Advanced Search

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

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]