Title: Application of the Enhanced Dissipation Phenomenon

 

 

Abstract: The dissipation effect can be amplified when the fluid transport effect is apparent. This amplification is known as the enhanced dissipation phenomenon. In specific parameter regimes, this fluid mechanism can contribute to suppressing potential singularities in nonlinear chemotaxis systems, ensuring hydrodynamic stability of shear flows, and facilitating communication among agents in collective dynamics. In this talk, I will survey several results related to the enhanced dissipation phenomenon.

 

 

Host: Yimin Zhong