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We consider the first initial boundary value problem for the 2D non-autonomous $g$-Navier-Stokes equations with infinite delays. We prove the existence of a pullback $\mathcal D$-attractor for the continuous process associated to the problem with respect to a large class of non-autonomous forcing terms.
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참고문헌 (19)
참고문헌 신청
C. T. Anh / 2012 / Long-time behavior for 2D non-autonomous g-Navier-Stokes equations / Ann. Poln. Math 103(3):277~302
C. T. Anh / 2012 / g-Navier-Stokes equations with infinite delays / Vietnam J. Math 40(1):57~78
H. Bae / 2004 / Existence of solutions of the g-Navier-Stokes equations / Taiwanese J. Math 8(1):85~102
T. Caraballo / 2001 / Navier-Stokes equations with delays / R. Soc. Lond. Proc. Ser. A Math. Phys. Eng. Sci 457(2014):2441~2454
T. Caraballo / 2003 / Asymptotic behaviour of two-dimensional Navier-Stokes equations with delays / R. Soc. Lond. Proc. Ser. A Math. Phys. Eng. Sci 459(2040):3181~3194
C. T. Anh / 2012 / g-Navier-Stokes equations with infinite delays / Vietnam J. Math 40(1):57~78
H. Bae / 2004 / Existence of solutions of the g-Navier-Stokes equations / Taiwanese J. Math 8(1):85~102
T. Caraballo / 2001 / Navier-Stokes equations with delays / R. Soc. Lond. Proc. Ser. A Math. Phys. Eng. Sci 457(2014):2441~2454
T. Caraballo / 2003 / Asymptotic behaviour of two-dimensional Navier-Stokes equations with delays / R. Soc. Lond. Proc. Ser. A Math. Phys. Eng. Sci 459(2040):3181~3194
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