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Large-time behavior of the weak solution to 3D Navier–Stokes equations

✍ Scribed by A.G. Ramm

Book ID
115539866
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
213 KB
Volume
26
Category
Article
ISSN
0893-9659

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The large time behavior of solutions to
The large time behavior of solutions to 3D Navier–Stokes equations with nonlinear damping
✍ 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