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math.AP2021
Enhanced dissipation and Taylor dispersion in higher-dimensional parallel shear flows
Michele Coti Zelati, Thierry Gallay
We consider the evolution of a passive scalar advected by a parallel shear flow in an infinite cylinder with bounded cross section, in arbitrary space dimension. The essential para…
math.AP2021
Global Existence for the Two-dimensional Kuramoto-Sivashinsky equation with a Shear Flow
Michele Coti Zelati, Michele Dolce, Yuanyuan Feng +1
We consider the Kuramoto-Sivashinsky equation (KSE) on the two-dimensional torus in the presence of advection by a given background shear flow. Under the assumption that the shear…