no code implementations • 4 Mar 2021 • Michele Coti Zelati, Michele Dolce, Yuanyuan Feng, Anna L. Mazzucato
We consider the Kuramoto-Sivashinsky equation (KSE) on the two-dimensional torus in the presence of advection by a given background shear flow.
Analysis of PDEs 35K25, 35K58, 76E06, 76F25
no code implementations • 5 Jan 2021 • Paolo Antonelli, Michele Dolce, Pierangelo Marcati
In the inviscid case there is a generic Lyapunov type instability for the density and the irrotational component of the velocity field.
Analysis of PDEs Astrophysics of Galaxies Mathematical Physics Mathematical Physics Fluid Dynamics 35Q31, 35Q35, 76N99
