Gianluca Crippa

Applied Mathematics · 2008–2018

A researcher in the Science corpus: 9 papers; trusts 27 researchers and is trusted by 20 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 62 citations into it; #750 of 7,620 by trust here, #685 by citations
• Mathematical Physics — 25 citations into it; #1,027 of 8,562 by trust here, #997 by citations
• Control and Systems Engineering — 24 citations into it; #2,363 of 8,257 by trust here, #2,612 by citations
• Computational Theory and Mathematics — 15 citations into it; #6,929 of 12,182 by trust here, #4,199 by citations
• Geometry and Topology — 11 citations into it
• Ocean Engineering — 9 citations into it
• Genetics — 7 citations into it
• Finance — 6 citations into it

Whom Gianluca Crippa trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Luigi Ambrosio
2. Alberto Bressan
3. François Bouchut
4. Grégoire Loeper
5. Nicola Bellomo
6. Cédric Villani
7. Camillo De Lellis
8. Roger L. Hughes
9. Jean-Michel Coron
10. Stefania Maniglia

Who trusts Gianluca Crippa overall

1. Xicheng Zhang
2. Elia Brué
3. Dario Trevisan
4. Giovanni S. Alberti
5. Pierre-Emmanuel Jabin
6. Cristiana De Filippis
7. Luigi Ambrosio
8. F. Bouchut
9. Longjie Xie
10. Giuseppe Mingione

Papers from Gianluca Crippa's perspective

Ordered by how strongly the researchers Gianluca Crippa trusts endorse each paper. Same corpus, a different order for every researcher.

1. Transport equation and Cauchy problem for BV vector fields
2. On two-dimensional Hamiltonian transport equations with continuous coefficients (Differential and Integral Equations)
3. Optimal Transport: Old and New
4. Topics in Optimal Transportation
5. Renormalized Solutions to the Vlasov Equation with Coefficients of Bounded Variation
6. Transport Equation and Cauchy Problem for Non-Smooth Vector Fields
7. An ill posed Cauchy problem for a hyperbolic system in two space dimensions
8. Ordinary Differential Equations
9. On two-dimensional hamiltonian transport equations with Llocp coefficients
10. Probabilistic representation and uniqueness results for measure-valued solutions of transport equations

Their papers

• Existence, Uniqueness, Stability and Differentiability Properties of the Flow Associated to Weakly Differentiable Vector Fields (2009) — 175 citations
• A uniqueness result for the continuity equation in two dimensions (2014) — 85 citations
• Loss of Regularity for the Continuity Equation with Non-Lipschitz Velocity Field (2018) — 48 citations
• Continuity equations and ODE flows with non-smooth velocity* (2014) — 171 citations
• Exponential self-similar mixing and loss of regularity for continuity equations (2014) — 47 citations
• Structure of level sets and Sard-type properties of Lipschitz maps (2013) — 99 citations
• Lagrangian flows for vector fields with gradient given by a singular integral (2012) — 79 citations
• Existence and uniqueness of measure solutions for a system of continuity equations with non-local flow (2011) — 106 citations
• Estimates and regularity results for the DiPerna-Lions flow (2008) — 342 citations