Gianluca Crippa
- Continuity equations and ODE flows with non-smooth velocity
2014/12/01 by Luigi Ambrosio, Gianluca Crippa · 11 citations
Engineering · Mathematics · #Advanced Mathematical Physics Problems #Navier-Stokes equation solutions #Stability and Controllability of Differential Equations
- Anomalous dissipation and lack of selection in the Obukhov-Corrsin theory of scalar turbulence
2022/07/14 by Maria Colombo, Colombo, Maria, Gianluca Crippa +3 · 5 citations
Earth and Planetary Sciences · Economics, Econometrics and Finance · Engineering · #35A02 #60H10 #76F02 #76F10 #76R50 #Analysis of PDEs (math.AP) #Complex Systems and Time Series Analysis #FOS: Mathematics #Fluid Dynamics and Turbulent Flows #Meteorological Phenomena and Simulations
- On the role of numerical viscosity in the study of the local limit of\n nonlocal conservation laws
2019/02/20 by Maria Colombo, Gianluca Crippa, Colombo, Maria +5 · 3 citations
Engineering · Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #Navier-Stokes equation solutions #Numerical Analysis (math.NA)
- Ole\uınik-type estimates for nonlocal conservation laws and applications to the nonlocal-to-local limit
2023/04/03 by Giuseppe Maria Coclite, Coclite, Giuseppe Maria, Maria Colombo +13 · 5 citations
Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions #Nonlinear Partial Differential Equations
- Existence and stability of weak solutions of the Vlasov--Poisson system in localized Yudovich spaces
2023/06/01 by Gianluca Crippa, Marco Inversi, Crippa, Gianluca +5 · 2 citations
Economics, Econometrics and Finance · Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Gas Dynamics and Kinetic Theory #Navier-Stokes equation solutions #Stochastic processes and financial applications
- Mixing in incompressible flows: transport, dissipation, and their interplay
2023/08/01 by Michele Coti Zelati, Zelati, Michele Coti, Gianluca Crippa +5 · 3 citations
Engineering · Mathematics · Physics and Astronomy · #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions #Quantum chaos and dynamical systems #Stability and Controllability of Differential Equations
- Lagrangian flows for vector fields with anisotropic regularity
2014/12/08 by Anna Bohun, François Bouchut, Bohun, Anna +3 · 1 citation
Mathematics · #Advanced Harmonic Analysis Research #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions #Nonlinear Partial Differential Equations
- A Directional Lipschitz Extension Lemma, with Applications to Uniqueness\n and Lagrangianity for the Continuity Equation
2018/12/17 by Laura Caravenna, Gianluca Crippa, Caravenna, Laura +1 · 1 citation
Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions #Nonlinear Partial Differential Equations
- Recent results on the singular local limit for nonlocal conservation laws
2019/02/19 by Maria Colombo, Gianluca Crippa, Colombo, Maria +5 · 1 citation
Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Gas Dynamics and Kinetic Theory #Navier-Stokes equation solutions
- A note on the Lagrangian flow associated to a partially regular vector\n field
2019/07/31 by Gianluca Crippa, Crippa, Gianluca, Silvia Ligabue +1 · 1 citation
Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations