Gianluca Crippa

1.7k total citations
54 papers, 799 citations indexed

About

Gianluca Crippa is a scholar working on Applied Mathematics, Mathematical Physics and Control and Systems Engineering. According to data from OpenAlex, Gianluca Crippa has authored 54 papers receiving a total of 799 indexed citations (citations by other indexed papers that have themselves been cited), including 44 papers in Applied Mathematics, 25 papers in Mathematical Physics and 15 papers in Control and Systems Engineering. Recurrent topics in Gianluca Crippa's work include Navier-Stokes equation solutions (39 papers), Advanced Mathematical Physics Problems (17 papers) and Nonlinear Partial Differential Equations (15 papers). Gianluca Crippa is often cited by papers focused on Navier-Stokes equation solutions (39 papers), Advanced Mathematical Physics Problems (17 papers) and Nonlinear Partial Differential Equations (15 papers). Gianluca Crippa collaborates with scholars based in Switzerland, Italy and France. Gianluca Crippa's co-authors include Camillo De Lellis, Luigi Ambrosio, François Bouchut, Stefano Bianchini, Magali Lécureux-Mercier, Giovanni Alberti, Maria Colombo, Luigi Ambrosio, Alessio Figalli and Chloé Jimenez and has published in prestigious journals such as Communications in Mathematical Physics, Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences and Archive for Rational Mechanics and Analysis.

In The Last Decade

Gianluca Crippa

49 papers receiving 724 citations

Peers

Gianluca Crippa

CSE

CTM

Stefano Bianchini Italy

Hermano Frid Brazil

Sergey Piskarev Russia

Thomas Runst Germany

Robert Denk Germany

Olivier Ley France

Régis Monneau France

Арлен Михайлович Ильин Russia

Julien Vovelle France

N. Krylov United States

Stefano Bianchini Italy

Gianluca Crippa

781 ×1.3

431 ×1.6

351 ×1.4

229 ×1.4

CSE

94 ×0.6

CTM

Citations per year, relative to Gianluca Crippa Gianluca Crippa (= 1×) peers Stefano Bianchini

Countries citing papers authored by Gianluca Crippa

Since Specialization

Citations

This map shows the geographic impact of Gianluca Crippa's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Gianluca Crippa with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Gianluca Crippa more than expected).

Fields of papers citing papers by Gianluca Crippa

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Gianluca Crippa. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Gianluca Crippa. The network helps show where Gianluca Crippa may publish in the future.

Co-authorship network of co-authors of Gianluca Crippa

This figure shows the co-authorship network connecting the top 25 collaborators of Gianluca Crippa. A scholar is included among the top collaborators of Gianluca Crippa based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Gianluca Crippa. Gianluca Crippa is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Crippa, Gianluca, et al.. (2025). A regularity result for the Fokker–Planck equation with non-smooth drift and diffusion. Nonlinear Analysis. 254. 113748–113748.

Crippa, Gianluca, et al.. (2024). Existence and stability of weak solutions of the Vlasov–Poisson system in localised Yudovich spaces. Nonlinearity. 37(9). 95015–95015.

Coclite, Giuseppe Maria, et al.. (2024). Oleinik-type estimates for nonlocal conservation laws and applications to the nonlocal-to-local limit. Journal of Hyperbolic Differential Equations. 21(3). 681–705. 1 indexed citations

Crippa, Gianluca, et al.. (2023). Weak and parabolic solutions of advection–diffusion equations with rough velocity field. Journal of Evolution Equations. 24(1). 1–1. 5 indexed citations

Brué, Elia, et al.. (2023). Onsager critical solutions of the forced Navier-Stokes equations. Communications on Pure & Applied Analysis. 23(10). 1350–1366. 5 indexed citations

Crippa, Gianluca, et al.. (2023). Nonlocal Traffic Models with General Kernels: Singular Limit, Entropy Admissibility, and Convergence Rate. Archive for Rational Mechanics and Analysis. 247(2). 17 indexed citations

Crippa, Gianluca & Christian Schulze. (2022). Sub-exponential mixing of generalized cellular flows with bounded palenstrophy. Mathematics in Engineering. 5(1). 1–12. 1 indexed citations

Crippa, Gianluca, et al.. (2020). Local limit of nonlocal traffic models: Convergence results and total variation blow-up. Annales de l Institut Henri Poincaré C Analyse Non Linéaire. 38(5). 1653–1666. 20 indexed citations

Crippa, Gianluca, et al.. (2018). Lagrangian solutions to the Vlasov-Poissosystem with a point charge. edoc (University of Basel). 4 indexed citations

10.

Crippa, Gianluca, et al.. (2018). A Directional Lipschitz Extension Lemma, with Applications to Uniqueness\n and Lagrangianity for the Continuity Equation. arXiv (Cornell University). 12 indexed citations

11.

Crippa, Gianluca, et al.. (2017). Eulerian and Lagrangian Solutions to the Continuity and Euler Equations with L 1 Vorticity \n \n \n \n \n \n \n \n \n. edoc (University of Basel). 17 indexed citations

12.

Crippa, Gianluca, et al.. (2016). Uniqueness and Lagrangianity for solutions with lack of integrability of\n the continuity equation. arXiv (Cornell University). 5 indexed citations

13.

Bouchut, François, et al.. (2015). Lagrangian solutions to the Vlasov–Poisson system with L1 density. Journal of Differential Equations. 260(4). 3576–3597. 9 indexed citations

14.

Crippa, Gianluca, et al.. (2015). Strong continuity for the 2D Euler equations. Kinetic and Related Models. 8(4). 685–689.

15.

Crippa, Gianluca, et al.. (2013). Flows of vector fields with point singularities and the vortex-wave\n system. arXiv (Cornell University). 1 indexed citations

16.

Crippa, Gianluca, et al.. (2009). Optimum and equilibrium in a transport problem with queue penalization effect. Advances in Calculus of Variations. 2(3). 207–246. 24 indexed citations

17.

Ambrosio, Luigi, et al.. (2009). Some New Well-Posedness Results for Continuity and Transport Equations, and Applications to the Chromatography System. SIAM Journal on Mathematical Analysis. 41(5). 1890–1920. 31 indexed citations

18.

Crippa, Gianluca. (2008). The ordinary differential equation with non-Lipschitz vector fields. Bollettino Della Unione Matematica Italiana. 1(2). 333–348. 7 indexed citations

19.

Bouchut, François & Gianluca Crippa. (2008). Équations de transport à coefficient dont le gradient est donné par une intégrale singulière. French digital mathematics library (Numdam). 1–13. 4 indexed citations

20.

Crippa, Gianluca. (2008). The flow associated to weakly differentiable vector fields. Zurich Open Repository and Archive (University of Zurich). 23 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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