sum-Boğaziçi University - Finite Mathematics, Calculus for Social Sciences mer Awards, Honors, Projects and Fellowships

2015 - 2017 Tübitak 2232 Fellowship (Project title: Transitions of geophysical flows) 2011 Indiana University William B. Wilcox Mathematics Award 2008–2011 National Science Foundation Graduate Student Fellowships 2008 Indiana University Robert E. Weber Memorial Award Honorary Mention 2008 Indiana University James P. Williams Memorial Award Honorary Mention

Last updated: October 12, 2020 • Typeset in XƎTEX http://mimoza.marmara.edu.tr/ taylan.sengul/files/CV.pdf

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