This paper studies the Cauchy problem of the 3D Navier–Stokes equations with nonlinear damping term | __u__ | ^__β__−1^__u__ (__β__ ≥ 1). For __β__ ≥ 3, we derive a decay rate of the __L__^2^‐norm of the solutions. Then, the large time behavior is given by comparing the equation with the classic 3D
✦ LIBER ✦
The asymptotic behavior of solutions to three-dimensional Navier–Stokes equations with nonlinear damping
✍ Scribed by Yan Jia; Xingwei Zhang; Bo-Qing Dong
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 273 KB
- Volume
- 12
- Category
- Article
- ISSN
- 1468-1218
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