11 papers
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 th…
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…
Phase separation for the 2D Cahn-Hilliard equation with a background shear flow
Yu Feng, Yuanyuan Feng, Anna L. Mazzucato +1
We consider the Cahn-Hilliard equation, which models phase separation in binary fluids, on the two-dimen\-sional torus in the presence of advection by a given background shear flow…
Pseudomeasure distributions for nonseparable, nonlocal mean field games
David M. Ambrose, Milton C. Lopes Filho, Anna L. Mazzucato +1
For a number of important mean field games models, the Hamiltonian is non-local and not additively separable. This means that the distribution of agents appears in the Hamiltonian…
Variational Principle and Stochastic Lagrangian Formulation of Viscous Hydrodynamic Equations
Anna Mazzucato, Anping Pan
In this manuscript, we extend Constantin-Iyer's Lagrangian formulation of Navier-Stokes Equation to a wider class of hydrodynamic models. Moreover, we prove that such Lagrangian fo…
On the vanishing viscosity limit for incompressible flows with inflow/outflow boundary conditions
Anna L. Mazzucato, Dehua Wang, Wei Wei
We study the vanishing viscosity limit for the incompressible Navier-Stokes equations (NSE) in a general bounded domain with inflow-outflow boundary conditions. Extending the work…