Yıl: 2019 Cilt: 68 Sayı: 1 Sayfa Aralığı: 87 - 97 Metin Dili: İngilizce DOI: 10.31801/cfsuasmas.443638 İndeks Tarihi: 18-11-2020

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

Öz:
In this paper we consider 2D g-Navier-Stokes equations in a boundeddomain by : We give an error estimate between the solutions of Galerkin approximation of the g-Navier-Stokes equations and the exact solutions of them.
Anahtar Kelime:

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
  • [1] Ahn, C.T., Quyet, D.T. and Tinh, D.T., Existence and Önite time approximation of strong solutions to the 2D g-Navier-Stokes equations. Acta Math. Vietnam. 38 (2013) 413-428.
  • [2] Brezis, H. and Gallouet, T., Nonlinear Schrodinger evolution equations. Nonlinear Analysis, Theory, Methods & Applications, (1980) 677-681.
  • [3] Cao, Y. and Titi, E.S.,On the rate of convergence of the two-dimensional #models of turbulence to the Navier-Stokes Equations. Numer. Funct. Anal. Optim. 30. (2009) 11-12:1231- 1271.
  • [4] Constantin, P. and Foias C., Navier-Stokes equations. University of Chicago Press, Chicago, (1988).
  • [5] Foias, C. , Manley, O., Rosa, R. and Temam R., Navier-Stokes equations and turbulence. Encyclopedia of Mathematics and its Applications, 83. Cambridge University Press, Cambridge, (2001).
  • [6] Courant, R. and Hilbert, D., (1989). Methods of Mathematical Physics Vol. II. John Wiley & Sons, New York.
  • [7] Kwak, M., Kwean, H. and Roh, J., The dimension of attractor of the 2D g-Navier-Stokes equations. J. Math. Anal. Appl. 315. 2 (2006) 436-461.
  • [8] Roh, J., g-Navier Stokes equations. Thesis, University of Minnesota (2001).
  • [9] Roh, J., Convergence of the g-Navier Stokes equations. Taiwanese J. Math. 13. 1 (2009) 189-210.
  • [10] Roh, J., Dynamics of the g-Navier Stokes equations. J. Di§ erential Equations 211. 2 (2005) 452-484.
  • [11] Temam, R., Navier-Stokes equations. Theory and numerical analysis. North-Holland Publishing Co. Amsterdam (1977).
  • [12] Temam, R., Navier-Stokes equations and nonlinear functional analysis. Society for Industrial and Applied Mathematics (SIAM), Philadelphia (1983).
  • [13] Titi, E.S. On approximate inertial manifolds to the Navier-Stokes equations. J. Math. Anal. App. 149 (1990) 540-557.
APA Kaya M, Kazar Ö, Dinlemez Kantar Ü (2019). ON THE RATE OF CONVERGENCE OF THE g-NAVIER-STOKES EQUATIONS. , 87 - 97. 10.31801/cfsuasmas.443638
Chicago Kaya Meryem,Kazar Özge,Dinlemez Kantar Ülkü ON THE RATE OF CONVERGENCE OF THE g-NAVIER-STOKES EQUATIONS. (2019): 87 - 97. 10.31801/cfsuasmas.443638
MLA Kaya Meryem,Kazar Özge,Dinlemez Kantar Ülkü ON THE RATE OF CONVERGENCE OF THE g-NAVIER-STOKES EQUATIONS. , 2019, ss.87 - 97. 10.31801/cfsuasmas.443638
AMA Kaya M,Kazar Ö,Dinlemez Kantar Ü ON THE RATE OF CONVERGENCE OF THE g-NAVIER-STOKES EQUATIONS. . 2019; 87 - 97. 10.31801/cfsuasmas.443638
Vancouver Kaya M,Kazar Ö,Dinlemez Kantar Ü ON THE RATE OF CONVERGENCE OF THE g-NAVIER-STOKES EQUATIONS. . 2019; 87 - 97. 10.31801/cfsuasmas.443638
IEEE Kaya M,Kazar Ö,Dinlemez Kantar Ü "ON THE RATE OF CONVERGENCE OF THE g-NAVIER-STOKES EQUATIONS." , ss.87 - 97, 2019. 10.31801/cfsuasmas.443638
ISNAD Kaya, Meryem vd. "ON THE RATE OF CONVERGENCE OF THE g-NAVIER-STOKES EQUATIONS". (2019), 87-97. https://doi.org/10.31801/cfsuasmas.443638
APA Kaya M, Kazar Ö, Dinlemez Kantar Ü (2019). ON THE RATE OF CONVERGENCE OF THE g-NAVIER-STOKES EQUATIONS. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, 68(1), 87 - 97. 10.31801/cfsuasmas.443638
Chicago Kaya Meryem,Kazar Özge,Dinlemez Kantar Ülkü ON THE RATE OF CONVERGENCE OF THE g-NAVIER-STOKES EQUATIONS. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics 68, no.1 (2019): 87 - 97. 10.31801/cfsuasmas.443638
MLA Kaya Meryem,Kazar Özge,Dinlemez Kantar Ülkü ON THE RATE OF CONVERGENCE OF THE g-NAVIER-STOKES EQUATIONS. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, vol.68, no.1, 2019, ss.87 - 97. 10.31801/cfsuasmas.443638
AMA Kaya M,Kazar Ö,Dinlemez Kantar Ü ON THE RATE OF CONVERGENCE OF THE g-NAVIER-STOKES EQUATIONS. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics. 2019; 68(1): 87 - 97. 10.31801/cfsuasmas.443638
Vancouver Kaya M,Kazar Ö,Dinlemez Kantar Ü ON THE RATE OF CONVERGENCE OF THE g-NAVIER-STOKES EQUATIONS. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics. 2019; 68(1): 87 - 97. 10.31801/cfsuasmas.443638
IEEE Kaya M,Kazar Ö,Dinlemez Kantar Ü "ON THE RATE OF CONVERGENCE OF THE g-NAVIER-STOKES EQUATIONS." Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, 68, ss.87 - 97, 2019. 10.31801/cfsuasmas.443638
ISNAD Kaya, Meryem vd. "ON THE RATE OF CONVERGENCE OF THE g-NAVIER-STOKES EQUATIONS". Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics 68/1 (2019), 87-97. https://doi.org/10.31801/cfsuasmas.443638