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Prof. Dr. Emil NOVRUZ
Matematik

Emil NOVRUZ
Telefon
(262) 605 13 64
E-Posta
enovruz@gtu.edu.tr
Ofis
İşletme Binası, Z 44
Çalışma alanları
Lineer Olmayan Evrim Denklemlerinin Çözümlerinin Davranışı

Research Papers:

  1. A. Hagverdiyev, E. Novruzov, Blow-up Criterion for the Modified Compressible Navier-Stokes Equations with Density-Dependent Viscosity, Mathematical Methods in the Applied Sciences, 2024.
  2. E. Novruzov, V. Bayrak, Blow-up criteria for a two-component nonlinear dispersive wave system, Journal of Functional Analysis, V. 282(12), 2022.
  3. E. Novruzov, On equatorial wave-current interactions, Annali di Matematica Pura ed Applicata, V.201, pp. 157-173, 2022.
  4. E. Novruzov, On the propagation of equatorial waves interacting with a non-uniform current, Open Communications in Nonlinear Mathematical Physics, V.2, 2022.
  5. E. Novruzov, Blow-up criteria for modified two-component generalization of hyper-elastic rod equation, Applicable Analysis, V.101(15), 5305-5322, 2022.
  6. E. Novruzov, On propagation of linear waves for model of equatorial wave–current interactions, Journal of Differential Equations, V.279, pp. 63-75, 2021.
  7. E. Novruzov, Construction of peakon-antipeakon solutions and ill-posedness for the b-family of equations, Journal of Differential Equations, V.272, pp. 544-559, 2021.
  8. V. Bayrak, E. Novruzov and I. Ozkol, Local-in-space blow-up criteria for two-component nonlinear dispersive wave system, Discrete and Continuous Dynamical Systems-A, V.39(10), 2019.
  9. E. Novruzov, B. Yazar, On blow-up criteria for a class of nonlinear dispersive wave equations with dissipation, Monatshefte für Mathematik, V.188, pp. 163-181, 2019.
  10. E. Novruzov, Local-in-space blow-up criteria for a class of nonlinear dispersive wave equations, Journal of Differential Equations, V.263, pp. 5773-5786, 2017.
  11. E. Novruzov, Blow-up of solutions for the dissipative Dullin-Gottwald-Holm equation with arbitrary coefficient, Journal of Differential Equations, V.261, pp. 1115-1127, 2016.
  12. E. Novruzov, A. Hagverdiyev, On long-time dynamics of the solution of doubly nonlinear equation, Qualitative Theory of Dynamical Systems, V.15(1), pp. 127-155, 2016.
  13. E. Novruzov, Blow-up phenomena for polytropic equation with inhomogeneous density and source, Journal of Mathematical Physics, V.56, n.4, 2015.
  14. E. Novruzov, A. Hagverdiyev, On the behavior of the solution of the dissipative Camassa-Holm equation with the arbitrary dispersion coefficient, Journal of Differential Equations, V.257, pp. 4525-4541, 2014.
  15. E. Novruzov, Blow-up phenomena for the weakly dissipative Dullin–Gottwald–Holm equation, Journal of Mathematical Physics, V.54, n.9, 2013.
  16. E. Novruzov, On blow-up phenomena for the weakly dissipative Camassa-Holm equation, Journal of Engineering Mathematics, 77, pp.187-195, 2012.
  17. E. Novruzov, On long-time behavior of the positive solutions of nonhomogeneous non-Newtonian equation, Applicable Analysis, V.90 (7), pp.1159-1168, 2011.
  18. E. Novruzov, On existence and nonexistence of the positive solutions of non-Newtonian filtration equation, Communications on Pure and Applied Analysis V.10, n.2, pp.719-730, 2011.
  19. E. Novruzov, Quantitative homogenization of attractors of non-Newtonian filtration equations, Mathematical Problems in Engineering, ID 173408, 25 pp., 2010.
  20. E. Novruzov, On blow-up of solution of nonhomogeneous polytropic equation with source, Nonlinear Analysis, V.71 (9), pp.3992-3998, 2009.
  21. E. Novruzov, Long-time behavior of solutions of some doubly nonlinear equation, Applicable Analysis, V.86 (10), pp. 1265-1281, 2007.
  22. E. Novruzov, On the uniqueness of solution of initial boundary value problem for nonlinear degenerate equation with nonmonotone main part. Transactions Ac.Sci.Azerb. 23, No: 4, pp 155-158, 2003.
  23. E. Novruzov, On the smooth solvability of two-dimensional equation of nonstabil filtration, Transactions of IMM NAN Azerb., series of physical-technical and mathematical sciences, V.23(5) , pp 162-172, 2003.
  24. K.N.Soltanov, E. B. Novruzov, On some free boundary problems, Transactions of Academy of Sciences of Russia , series of mathematical sciences , V.66, No: 4, pp 155-176, 2002.
  25. E. B. Novruzov, On existence absorbing set for initial-boundary value problem for some nonlinear parabolic equation, Transactions of IMM Ac.Sci.Azerb., series of physical-technical and mathematical sciences, V.22(4), 2002.
  26. E. B. Novruzov, On properties of solution of one parabolic equation, Transactions of IMM Ac.Sci.Azerb., series of physical-technical and mathematical sciences , V.20(4), pp. 174-182, 2000.
  27. K.N.Soltanov, E.B. Novruzov, A free boundary problem for one nonlinear equations of parabolic type, Proceedings of IMM Ac.Sci.Azerb. devoted to anniversary of Ins.Math. and Mech., pp 162-172, 1999.
  28. E.B. Novruzov, About existence of smooth solution of one type parabolic equations with "Double" nonlinearity, VINITI, Moscow, 3450-B96, 1996.
  29. K.N.Soltanov, E.B. Novruzov, On the solvability of the equation of nonstabil filtration in noncylindric domain, Transactions of IMM Ac.Sci.Azerb. , series of physical-technical and mathematical sciences , No:1-3, pp 159-168, 1996.
  30. E. B. Novruzov, On the smooth solvability of the equation of nonstabil filtration, Proceedings of IMM Ac.Sci.Azerb., V.4, pp 179-183, 1996. (Russian Math. Reviews , 1999-4B 335).
  31. E. B. Novruzov, One theorem about compact embedding, Materials of scientific conference for post-graduates of National Academy of Sciences of Azerbaijan, Baku , pp. 9-10, 1996.
Conferences and Meetings
  • Novruzov E.,Local-in-space blow-up criteria for a class of nonlinear dispersive wave equation, International Conference on Applied Mathematics, Modeling and Life Sciences, 2018, Istanbul, Turkey.
  • Novruzov E., On the behavior of the solution of the dissipative Camassa-Holm equation with the arbitrary dispersion coefficient, 3rd International Eurasian Conference on Mathematical Sciences and Applications, 2014, Vienna, Austria.
  • Novruzov E., Blow-up phenomena for Dullin–Gottwald–Holm equation with dissipative term, Equadiff 2013, Prague, Czech Republic.
  • Novruzov E., On blow-up phenomena for the weakly dissipative Camassa-Holm equation, Equadiff 2011, Loughborough University, United Kingdom.
  • Novruzov E., On blow-up of the solution of a nonhomogeneous polytropic equation with source, Workshop on Mathematical Methods in Applied Sciences, 2008, Uludağ University, Bursa, Turkey.
  • Novruzov E., Qualitative properties of solutions of some doubly nonlinear equations, Ankara PDE days V, Turkish Mathematical Society- Ankara Branch, 2005, Ankara, Turkey.
  • Novruzov E., Free boundary problem for nonlinear equations with degeneration, 12th National Mathematical Symposium, 1999, Malatya, Turkey.
  • Novruzov E., On smoothness of solution of some parabolic equations, First Turkish world mathematics symposium,1999, Elazig, Turkey.

Completed PhD Theses

Vural Bayrak, Blow-up Phenomena for Some Nonlinear Wave Equations, Department of Mathematics, Istanbul Technical University, 2019 (co-advised with İbrahim Özkol)

Completed MSc Theses

Nedim Uçar, A Study on Blow Up of Solutions of Some Nonlinear Parabolic Problems, Department of Mathematics, Hacettepe University, 2010

Cenk Gemici, On Blow-up Phenomena for the Weakly Dissipative Camass-Holm Equation, Department of Mathematics, Hacettepe University, 2015

Betül Yazar, Behaviour of Solutions for Nonlinear Dispersive Wave Equation, Department of Mathematics, Gebze Technical University, 2018

  • Doktora: : Academy of Sciences of Azerbaijan, Institute of Mathematics and Mechanics, 1997
  • Yüksek lisans: : Baku State University, Faculty of Mechanics and Mathematics, 1994

  • Lisans: : Baku State University, Faculty of Mechanics and Mathematics, 1994
WORK EXPERIENCE

Scientific Researcher, IMM Ac.Sci.Azerb.,Baku,Azerbaijan, 1997-1999
Senior Scientific Researcher, IMM Ac.Sci.Azerb.,Baku,Azerbaijan, 1999-2005
Associate Professor, Department of Mathematics, Hacettepe University, Ankara, Turkey, 2005-2012
Professor, Department of Mathematics, Hacettepe University, Ankara, Turkey, 2012-2016
Professor, Department of Mathematics, Gebze Technical University, Turkey, 2016-

SHORT-TERM POSITIONS

Visiting Professor, Faculty of Mathematics, University of Vienna, Austria,
01.10.2020-31.01.2021

PROJECTS

1. TUBITAK-NASU Grant No. 110T558, 2012-2015, (Turkey-Ukrainian).
2. TUBITAK 2219-Research Grant No. 1059B191900298, 01.10.2020-31.01.2021.

TEACHING EXPERIENCE at GTU

MATH 102 Calculus II
MATH 201 Calculus III
MATH 210 Differential Equations
MATH 212 Mathematical Analysis IV
MATH 215 Differential Equations
MATH 217 Linear Algebra and Differential Equations
MATH 302 Complex Analysis II
MATH 303 Real Analysis I
MATH 304 Real Analysis II
MATH 350 Functional Analysis
MATH 405 Applied Partial Differential Equations
MATH 406 Functional Analysis
MATH 542 Real Analysis
MATH 682 Behavioral Properties of the Solutions of Nonlinear Parabolic Equations