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Global solution and large-time behavior of the 3D compressible Euler equations with damping

✍ Scribed by Zhong Tan; Yong Wang

Book ID
118186067
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
272 KB
Volume
254
Category
Article
ISSN
0022-0396

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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 πŸ“‚ Article πŸ“… 2011 πŸ› John Wiley and Sons 🌐 English βš– 111 KB πŸ‘ 1 views

This paper studies the Cauchy problem of the 3D Navier–Stokes equations with nonlinear damping term | __u__ | ^__Ξ²__βˆ’1^__u__ (__Ξ²__ β‰₯ 1). For __Ξ²__ 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