Dimension Estimate of the Global Attractor for a 3D Brinkman- Forchheimer Equation
نویسندگان
چکیده
In this paper, we study the dimension estimate of global attractor for a 3D Brinkman-Forchheimer equation. Based on differentiability semigroup with respect to initial data, show that strong solution equation has finite Hausdorff and fractal dimensions.
منابع مشابه
Dimension Estimate for the Global Attractor of an Evolution Equation
and Applied Analysis 3 In 15 the asymptotic behavior of 1.1 was studied and it was proven the existence of a global attractor for the semigroup associated to 1.1 , that is, the semigroup of operators defined as S t : u0 ∈ H −→ u t ∈ H, 1.4 The main tool in proving the existence of a global attractor is to show the existence of an absorbing set inH2 I see Theorem 1.1 in 1 . Theorem 1.1 see 15 . ...
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ژورنال
عنوان ژورنال: Wuhan University Journal of Natural Sciences
سال: 2023
ISSN: ['1007-1202', '1993-4998']
DOI: https://doi.org/10.1051/wujns/2023281001