Gianluca Crippa

Continuity equations and ODE flows with non-smooth velocity

Luigi Ambrosio, Gianluca Crippa · Proceedings of the Royal Society of Edinburgh Section A Mathematics · 2014 · 122 citations · Full text

Engineering, Fluid Mechanics, Hyperbolic Conservation Law +8

Existence and uniqueness of measure solutions for a system of continuity equations with non-local flow

Gianluca Crippa, Magali Lécureux-Mercier · Nonlinear Differential Equations and Applications NoDEA · 2012 · 85 citations · Full text

Non-local Flow, Continuity Equations, Functional Analysis +1

A uniqueness result for the continuity equation in two dimensions

Giovanni Alberti, Stefano Bianchini, Gianluca Crippa · Journal of the European Mathematical Society · 2014 · 75 citations · Full text

Monge-ampere Equation, Uniqueness Result, Geometric Partial Differential Equation +7

LAGRANGIAN FLOWS FOR VECTOR FIELDS WITH GRADIENT GIVEN BY A SINGULAR INTEGRAL

François Bouchut, Gianluca Crippa · Journal of Hyperbolic Differential Equations · 2013 · 57 citations · Full text

Geometric Partial Differential Equation, Geometric Flow, Quantitative Estimates +7

Some New Well-Posedness Results for Continuity and Transport Equations, and Applications to the Chromatography System

Luigi Ambrosio, Gianluca Crippa, Alessio Figalli et al. · SIAM Journal on Mathematical Analysis · 2009 · 49 citations · Full text

Engineering, Continuous Solutions, Uniqueness Theorem +16