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Global Smooth Solution and Large Time Behavior of the One-Dimensional Navier–Stokes Equations

✍ Scribed by Tao Pang

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
137 KB
Volume
236
Category
Article
ISSN
0022-247X

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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