지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
초록· 키워드
오류제보하기
In this paper we study the first initial boundary value problem for the 3D Navier-Stokes-Voigt equations with infinite delay. First, we prove the existence and uniqueness of weak solutions to the problem by combining the Galerkin method and the energy method. Then we prove the existence of a compact global attractor for the continuous semigroup associated to the problem. Finally, we study the existence and exponential stability of stationary solutions.
목차
등록된 정보가 없습니다.
참고문헌 (29)
참고문헌 신청
C. T. Anh / 2012 / g-Navier-Stokes equations with infinite delays / Vietnam J. Math. 40(1):57~78
C. T. Anh / 2013 / Pull-back attractors for three dimensional Navier-Stokes-Voigt equations in some unbounded domain / Proc. Royal Soc. Edinburgh Sect. A 143:223~251
C. T. Anh / 2016 / Decay rate of solutions to 3D Navier-Stokes-Voigt equations in $H^{m}$ spaces / Appl. Math. Lett. 61:17
Y. Cao / 2006 / Global well-posedness of the three-dimensional viscous and inviscid simplified Bardina turbulence models / Commun. Math. Sci. 4(4):823~848
T. Caraballo / 2015 / A survey on Navier-Stokes models with delays: existence, uniqueness and asymptotic behavior of solutions / Discrete Contin. Dyn. Syst. Ser. S 8(6):1079~1101
C. T. Anh / 2013 / Pull-back attractors for three dimensional Navier-Stokes-Voigt equations in some unbounded domain / Proc. Royal Soc. Edinburgh Sect. A 143:223~251
C. T. Anh / 2016 / Decay rate of solutions to 3D Navier-Stokes-Voigt equations in
Y. Cao / 2006 / Global well-posedness of the three-dimensional viscous and inviscid simplified Bardina turbulence models / Commun. Math. Sci. 4(4):823~848
T. Caraballo / 2015 / A survey on Navier-Stokes models with delays: existence, uniqueness and asymptotic behavior of solutions / Discrete Contin. Dyn. Syst. Ser. S 8(6):1079~1101
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
Pullback attractors for 2D $g$-Navier-Stokes equations with infinite delays
대한수학회논문집
2016 .01
-
Global attractor for a semilinear pseudoparabolic equation with infinite delay
대한수학회논문집
2017 .07
-
Asymptotic behavior of solutions to stochastic 3D globally modified Navier-Stokes equations with unbounded delays
대한수학회지
2024 .03
-
Decay results of weak solutions to the non-stationary fractional Navier-Stokes equations
대한수학회보
2024 .05
-
Global attractors for nonlocal parabolic equations with a new class of nonlinearities
대한수학회지
2018 .01
-
Stabilization of 2D $g$-Navier-Stokes equations
대한수학회논문집
2019 .01
-
Long-time behavior of solutions to a nonlocal quasilinear parabolic equation
대한수학회논문집
2019 .01
-
Local regularity criteria of the Navier-Stokes equations with slip boundary conditions
대한수학회지
2016 .01
-
Local existence for an isentropic compressible Navier-Stokes-P₁ approximate model arising in radiation hydrodynamics
대한수학회보
2020 .01
-
On the improved regularity criterion of the solutions to the Navier-Stokes equations
대한수학회논문집
2020 .01
-
Asymptotic behavior of solutions to 3D convective Brinkman-Forchheimer equations with finite delays
대한수학회논문집
2021 .01
-
Dynamics of solutions for the three-dimensional stochastic globally modified Navier-Stokes equations on unbounded domains
대한수학회보
2024 .09
-
A boundary control problem for vorticity minimization in time-dependent 2D Navier-Stokes equations
한국수학논문집
2015 .01
-
Attractor dimensions of three-dimensional Navier-Stokes- model for fast rotating fluids on generic-period domains: comparison with Navier-Stokes equations
Advanced Studies in Contemporary Mathematics
2019 .01
-
NON-NEWTONIAN NAVIER-STOKES EQUATIONS OF POWER LAW TYPE IN TWO DIMENSIONS
JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS
2024 .12
-
Large time behavior for the degenerate compressible Navier-Stokes equations with damping
대한수학회보
2019 .01
-
Vector measures applied to optimal control for a class of evolution equations on Banach spaces
대한수학회논문집
2020 .01
-
REGULARITY OF 3D NAVIER-STOKES EQUATIONS WITH SPECTRAL DECOMPOSITION
호남수학학술지
2016 .01
-
Global axisymmetric solutions to the 3D Navier--Stokes--Poisson--Nernst--Planck system in the exterior of a cylinder
대한수학회보
2021 .01
-
Navier-Stokes equations with anisotropic regularity in one velocity component
Proceedings of the Jangjeon Mathematical Society
2016 .01
이 논문의 저자 정보
최근 본 자료
댓글(0)
0