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Large-time behavior of solutions for a nonlinear system of wave equations

✍ Scribed by Hideo Kubo

Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
125 KB
Volume
63
Category
Article
ISSN
0362-546X

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πŸ“œ SIMILAR VOLUMES

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Long time behavior of solutions for a nonlinear evolution equation
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The main purpose of this article is to show that the existence of an exponential attractor for the dynamical system associated with the equations of the system of the 2D magneto-micropolar fluid flow in a bounded domain.

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✍ 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