- Series
- PDE Seminar
- Time
- Tuesday, October 8, 2024 - 3:30pm for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Manh Khang Huynh – Georgia Tech – mhuynh41@gatech.edu – https://sites.google.com/view/hmkhang24/home
- Organizer
- Gong Chen
In this paper we propose a general dynamical mechanism that can lead to the failure of the Batchelor's mode-wise power spectrum law in passive scalar turbulence and hyperbolic dynamics, while the cumulative law remains true. Of technical interest, we also employ a novel method of power spectral variance to establish an exponential radial shell law for the Batchelor power spectrum. An accessible explanation of the power spectrum laws via harmonic analysis is also given.