66 citations · 171 across the 35 of their papers we have counts for
6 papers · 1 filter
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…
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…
Long-time existence for the 2D ideal Boussinesq and the 2D density-dependent Euler equations
Hantaek Bae, Milton Lopes Filho, Anna Mazzucato +1
We establish long-time existence of smooth solutions to the 2D ideal Boussinesq equations and to the 2D non-homogeneous incompressible Euler equations for initial data consisting o…
Enhanced dissipation by advection and applications to PDEs
Anna L. Mazzucato, Yuanyuan Feng, Camilla Nobili
This survey provides a concise yet comprehensive overview on enhanced dissipation phenomena, transitioning seamlessly from the physical principles underlying the interplay between…