L2-compact uniform attractors for a nonautonomous incompressible non-Newtonian fluid with locally uniformly integrable external forces in distribution space

2007 ◽  
Vol 48 (3) ◽  
pp. 032702 ◽  
Author(s):  
Caidi Zhao ◽  
Shengfan Zhou
Keyword(s):  
Newtonian Fluid ◽  
Distribution Space ◽  
Uniform Attractors ◽  
External Forces

scholarly journals Strong Uniform Attractors for Nonautonomous Suspension Bridge-Type Equations

2012 ◽  
Vol 2012 ◽  
pp. 1-19
Author(s):  
Xuan Wang ◽  
Qiaozhen Ma
Keyword(s):  
Hilbert Space ◽  
Dynamical Behavior ◽  
Type Equation ◽  
Strong Solutions ◽  
Suspension Bridge ◽  
Bridge Type ◽  
Uniform Attractors ◽  
External Forces ◽  
Higher Regularity

We discuss long-term dynamical behavior of the solutions for the nonautonomous suspension bridge-type equation in the strong Hilbert spaceD(A)×H2(Ω)∩H01(Ω), where the nonlinearityg(u,t)is translation compact and the time-dependent external forcesh(x,t)only satisfy condition (C*) instead of translation compact. The existence of strong solutions and strong uniform attractors is investigated using a new process scheme. Since the solutions of the nonautonomous suspension bridge-type equation have no higher regularity and the process associated with the solutions is not continuous in the strong Hilbert space, the results are new and appear to be optimal.

scholarly journals Uniform attractors of 3D Navier-Stokes-Voigt equations with memory and singularly oscillating external forces

2021 ◽  
Vol 10 (1) ◽  
pp. 1-23
Author(s):  
Cung The Anh ◽  
◽  
Dang Thi Phuong Thanh ◽  
Nguyen Duong Toan ◽  
◽  
...  
Keyword(s):  
Navier Stokes ◽  
Uniform Attractors ◽  
External Forces ◽  
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