Language:   Search:   Contact
Zentralblatt MATH has released its new interface!
For an improved author identification, see the new author database of ZBMATH.

Query:
Fill in the form and click »Search«...
Format:
Display: entries per page entries
Zbl 1152.35012
Zhao, Caidi; Zhou, Shengfan
Pullback attractors for a non-autonomous incompressible non-Newtonian fluid.
(English)
[J] J. Differ. Equations 238, No. 2, 394-425 (2007). ISSN 0022-0396

In the present study the authors discuss the existence and regularity of pullback attractors for the following non-autonomous incompressible non-Newtonian fluid in 2D bounded domains: $${\partial u\over\partial t}+ (u\cdot\nabla) u+\nabla p= \nabla\cdot\tau(e(u))+ g(x, t),\quad x= (x_1,x_2)\in \Omega,\tag1$$ $$\nabla\cdot u= 0,\tag2$$ where $\Omega$ is a smooth bounded domain of $\bbfR^2$, $u= u(x,t)= (u^{(1)}(x,t), u^{(2)}(x, t))$, $g(x,t)= g(t)= (g^{(1)}(x,t), g^{(2)}(x, t))$, the scalar function $p$ represents the pressure. Equations (1)--(2) describe the motion of an isothermal incompressible viscous fluid, where $\tau(e(u))= (\tau_{ij}(e(u)))_{2\times 2}$ which is usually called the extra stress tensor of the fluid.
[Messoud A. Efendiev (Berlin)]
MSC 2000:
*35B41 Attractors
35Q35 Other equations arising in fluid mechanics
76D03 Existence, uniqueness, and regularity theory

Keywords: incompressible non-Newtonian fluid; non-autonomous systems; pullback attractor; normal external force; asymptotic smoothing effect

Highlights
Master Server