On 2d incompressible Euler equations with partial damping
主 题: On 2d incompressible Euler equations with partial damping
报告人: Prof. Wenqing Hu (Missouri University of Science and Technology)
时 间: 2018-06-05 09:00-10:30
地 点: Room 1303, Sciences Building No. 1
Abstract: The statistical approach led R. H. Kraichnan to conjecture the existence of energy and enstrophy transfers between different Fourier modes in 2d Navier-Stokes turbulence [Phys. Fluids 10 (1967), no. 7, 1417–1423]. The present work is motivated by an interesting question: what if some of the Fourier modes are removed or added? In this talk, we illustrate that damping of spatial frequencies of Fourier modes can have an effect on properties of the solutions, hence in turn on the transfer process of 2d turbulence, as the modes are associated with vorticity gradients generated at small scales in the turbulence. Joint work with Vladimir Sverak and Tarek Elgindi.