Items where Division is "05 Faculty of Science > Departement Mathematik und Informatik > Mathematik > Analysis (Crippa)"
Number of items at this level: 71. July 2022Colombo, Maria and Crippa, Gianluca and Sorella, Massimo. (2022) Anomalous dissipation and lack of selection in the Obukhov-Corrsin theory of scalar turbulence. Preprints Fachbereich Mathematik, 2022 (08). June 2022Colombo, Maria and Crippa, Gianluca and Marconi, Elio and Spinolo, Laura V.. (2022) Nonlocal traffic models with general kernels: singular limit, entropy admissibility, and convergence rate. Preprints Fachbereich Mathematik, 2022 (07). November 2021Bonicatto, Paolo and Ciampa, Gennaro and Crippa, Gianluca. (2021) On the advection-diffusion equation with rough coefficients: weak solutions and vanishing viscosity. Preprints Fachbereich Mathematik, 2021 (19). Crippa, Gianluca and Elgindi, Tarek and Iyer, Gautam and Mazzucato, Anna L.. (2021) Growth of Sobolev norms and loss of regularity in transport equations. Preprints Fachbereich Mathematik, 2021 (18). Crippa, Gianluca and Schulze, Christian. (2021) Sub-exponential mixing of generalized cellular flows with bounded palenstrophy. Preprints Fachbereich Mathematik, 2021 (17). Crippa, Gianluca and Stefani, Giorgio. (2021) An elementary proof of existence and uniqueness for the Euler flow in localized Yudovich spaces. Preprints Fachbereich Mathematik, 2021 (20). April 2021Caravenna, Laura and Crippa, Gianluca. (2021) A Directional Lipschitz Extension Lemma, with Applications to Uniqueness and Lagrangianity for the Continuity Equation. Preprints Fachbereich Mathematik, 2021 (10). Ciampa, Gennaro and Crippa, Gianluca and Spirito, Stefano. (2021) Strong convergence of the vorticity for the 2D Euler Equations in the inviscid limit. Preprints Fachbereich Mathematik, 2021 (12). Colombo, Maria and Crippa, Gianluca and Marconi, Elio and Spinolo, Laura V.. (2021) Local limit of nonlocal traffic models: convergence results and total variation blow-up. Preprints Fachbereich Mathematik, 2021 (09). Crippa, Gianluca and Ligabue, Silvia. (2021) A note on the Lagrangian flow associated to a partially regular vector field. Preprints Fachbereich Mathematik, 2021 (11). 2021Caravenna, Laura and Crippa, Gianluca. (2021) A directional Lipschitz extension lemma, with applications to uniqueness and Lagrangianity for the continuity equation. Communications Partial Differential Equations, 46 (8). pp. 1488-1520. Ciampa, Gennaro and Crippa, Gianluca and Spirito, Stefano. (2021) Strong convergence of the vorticity for the 2D Euler equations in the inviscid limit. Archive for Rational Mechanics and Analysis, 240. pp. 295-326. Colombo, Maria and Crippa, Gianluca and Graff, Marie and Spinolo, Laura Valentina. (2021) On the role of numerical viscosity in the study of the local limit of nonlocal conservation laws. ESAIM: Mathematical Modelling and Numerical Analysis, 55 (6). pp. 2705-2723. Colombo, Maria and Crippa, Gianluca and Marconi, Elio and Spinolo, Laura V.. (2021) 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). pp. 1653-1666. Schulze, Christian. Inviscid mixing by fluid flows. Optimal stirring with cellular and radial velocity fields. 2021, Doctoral Thesis, University of Basel, Faculty of Science. 2020Ciampa, Gennaro and Crippa, Gianluca and Spirito, Stefano. (2020) Smooth approximation is not a selection principle for the transport equations with rough vector field. Calculus of Variations and Partial Differential Equations , 59. p. 13. Ciampa, Gennaro and Crippa, Gianluca and Spirito, Stefano. (2020) Weak Solutions Obtained by the Vortex Method for the 2D Euler Equations are Lagrangian and Conserve the Energy. Journal of Nonlinear Science, 30 (6). pp. 2787-2820. Crippa, Gianluca and Ligabue, Silvia. (2020) A Note on the Lagrangian Flow Associated to a Partially Regular Vector Field. Differential Equations and Dynamical Systems. pp. 1-20. Ligabue, Silvia. Anisotropic vector fields: quantitative estimates and applications to the Vlasov-Poisson equation. 2020, Doctoral Thesis, University of Basel, Faculty of Science. 23 May 2019Ciampa, Gennaro and Crippa, Gianluca and Spirito, Stefano. (2019) Weak solutions obtained by the vortex method for the 2D Euler equations are Lagrangian and conserve the energy. Preprints Fachbereich Mathematik , 2019 (08). February 2019Ciampa, Gennaro and Crippa, Gianluca and Spirito, Stefano. (2019) On smooth approximations of rough vector fields and the selection of flows. Preprints Fachbereich Mathematik, 2019 (04). Ciampa, Gennaro and Crippa, Gianluca and Spirito, Stefano. (2019) Smooth approximation is not a selection principle for the transport equation with rough vector field. Preprints Fachbereich Mathematik, 2019 (07). Colombo, Maria and Crippa, Gianluca and Graff, Marie and Spinolo, Laura Valentina. (2019) On the role of numerical viscosity in the study of the local limit of nonlocal conservation laws. Preprints Fachbereich Mathematik, 2019 (06). Colombo, Maria and Crippa, Gianluca and Graff, Marie and Spinolo, Laura Valentina. (2019) Recent results on the singular local limit for nonlocal conservation laws. Preprints Fachbereich Mathematik, 2019 (05). 2019Alberti, Giovanni and Crippa, Gianluca and Mazzucato, Anna L.. (2019) Exponential self-similar mixing by incompressible flows. Journal of the American Mathematical Society, 32 (2). pp. 445-490. Alberti, Giovanni and Crippa, Gianluca and Mazzucato, Anna L.. (2019) Loss of regularity for the continuity equation with non-Lipschitz velocity field. Annals of PDE, 5 (1). p. 9. Colombo, Maria and Crippa, Gianluca and Spinolo, Laura Valentina. (2019) On the singular local limit for conservation laws with nonlocal fluxes. Archive for Rational Mechanics and Analysis, 233 (3). pp. 1131-1167. Crippa, Gianluca and Lucà, Renato and Schulze, Christian. (2019) Polynomial mixing under a certain stationary Euler flow. Physica D: Nonlinear Phenomena, 394. pp. 44-55. 2018Crippa, Gianluca and Ligabue, Silvia and Saffirio, Chiara. (2018) Lagrangian solutions to the Vlasov-Poissosystem with a point charge. Kinetic and related models, 11 (6). pp. 1277-1299. Ghiraldin, Francesco and Lamy, Xavier. (2018) Optimal Besov differentiability for entropy solutions of the eikonal equation. Preprints Fachbereich Mathematik, 2018 (02). Lamy, Xavier and Ghiraldin, Francesco. (2018) Optimal besov differentiability for entropy solutions of the eikonal equation. Communications in Pure and Applied Mathematics. n/a. 2017Crippa, Gianluca and Mazzucato, Anna, eds. (2017) Transport, Fluids, and Mixing. Partial differential equations and measure theory. Berlin. Bianchini, Stefano and Colombo, Maria and Crippa, Gianluca and Spinolo, Laura Valentina. (2017) Optimality of integrability estimates for advection-diffusion equations. Nonlinear Differential Equations and Applications, 24 (33). p. 19. Choudhury, Anupam and Crippa, Gianluca and Spinolo, Laura Valentina. (2017) Initial-boundary value problems for nearly incompressible vector fields, and applications to the Keyfitz and Kranzer system. Zeitschrift für Angewandte Mathematik und Physik, 68 (138). p. 19. Crippa, Gianluca and Gusev, Nikolay and Spirito, Stefano and Wiedemann, Emil. (2017) Failure of the chain rule for the divergence of bounded vector fields. Annali della Scuola Normale di Pisa - Classe di Scienze, 17 (1). pp. 1-18. Crippa, Gianluca and Nobili, Camilla and Seis, Christian and Spirito, Stefano. (2017) Eulerian and Lagrangian Solutions to the Continuity and Euler Equations with L 1 Vorticity. SIAM Journal on Mathematical Analysis, 49 (5). pp. 3973-3998. Crippa, Gianluca and Schulze, Christian. (2017) Cellular mixing with bounded palenstrophy. Mathematical Models and Methods in Applied Sciences, 27 (12). pp. 2297-2320. May 2016Crippa, Gianluca and Lopes Filho, Milton and Miot, Evelyne and Nussenzveig Lopes, Helena. (2016) Flows of vector fields with point singularities and the vortex-wave system. Discrete and continuous dynamical systems, 36 (5). pp. 2405-2417. 2016Bohun, Anna and Bouchut, François and Crippa, Gianluca. (2016) Lagrangian flows for vector fields with anisotropic regularity. Annales de l'Institut Henri Poincaré (C) Analyse non linéaire, 33 (6). pp. 1409-1429. Bohun, Anna and Bouchut, François and Crippa, Gianluca. (2016) Lagrangian solutions to the 2D Euler system with L1 vorticity and infinite energy. Nonlinear Analysis: Theory, Methods & Applications, 132. pp. 160-172. Bohun, Anna and Bouchut, François and Crippa, Gianluca. (2016) Lagrangian solutions to the Vlasov–Poisson system with L1 density. Journal of differential equations, 260 (4). pp. 3576-3597. Caravenna, Laura and Crippa, Gianluca. (2016) Uniqueness and Lagrangianity for solutions with lack of integrability of the continuity equation. Comptes rendus mathematique, 354 (12). pp. 1168-1173. Colombo, Maria and Crippa, Gianluca and Stefano, Spirito. (2016) Logarithmic estimates for continuity equations. Networks and Heterogeneous Media, 11 (2). pp. 301-311. Heck, Horst and Pal Choudhury, Anupam. (2016) Stability of the inverse boundary value problem for the biharmonic operator: Logarithmic estimates. Preprints Fachbereich Mathematik, 2016 (05). Nobili, Camilla and Otto, Felix. (2016) Limitations of the background field method applied to Rayleigh-Bénard convection. Preprints Fachbereich Mathematik, 2016 (29). 2015Bohun, Anna. Flows of singular vector fields and applications to fluid and kinetic equations. 2015, Doctoral Thesis, University of Basel, Faculty of Science. Colombo, Maria and Crippa, Gianluca and Spirito, Stefano. (2015) Renormalized solutions to the continuity equation with an integrable damping term. Calculus of variations and partial differential equations, 54 (2). pp. 1831-1845. Crippa, Gianluca and Gusev, Nikolay and Spirito, Stefano and Wiedemann, Emil. (2015) Non-uniqueness and prescribed energy for the continuity equation. Communications in mathematical sciences, 13 (7). pp. 1937-1947. Crippa, Gianluca and Semenova, Elizaveta and Spirito, Stefano. (2015) Strong continuity for the 2D Euler equations. Kinetic and related models, 8 (4). pp. 685-689. Crippa, Gianluca and Spirito, Stefano. (2015) Renormalized solutions of the 2D Euler equations. Communications in mathematical physics, 339 (1). pp. 191-198. 2014Alberti, Giovanni and Bianchini, Stefano and Crippa, Gianluca. (2014) A uniqueness result for the continuity equation in two dimensions. Journal of the European Mathematical Society, Vol. 16, H. 2. pp. 201-234. Alberti, Giovanni and Bianchini, Stefano and Crippa, Gianluca. (2014) On the Lp-differentiability of certain classes of functions. Revista matemática Iberoamericana, Vol. 30, no. 1. pp. 349-367. Alberti, Giovanni and Crippa, Gianluca and Mazzucato, Anna L.. (2014) Exponential self-similar mixing and loss of regularity for continuity equations. Comptes rendus mathematique, Vol. 352, no. 11. pp. 901-906. Ambrosio, Luigi and Crippa, Gianluca. (2014) Continuity equations and ODE flows with non-smooth velocity. Proceedings of the Royal Society of Edinburgh. Section A, Mathematics, Vol. 144, H. 6. pp. 1191-1244. Crippa, Gianluca. (2014) Ordinary differential equations and singular integrals. In: Hyperbolic problems: theory, numerics, applications, 8. pp. 109-117. Crippa, Gianluca and Donadello, Carlotta and Spinolo, Laura Valentina. (2014) A note on the initial-boundary value problem for continuity equations with rough coefficients. In: Hyperbolic problems: theory, numerics, applications, 8. pp. 957-966. Crippa, Gianluca and Donadello, Carlotta and Spinolo, Laura Valentina. (2014) Initial-boundary value problems for continuity equations with BV coefficients. Journal de mathématiques pures et appliquées, Vol. 102, No. 1. pp. 79-98. 2013Alberti, Giovanni and Bianchini, Stefano and Crippa, Gianluca. (2013) Structure of level sets and Sard-type properties of Lipschitz maps. Annali della Scuola Normale di Pisa - Classe di Scienze, 12 (4). pp. 863-902. Bouchut, Francois and Crippa, Gianluca. (2013) Lagrangian flows for vector fields with gradient given by a singular integral. Journal of hyperbolic differential equations, Vol. 10, H. 2. pp. 235-282. Crippa, Gianluca and Lecureux-Mercier, Magali. (2013) Existence and uniqueness of measure solutions for a system of continuity equations with non-local flow. NoDEA: nonlinear differential equations and applications, Vol. 20, H. 3. pp. 523-537. 2012Acerbi, Emilio and Crippa, Gianluca and Mucci, Domenico. (2012) A variational problem for multifunctions with interaction between leaves. ESAIM: Control, Optimisation and Calculus of Variations, 18 (4). pp. 1178-1206. 2011Crippa, Gianluca. (2011) Lagrangian flows and the one-dimensional Peano phenomenon for ODEs. Journal of Differential Equations, 250 (7). pp. 3135-3149. 2009Ambrosio, Luigi and Crippa, Gianluca and Figalli, Alessio and Spinolo, Laura V.. (2009) Some new well-posedness results for continuity and transport equations, and applications to the chromatography system. SIAM Journal on Mathematical Analysis, 41 (5). pp. 1890-1920. Crippa, Gianluca. (2009) The flow associated to weakly differentiable vector fields. Theses / Scuola Normale Superiore di Pisa, 12. Pisa. Crippa, Gianluca and Jimenez, Chloé and Pratelli, Aldo. (2009) Optimum and equilibrium in a transport problem with queue penalization effect. Advances in Calculus of Variations, 2 (3). pp. 207-246. 2008Ambrosio, Luigi and Crippa, Gianluca and LeFloch, Philippe G.. (2008) Leaf superposition property for integer rectifiable currents. Networks and Heterogeneous Media, 3 (1). pp. 85-95. Crippa, Gianluca and De Lellis, Camillo. (2008) Estimates and regularity results for the DiPerna-Lions flow. Journal für die reine und angewandte Mathematik, 2008 (616). pp. 15-46. 2006Bouchut, François and Crippa, Gianluca. (2006) Uniqueness, renormalization, and smooth approximations for linear transport equations. SIAM Journal on Mathematical Analysis, 38 (4). pp. 1316-1328. Colombini, Ferruccio and Crippa, Gianluca and Rauch, Jeffrey. (2006) A note on two-dimensional transport with bounded divergence. Communications Partial Differential Equations, 31 (7-9). pp. 1109-1115. Crippa, Gianluca and De Lellis, Camillo. (2006) Oscillatory solutions to transport equations. Indiana University Mathematics Journal , 55 (1). pp. 1-13. 2005Ambrosio, Luigi and Crippa, Gianluca and Maniglia, Stefania. (2005) Traces and fine properties of a BD class of vector fields and applications. Annales de la Faculté des Sciences de Toulouse. Mathématiques, 14 (4). pp. 527-561. |