Publication 18-CNA-014

Dissipation Enhancement By Mixing

Yuanyuan Feng
Department of Mathematical Sciences
Carnegie Mellon University
Pittsburgh, PA 15213
yuanyuaf@andrew.cmu.edu

Gautam Iyer
Department of Mathematical Sciences
Carnegie Mellon University
Pittsburgh, PA 15213
gautam@math.cmu.edu

Abstract: We quantitatively study the interaction between diffusion and mixing in both the continuous, and discrete time setting. In discrete time, we consider a mixing dynamical system interposed with diffusion. In continuous time, we consider the advection diffusion equation where the advecting vector field is assumed to be sufficiently mixing. The main results of this paper estimate the dissipation time and energy decay based on an assumption quantifying the mixing rate.

Get the paper in its entirety as  18-CNA-014.pdf

---

«   Back to CNA Publications