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math.AP2026
Nonlinear Instability in the 2D Kuramoto-Sivashinsky equation
David M. Ambrose, Anna L. Mazzucato, Riccardo Montalto
In this paper we analyze the Kuramoto-Sivashinsky equation (KSE), a model of flame-front propagation, on a two-dimensional square torus of arbitrary size with . In thi…
math.AP2026
The Vanishing Viscosity Limit and Boundary Layers for Symmetric Fluid Flows with Anisotropic Viscosity
Valentina Galbiati, Anna Mazzucato, Riccardo Montalto
We study the vanishing viscosity limit for the incompressible Navier-Stokes equations with anisotropic viscosity in bounded domains, analyzing certain classes of symmetric flows: p…