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The Global Attractor of the 2D g-Navier-Stokes Equations on some unbounded domains

권혁진|노재옥
대한수학회 (The Korean Mathematical Society)|2005.10|대한수학회논문집 (Communications of the KMS)|제20권 제4호|pp. 731-749

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Abstract

In this paper, we study the two dimensional g-Navier-Stokes equations on some unbounded domain Ω ⊂ R2 . We prove the existence of the global attractor for the two dimensional g-Navier- Stokes equations under suitable conditions. Also, we estimate the dimension of the global attractor. For this purpose, we exploit the concept of asymptotic compactness used by Rosa for the usual Navier-Stokes equations.

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관련 논문AI추천

ASYMPTOTIC BEHAVIOR OF STRONG SOLUTIONS TO 2D g-NAVIER-STOKES EQUATIONSDao Trong Quyet대한수학회 · 대한수학회논문집2014 · 제29권 제4호Pullback attractors for 2D $g$-Navier-Stokes equations with infinite delaysDao Trong Quyet대한수학회 · 대한수학회논문집2016 · 제31권 제3호Temporal and spatial decay rates of Navier-Stokes solutions in exterior domains배형옥, 진범자대한수학회 · 대한수학회보2007 · 제44권 제3호On the finite-dimensional global attractor for the Navier-Stokes-$\alpha$-Boussinesq modelLe Thi Thuy, Tran Quang Thinh, Vu Manh Toi대한수학회 · 대한수학회보2025 · 제62권 제6호Existence of strong mild solution of the Navier-Stokes equations in the half space with nondecaying initial data배형옥, 진범자대한수학회 · 대한수학회지2012 · 제49권 제1호Existence and long-time behavior of solutions to Navier-Stokes-Voigt equations with infinite delayCung The Anh, Dang Thi Phuong Thanh대한수학회 · 대한수학회보2018 · 제55권 제2호

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