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
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