Uniform Asymptoticity of the Solution to the 2D <i>g</i>-Navier-Stokes Equation With Nonlinear Damping

WANG Xiaoxia

doi:10.21656/1000-0887.410398

Volume 43 Issue 4

Apr. 2022

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WANG Xiaoxia. Uniform Asymptoticity of the Solution to the 2D g-Navier-Stokes Equation With Nonlinear Damping[J]. Applied Mathematics and Mechanics, 2022, 43(4): 416-423. doi: 10.21656/1000-0887.410398

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Uniform Asymptoticity of the Solution to the 2D g-Navier-Stokes Equation With Nonlinear Damping

doi: 10.21656/1000-0887.410398

WANG Xiaoxia

College of Mathematics and Computer Science, Yan’an University, Yan’an, Shaanxi 716000, P.R.China

Received Date: 2020-12-31
Accepted Date: 2021-10-10
Rev Recd Date: 2021-10-10

Available Online: 2022-03-16

Publish Date: 2022-04-01

Abstract

Abstract

The uniform asymptoticity of the 2D g-Navier-Stokes equation with nonlinear damping in a bounded domain was studied. The existence of the uniform absorption set of the process family and the satisfaction of the uniform condition (C) were proved, and the uniform attractors of the 2D g-Navier-Stokes equation with nonlinear damping were obtained.
- g-Navier-Stokes equation,
- uniform condition (C),
- uniform asymptoticity

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References(21)

References

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