68 citations · 529 across the 37 of their papers we have counts for
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Gamma Convergence Approach For The Large Deviations Of The Density In Systems Of Interacting Diffusion Processes
Julien Barré, Cedric Bernardin, Raphaël Chétrite +2
We consider extended slow-fast systems of N interacting diffusions. The typical behavior of the empirical density is described by a nonlinear McKean-Vlasov equation depending on ,…
2D Constrained Navier-Stokes Equations
Zdzisław Brzeźniak, Gaurav Dhariwal, Mauro Mariani
We study 2D Navier-Stokes equations with a constraint on energy of the solution. We prove the existence and uniqueness of a global solution for the constrained Navier-Stokes…
Convergence of the one-dimensional Cahn-Hilliard equation
Giovanni Bellettini, Lorenzo Bertini, Mauro Mariani +1
We consider the Cahn-Hilliard equation in one space dimension with scaling a small parameter εand a non-convex potential W. In the limit \espilon \to 0, under the assumption that t…
A variational approach to the inviscous limit of fractional conservation laws
Mauro Mariani, Yannick Sire
We are concerned with a control problem related to the vanishing \emph{fractional} viscosity approximation to scalar conservation laws. We investigate the -convergence of the co…
Quasi-potentials of the entropy functionals for scalar conservation laws
Giovanni Bellettini, Federica Caselli, Mauro Mariani
We investigate the quasi-potential problem for the entropy cost functionals of non-entropic solutions to scalar conservation laws with smooth fluxes. We prove that the quasi-potent…
Gamma-entropy cost for scalar conservation laws
Giovanni Bellettini, Lorenzo Bertini, Mauro Mariani +1
We are concerned with a control problem related to the vanishing viscosity approximation to scalar conservation laws. We investigate the -convergence of the control cost functio…