Fluid Flows and Irregular Transport

Project Information

FLIRT

Grant agreement ID: 676675

DOI 10.3030/676675

Project closed

EC signature date 10 December 2015

Start date 1 June 2016

End date 31 May 2022

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost € 1 009 351,00

EU contribution € 1 009 351,00

Coordinated by

UNIVERSITAT BASEL
Switzerland

CORDIS provides links to public deliverables and publications of HORIZON projects.

Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Publications

Peer reviewed articles (33)

Pointwise Convergence of the Schrödinger Flow

Author(s): Erin Compaan, Renato Lucà, Gigliola Staffilani
Published in: International Mathematics Research Notices, 2020, ISSN 1073-7928
Publisher: Oxford University Press
DOI: 10.1093/imrn/rnaa036

The rectifiability of the entropy defect measure for Burgers equation

Author(s): Elio Marconi
Published in: Journal of Functional Analysis, Issue 283, 2022, ISSN 0022-1236
Publisher: Academic Press
DOI: 10.1016/j.jfa.2022.109568

Growth of Sobolev norms and loss of regularity in transport equations

Author(s): Gianluca Crippa; Tarek Elgindi; Gautam Iyer; Anna L. Mazzucato
Published in: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Issue 380, 2022, ISSN 1364-503X
Publisher: Royal Society of London
DOI: 10.1098/rsta.2021.0024

Local Central Limit Theorem for a Random Walk Perturbed in One Point

Author(s): Giuseppe Genovese, Renato Lucà
Published in: Mathematical Physics, Analysis and Geometry, Issue 22/3, 2019, ISSN 1385-0172
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s11040-019-9316-6

Smooth approximation is not a selection principle for the transport equation with rough vector field

Author(s): Gennaro Ciampa, Gianluca Crippa, Stefano Spirito
Published in: Calculus of Variations and Partial Differential Equations, Issue 59/1, 2020, ISSN 0944-2669
Publisher: Springer Verlag
DOI: 10.1007/s00526-019-1659-0

Forward untangling and applications to the uniqueness problem for the continuity equation

Author(s): Stefano Bianchini, Paolo Bonicatto
Published in: Discrete & Continuous Dynamical Systems - A, Issue 0/0, 2019, Page(s) 0-0, ISSN 1553-5231
Publisher: AIMS
DOI: 10.3934/dcds.2020384

Weak Solutions Obtained by the Vortex Method for the 2D Euler Equations are Lagrangian and Conserve the Energy

Author(s): Gennaro Ciampa, Gianluca Crippa, Stefano Spirito
Published in: Journal of Nonlinear Science, Issue 30/6, 2020, Page(s) 2787-2820, ISSN 0938-8974
Publisher: Springer Verlag
DOI: 10.1007/s00332-020-09635-8

On the advection-diffusion equation with rough coefficients: weak solutions and vanishing viscosity

Author(s): Paolo Bonicatto, Gennaro Ciampa, Gianluca Crippa
Published in: journal de mathématiques pures et appliquées, 2022, ISSN 0021-7824
Publisher: Elsevier BV
DOI: 10.48550/arxiv.2107.03659

A uniqueness result for the decomposition of vector fields in $$\mathbb {R}^{{d}}$$

Author(s): Stefano Bianchini, Paolo Bonicatto
Published in: Inventiones mathematicae, Issue 220/1, 2020, Page(s) 255-393, ISSN 0020-9910
Publisher: Springer Verlag
DOI: 10.1007/s00222-019-00928-8

Non-uniqueness of signed measure-valued solutions to the continuity equation in presence of a unique flow

Author(s): Paolo Bonicatto, Nikolay Gusev
Published in: Rendiconti Lincei - Matematica e Applicazioni, Issue 30/3, 2019, Page(s) 511-531, ISSN 1120-6330
Publisher: Accademia Nazionale dei Lincei
DOI: 10.4171/rlm/858

Uniqueness and Lagrangianity for solutions with lack of integrability of the continuity equation

Author(s): Laura Caravenna, Gianluca Crippa
Published in: Comptes Rendus Mathematique, Issue 354/12, 2016, Page(s) 1168-1173, ISSN 1631-073X
Publisher: Elsevier Masson
DOI: 10.1016/j.crma.2016.10.009

Lagrangian solutions to the Vlasov-Poisson system with a point charge

Author(s): Gianluca Crippa, Silvia Ligabue, Chiara Saffirio
Published in: Kinetic & Related Models, Issue 11/6, 2018, Page(s) 1277-1299, ISSN 1937-5077
Publisher: AIMS
DOI: 10.3934/krm.2018050

Eulerian and Lagrangian Solutions to the Continuity and Euler Equations with $L^1$ Vorticity

Author(s): Gianluca Crippa, Camilla Nobili, Christian Seis, Stefano Spirito
Published in: SIAM Journal on Mathematical Analysis, Issue 49/5, 2017, Page(s) 3973-3998, ISSN 0036-1410
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/17m1130988

A note on pointwise convergence for the Schrödinger equation

Author(s): RENATO LUCÀ, KEITH M. ROGERS
Published in: Mathematical Proceedings of the Cambridge Philosophical Society, 2017, Page(s) 1-10, ISSN 0305-0041
Publisher: Cambridge University Press
DOI: 10.1017/S0305004117000743

Optimality of integrability estimates for advection–diffusion equations

Author(s): Stefano Bianchini, Maria Colombo, Gianluca Crippa, Laura V. Spinolo
Published in: Nonlinear Differential Equations and Applications NoDEA, Issue 24/4, 2017, ISSN 1021-9722
Publisher: Birkhauser Verlag
DOI: 10.1007/s00030-017-0455-9

Cellular mixing with bounded palenstrophy

Author(s): Gianluca Crippa, Christian Schulze
Published in: Mathematical Models and Methods in Applied Sciences, Issue 27/12, 2017, Page(s) 2297-2320, ISSN 0218-2025
Publisher: World Scientific Publishing Co
DOI: 10.1142/s0218202517500452

Stability Properties of the Regular Set for the Navier–Stokes Equation

Author(s): Piero D’Ancona, Renato Lucà
Published in: Journal of Mathematical Fluid Mechanics, Issue 20/2, 2018, Page(s) 819-852, ISSN 1422-6928
Publisher: Birkhauser Verlag
DOI: 10.1007/s00021-017-0349-y

A limiting absorption principle for the Helmholtz equation with variable coefficients

Author(s): Federico Cacciafesta, Piero D'Ancona, Renato Lucà
Published in: Journal of Spectral Theory, Issue 8/4, 2018, Page(s) 1349-1392, ISSN 1664-039X
Publisher: EMS Publishing House
DOI: 10.4171/jst/229

Invariant measures for the periodic derivative nonlinear Schrödinger equation

Author(s): Giuseppe Genovese, Renato Lucà, Daniele Valeri
Published in: Mathematische Annalen, 2018, ISSN 0025-5831
Publisher: Springer Verlag
DOI: 10.1007/s00208-018-1754-0

Exponential self-similar mixing by incompressible flows

Author(s): Giovanni Alberti, Gianluca Crippa, Anna L. Mazzucato
Published in: Journal of the American Mathematical Society, 2018, Page(s) 1, ISSN 0894-0347
Publisher: American Mathematical Society
DOI: 10.1090/jams/913

Loss of Regularity for the Continuity Equation with Non-Lipschitz Velocity Field

Author(s): Giovanni Alberti, Gianluca Crippa, Anna L. Mazzucato
Published in: Annals of PDE, Issue 5/1, 2019, ISSN 2524-5317
Publisher: Springer
DOI: 10.1007/s40818-019-0066-3

On the Singular Local Limit for Conservation Laws with Nonlocal Fluxes

Author(s): Maria Colombo, Gianluca Crippa, Laura V. Spinolo
Published in: Archive for Rational Mechanics and Analysis, Issue 233/3, 2019, Page(s) 1131-1167, ISSN 0003-9527
Publisher: Springer Verlag
DOI: 10.1007/s00205-019-01375-8

Polynomial mixing under a certain stationary Euler flow

Author(s): Gianluca Crippa, Renato Lucà, Christian Schulze
Published in: Physica D: Nonlinear Phenomena, Issue 394, 2019, Page(s) 44-55, ISSN 0167-2789
Publisher: Elsevier BV
DOI: 10.1016/j.physd.2019.01.009

Existence Results for Minimizers of Parametric Elliptic Functionals

Author(s): Guido De Philippis, Antonio De Rosa, Francesco Ghiraldin
Published in: The Journal of Geometric Analysis, 2019, ISSN 1050-6926
Publisher: American Mathematical Society
DOI: 10.1007/s12220-019-00165-8

A Directional Lipschitz Extension Lemma, with Applications to Uniqueness and Lagrangianity for the Continuity Equation

Author(s): Caravenna, Laura; Crippa, Gianluca
Published in: Communications in Partial Differential Equations, 2021, ISSN 0360-5302
Publisher: Marcel Dekker Inc.
DOI: 10.1080/03605302.2021.1883650

Optimal Besov Differentiability for Entropy Solutions of the Eikonal Equation

Author(s): Francesco Ghiraldin, Xavier Lamy
Published in: Communications on Pure and Applied Mathematics, Issue 73/2, 2019, Page(s) 317-349, ISSN 0010-3640
Publisher: John Wiley & Sons Inc.
DOI: 10.1002/cpa.21868

On the role of numerical viscosity in the study of the local limit of nonlocal conservation laws

Author(s): Colombo, Maria; Crippa, Gianluca; Graff, Marie; Spinolo, Laura V.
Published in: ESAIM Math. Model. Numer. Anal., 2021, ISSN 2822-7840
Publisher: EDP Sciences
DOI: 10.1051/m2an/2021073

Strong convergence of the vorticity for the 2D Euler Equations in the inviscid limit

Author(s): Gennaro Ciampa, Gianluca Crippa, Stefano Spirito
Published in: Archive for Rational Mechanics and Analysis, 2021, ISSN 0003-9527
Publisher: Springer Verlag
DOI: 10.1007/s00205-021-01612-z

Indecomposable sets of finite perimeter in doubling metric measure spaces

Author(s): Paolo Bonicatto, Enrico Pasqualetto, Tapio Rajala
Published in: Calculus of Variations and Partial Differential Equations, Issue 59/2, 2020, ISSN 0944-2669
Publisher: Springer Verlag
DOI: 10.1007/s00526-020-1725-7

Sub-exponential mixing of generalized cellular flows with bounded palenstrophy

Author(s): Gianluca Crippa, Christian Schulze
Published in: Mathematics in Engineering, 2022, ISSN 2640-3501
Publisher: AIMS Press
DOI: 10.3934/mine.2023006

On the structure of weak solutions to scalar conservation laws with finite entropy production

Author(s): Elio Marconi
Published in: Calculus of Variations and Partial Differential Equations, Issue 61, 2022, ISSN 0944-2669
Publisher: Springer Verlag
DOI: 10.1007/s00526-021-02137-9

Local limit of nonlocal traffic models: convergence results and total variation blow-up

Author(s): Maria Colombo, Gianluca Crippa, Elio Marconi, Laura V. Spinolo
Published in: Annales de l'Institut Henri Poincaré C, Analyse Non Linéaire, 2021, ISSN 0294-1449
Publisher: Elsevier BV
DOI: 10.1016/j.anihpc.2020.12.002

Regularity estimates for the flow of BV autonomous divergence free vector fields in R^2

Author(s): Paolo Bonicatto, Elio Marconi
Published in: Communications in Partial Differential Equations, Issue 46, 2021, ISSN 0360-5302
Publisher: Marcel Dekker Inc.
DOI: 10.1080/03605302.2021.1931883

Other (10)

Generalized Bakry-Émery curvature condition and equivalent entropic inequalities in groups

Author(s): Giorgio Stefani
Published in: 2020
Publisher: NN

On Double Hölder Regularity of the Hydrodynamic Pressure in Bounded Domains

Author(s): Luigi De Rosa, Mickaël Latocca, Giorgio Stefani
Published in: 2022
Publisher: NN
DOI: 10.48550/arxiv.2205.00929

Nonlocal traffic models with general kernels: singular limit, entropy admissibility, and convergence rate

Author(s): Maria Colombo, Gianluca Crippa, Elio Marconi, Laura V. Spinolo
Published in: 2022
Publisher: NN
DOI: 10.48550/arxiv.2206.03949

An elementary proof of existence and uniqueness for the Euler flow in localized Yudovich spaces

Author(s): Gianluca Crippa, Giorgio Stefani
Published in: 2021
Publisher: NN
DOI: 10.48550/arxiv.2110.15648

Weak-strong uniqueness and vanishing viscosity for incompressible Euler equations in exponential spaces

Author(s): Luigi De Rosa, Marco Inversi, Giorgio Stefani
Published in: 2022
Publisher: NN
DOI: 10.48550/arxiv.2204.12779

Structure and regularity of solutions to 1d scalar conservation laws

Author(s): Elio Marconi
Published in: 2019
Publisher: NN

Recent results on the singular local limit for nonlocal conservation laws

Author(s): Colombo, Maria; Crippa, Gianluca; Graff, Marie; Spinolo, Laura Valentina
Published in: 2019
Publisher: NN

Anomalous dissipation and lack of selection in the Obukhov-Corrsin theory of scalar turbulence

Author(s): Maria Colombo, Gianluca Crippa, Massimo Sorella
Published in: 2022
Publisher: NN
DOI: 10.48550/arxiv.2207.06833

On the structure of divergence-free measures on R^2

Author(s): Paolo Bonicatto, Nikolay A. Gusev
Published in: Advances in Calculus of Variations, 2021
Publisher: NN

A distributional approach to fractional Sobolev spaces and fractional variation: asymptotics II

Author(s): Elia Bruè, Mattia Calzi, Giovanni E. Comi, Giorgio Stefani
Published in: 2020
Publisher: NN

Conference proceedings (2)

Untangling of trajectories for non-smooth vector fields and Bressan's compactness conjecture

Author(s): Paolo Bonicatto, Stefano Bianchini
Published in: 2020
Publisher: AIMS

On smooth approximations of rough vector fields and the selection of flows

Author(s): Ciampa, Gennaro; Crippa, Gianluca; Spirito, Stefano
Published in: Hyperbolic Problems: Theory, Numerics, Applications, 2020
Publisher: AIMS