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The Interaction of the 3D Navier–Stokes Equations with a Moving Nonlinear Koiter Elastic Shell

✍ Scribed by Cheng, C. H. Arthur; Shkoller, Steve

Book ID
118197778
Publisher
Society for Industrial and Applied Mathematics
Year
2010
Tongue
English
Weight
577 KB
Volume
42
Category
Article
ISSN
0036-1410

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✍ Zaihong Jiang; Mingxuan Zhu 📂 Article 📅 2011 🏛 John Wiley and Sons 🌐 English ⚖ 111 KB 👁 1 views

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