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Long time behavior of solutions of nonlinear classical field equations: the example of NLS defocusing

✍ Scribed by Yves Pomeau

Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
967 KB
Volume
61
Category
Article
ISSN
0167-2789

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πŸ“œ SIMILAR VOLUMES

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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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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