Prof. MERYEM KAYA

Articles 17

1. On the weak solution for the regularized Bénard problem with damping

Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics , vol.74, no.2, pp.219-227, 2025 (ESCI, TRDizin)

2. HIGHER-ORDER REGULARITY AND CONTINUOUS DATA ASSIMILATION FOR THE VELOCITY-VORTICITY MODEL OF THE g-NAVIER-STOKES EQUATIONS

Kazar Ö., KAYA M.

Palestine Journal of Mathematics , vol.14, no.3, pp.1245-1261, 2025 (Scopus)

3. On the weak and strong solutions of the velocity-vorticity model of the $g$-Navier-Stokes equations

Kazar Ö., Kaya M.

TURKISH JOURNAL OF MATHEMATICS , vol.47, pp.1694-1714, 2023 (SCI-Expanded)

4. Global Existence and Uniqueness of The Inviscid Velocity-Vorticity Model of The g-Navier-Stokes Equations

Kazar Ö., Kaya M.

SAKARYA UNIVERSITY JOURNAL OF SCIENCE , vol.26, no.4, pp.695-702, 2022 (TRDizin)

5. ON THE RATE OF CONVERGENCE OF THE g-NAVIER-STOKES EQUATIONS

KAYA M., Kazar O., DİNLEMEZ KANTAR Ü.

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS , vol.68, no.1, pp.87-97, 2019 (ESCI, TRDizin)

6. On the weak solutions and determining modes of the g-Benard problem

Ozluk M., KAYA M.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS , vol.47, no.6, pp.1453-1466, 2018 (SCI-Expanded, Scopus, TRDizin)

7. Structural Stability For The Benard Problem With Voight Regularization

KAYA M.

GAZI UNIVERSITY JOURNAL OF SCIENCE , vol.31, no.3, pp.890-896, 2018 (ESCI, Scopus, TRDizin)

8. On the Strong Solutions and the Structural Stability of the g-Benard Problem

Ozluk M., KAYA M.

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION , vol.39, no.4, pp.383-397, 2018 (SCI-Expanded, Scopus)

9. On the Benard Problem with Voight Regularization

KAYA M., ÇELEBİ A. O.

GAZI UNIVERSITY JOURNAL OF SCIENCE , vol.28, no.3, pp.523-533, 2015 (ESCI, Scopus)

10. Global attractor for the regularized Benard problem

KAYA M., ÇELEBİ A. O.

APPLICABLE ANALYSIS , vol.93, no.9, pp.1989-2001, 2014 (SCI-Expanded, Scopus)

11. Existence of weak solutions of the g-Kelvin-Voight equation

KAYA M., ÇELEBİ A. O.

MATHEMATICAL AND COMPUTER MODELLING , vol.49, pp.497-504, 2009 (SCI-Expanded, Scopus)

12. Existence of weak solutions for a scale similarity model of the motion of large eddies in turbulent flow

Kaya M.

Journal of Applied Mathematics , no.9, pp.429-446, 2003 (Scopus)

13. On verifiability of models of the motion of large eddies in turbulent flows

Kaya M., Layton W. J.

Differential and İntegral Equations , vol.15, no.11, pp.1395-1407, 2002 (SCI-Expanded, Scopus)

14. Polynomial solutions for an elliptic partial differential equations

Kaya M.

Gazi.Üni.Fen Bil. Ens. Dergisi , vol.12, no.3, pp.531-536, 1999 (Peer-Reviewed Journal)

15. The Extension of Kelvin principle and Bateman Theorem For A Class of Hyperbolic Parabolic Type Equation

Kaya M.

Gazi.Üni Fen-Edebiyat Fak.Fen Bil. Dergisi , vol.7, pp.145-154, 1997 (Peer-Reviewed Journal)

16. Polynomial solutions for a class of singular partial differential equations

Altın A., Kaya M.

Commun Fac. Sci Univ. Ank. Ser. A1 , vol.46, pp.183-189, 1997 (Peer-Reviewed Journal)

17. Some Extensions of Brill s theorem

Altın A., Kaya M.

Hacet.Bull. Nat. Sci.Eng. Ser.B , vol.18, pp.57-66, 1997 (Peer-Reviewed Journal)

Papers Presented at Peer-Reviewed Scientific Conferences 13

1. Structural stability for the Benard problem with Voight regularization

KAYA M.

International Conference on Mathematics and Mathematics Education (ICMME-2018), Ordu, Turkey, 27 - 29 June 2018, (Summary Text)

2. Continuous Data Assimilation for the Two Dimensionalg-Bénard Problem

ÖZLÜK M., KAYA M.

2. workshop on nonlinear PDEs Applied Mathematics, İzmir, Turkey, 8 - 10 August 2017, (Summary Text)

3. Periyodik Sınır Koşulları Altında g-BénardProbleminin Yerel Olmayan Çekicilerinin Varlığı

ÖZLÜK M., KAYA M.

12. Ankara Matematik Günleri, Turkey, 25 - 26 May 2017, pp.46, (Summary Text)

4. Determining Modes of the g Bénard Problem

ÖZLÜK M., KAYA M.

workshop on nonlinear PDEs on Applied Mathematics, İzmir, Turkey, 26 - 28 August 2016, (Summary Text)

5. Structural stability for g Benard problem

ÖZLÜK M., KAYA M.

International Conference on Applied Mathematics and Analysis in Memory of Prof. Gusein Sh. Guseinov (Hüseyin Şirin Hüseyin) 1951-2015, Ankara, Turkey, 11 - 13 June 2016, pp.73, (Summary Text)

6. Kazar Özge, Kaya Meryem, On the rate of conergence of the g-Navier-Stokes Equations to the Navier-Stokes equations,

KAZAR Ö., KAYA M.

3 rd International Eurasian Conference on Mathematical Sciences and Applications, Vienna, Austria, 25 - 28 August 2014, (Summary Text)

7. Determining modes of g- Navier-Stokes equations (2013), (Özet bildiri).

KAZAR Ö., KAYA M.

2 nd International Eurasian Conference on Mathematical Sciences and Applications, Sarajevo, Bosnia And Herzegovina, 26 - 29 August 2013, (Summary Text)