ASYMPTOTIC BEHAVIOR OF STRONG SOLUTIONS TO 2D g-NAVIER-STOKES EQUATIONS
1
조회
0
다운로드
2
인용
0
참고문헌
키워드
초록
Considered here is the first initial boundary value problem for the two-dimensional g-Navier-Stokes equations in bounded domains. We first study the long-time behavior of strong solutions to the problem in term of the existence of a global attractor and global stability of a unique stationary solution. Then we study the long-time finite dimen- sional approximation of the strong solutions.
Abstract
Considered here is the first initial boundary value problem for the two-dimensional g-Navier-Stokes equations in bounded domains. We first study the long-time behavior of strong solutions to the problem in term of the existence of a global attractor and global stability of a unique stationary solution. Then we study the long-time finite dimen- sional approximation of the strong solutions.
참고문헌 (14)
- C. T. Anh, "Long-time behavior for 2D non-autonomous g-Navier-Stokes equations", Ann. Pol. Math, 103(3), pp.277~302 (2012)
- C. T. Anh, "Existence and finite time approximation of strong solutions to 2D g-Navier-Stokes equations", Acta Math. Vietnam, 38(3), pp.413~428 (2013)
- H. Bae, "Existence of solutions of the g-Navier-Stokes equations", Taiwanese J. Math, 8(1), pp.85~102 (2004)
- J. Jiang, "The global attractor of g-Navier-Stokes equations with linear dampness on R²", Appl. Math. Comp, 215(3), pp.1068~1076 (2009)
- J. Jiang, "Pullback attractor of 2D non-autonomous g-Navier-Stokes equations on some bounded domains", App. Math. Mech. (English Ed.), 31(6), pp.697~708 (2010)
- M. Kwak, "The dimension of attractor of", J. Math. Anal. Appl, 315(2), pp.436~461 (2006)
- 권혁진, "The Global Attractor of the 2D g-Navier-Stokes Equations on some unbounded domains", 대한수학회논문집, 20(4), pp.731~749 (2005), 대한수학회
- J. Roh, "Dynamics of the g-Navier-Stokes equations", J. Differential Equations, 211(2), pp.452~484 (2005)
- 노재옥, "Derivation of the $g$-Navier-Stokes equations", 충청수학회지, 19(3), pp.213~218 (2006), 충청수학회
- J. Roh, "Convergence of the g-Navier-Stokes equations", Taiwanese J. Math, 13(1), pp.189~210 (2009)
- R. Temam, "Navier-Stokes Equations: Theory and Numerical Analysis" (1979), North-Holland
- R. Temam, "Navier-Stokes Equations and Nonlinear Functional Analysis" (1995), Philadelphia
- R. Temam, "Infinite Dimensional Dynamical Systems in Mechanics and Physics" (1997), Springer-Verlag
- D. Wu, "The finite-dimensional uniform attractors for the nonautonomous g-Navier-Stokes equations", J. Appl. Math, 2009, pp.17~ (2009)
