Dynamics of 2D Stochastic non-Newtonian fluids driven by fractional Brownian motion

Details Dynamics of 2D Stochastic non-Newtonian fluids driven by fractional Brownian motion Dynamics of 2D Stochastic non-Newtonian fluids driven by fractional Brownian motion

2011-05-14

arxiv.org/abs/1105.2856v2

Physics

Mathematical Physics

Scientific paper

A 2D Stochastic incompressible non-Newtonian fluids driven by fractional Bronwnian motion with Hurst parameter $H \in (1/2,1)$ is studied. The Wiener-type stochastic integrals are introduced for infinite-dimensional fractional Brownian motion. Four groups of assumptions, including the requirement of Nuclear operator or Hilbert-Schmidt operator, are discussed. The existence and regularity of stochastic convolution for the corresponding additive linear stochastic equation are obtained under each group of assumptions. Mild solution are then obtained for the non-Newtonian systems by the modified fix point theorem in the selected intersection space. When the domain is square, the random dynamical system generated by non-Newtonian systems has a random attractor under some condition on the spectrum distribution of the corresponding differential operator.

Affiliated with

Also associated with

No associations

Rating

Dynamics of 2D Stochastic non-Newtonian fluids driven by fractional Brownian motion does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Dynamics of 2D Stochastic non-Newtonian fluids driven by fractional Brownian motion, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Dynamics of 2D Stochastic non-Newtonian fluids driven by fractional Brownian motion will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-578914