Found 27 results
Author Title [ Type(Asc)] Year
Filters: Author is Camillo De Lellis  [Clear All Filters]
Journal Article
De Lellis C, Szekelyhidi, Jr. L.  2022.  Weak stablity and closure in turbulence. Philos. Trans. Roy. Soc. A. 380PDF icon RSTA_CamilloLaszlo.pdf (373.92 KB)
De Lellis C, Nardulli S, Steinbruechel S.  2023.  Uniqueness of boundary tangent cones for $2$-dimensional area-minimizing currents. Nonlinear Anal. . 230PDF icon UniqTgConesBoundaryCSS1.pdf (326.56 KB)
De Lellis C, Giri V.  2022.  Smoothing does not give a selection principle for transport equations with bounded autonomous fields. Ann. Math. Que'.. 46PDF icon Selection-principle_final.pdf (319.86 KB)
Bressan A, De Lellis C.  2023.  A Remark on the Uniqueness of Solutions to Hyperbolic Conservation Laws. PDF icon hypremark-9.pdf (237.36 KB)
De Lellis C, Focardi M.  2023.  The regularity theory for the Mumford-Shah functional on the plane. PDF icon Libro-MS.pdf (1.4 MB)
De Lellis C.  2022.  The regularity theory for the area functional (in geometric measure theory). International Congress of Mathematicians. PDF icon ICM-De-Lellis-web-version-2.pdf (510.11 KB)
Brue' E, Colombo M, De Lellis C.  2021.  Positive solutions of transport equations and classical nonuniqueness of characteristic curves. Arch. Ration. Mech. Anal. . 240(2):1055-1090.PDF icon nonunique-flow-20.pdf (398.69 KB)
Brue' E, Colombo M, Crippa G, De Lellis C, Sorella M.  2023.  Onsager critical solutions of the forced Navier-Stokes equations. Comm. Pure Appl. Anal. . PDF icon anomalous_dissipation6.pdf (490.38 KB)
De Lellis C, Kwon H.  2022.  On Non-uniqueness of Hoelder continuous globally dissipative Euler flows. Anal. PDE. 15PDF icon nuqE21.pdf (525.33 KB)
De Lellis C, De Philippis G, Hirsch J.  2022.  Nonclassical minimizing surfaces with smooth boundary. J. Differential Geom.. 122PDF icon Infinite_Topology_23.pdf (333.68 KB)
De Lellis C.  2020.  The Nash-Kuiper Theorem and the Onsager conjecture. ICCM Not.. 8(1):17-26.PDF icon Bejing-5.pdf (353.58 KB)
Albritton D, Brue' E, Colombo M, De Lellis C, Giri V, Janisch M, Kwon H.  .  Instability and nonuniqueness for the 2d Euler equations in vorticity form, after M. Vishik. Annals of Mathematics Studies. 219PDF icon Euler-book-preprint-version-2023-03-28.pdf (945.41 KB)
De Lellis C, Minter P, Skorobogatova A.  2024.  Higher codimension area-minimizing currents mod(q): structure of singularities near (m−1)-invariant cones. PDF icon Mod-q-higher-decay.pdf (802.7 KB)
De Lellis C, Pakzad MReza.  0.  The geometry of $C^{1,\alpha}$ flat isometric immersions. PDF icon Holder-developable-arxiv.pdf (395.4 KB)
Brue' E, De Lellis C.  2023.  Geometric structure of Migdal's constrained vortex surfaces. Physics Reports. 1011PDF icon Appendix BrueDeLellis.pdf (218.36 KB)
De Lellis C, Skorobogatova A.  2023.  The fine structure of the singular set of area-minimizing integral currents II: rectifiability of flat singular points with singularity degree larger than $1$. PDF icon main.pdf (618.28 KB)
De Lellis C, Skorobogatova A.  2023.  The fine structure of the singular set of area-minimizing integral currents I: the singularity degree of flat singular points. PDF icon main.pdf (657.89 KB)
De Lellis C, Minter P, Skorobogatova A.  2023.  The fine structure of the singular set of area-minimizing integral currents III: Frequency 1 flat singular points and H^{m-2}-a.e uniqueness of tangent cones. PDF icon Singularity_degree_1-arXiv-04-2024.pdf (1.68 MB)
De Lellis C, Hirsch J, Marchese A, Spolaor L, Stuvard S.  2022.  Fine structure of the singular set of area minimizing hypersurfaces modulo $p$. PDF icon Even-p-Structure.pdf (547.96 KB)
De Lellis C, Hirsch J, Marchese A, Spolaor L, Stuvard S.  2023.  Excess decay for minimizing hypercurrents mod $2Q$. PDF icon Excess-decay.pdf (745.7 KB)
De Lellis C, Focardi M, Ghinassi S.  2021.  Endpoint regularity for 2d Mumford-Shah minimizers: On a theorem of Andersson and Mikayelyan. J. Math. Pures Appl. (9). 155PDF icon DeLellis-Focardi-Ghinassi_journal-amended-4.pdf (553.88 KB)PDF icon Errata-crackip.pdf (136.56 KB)
De Lellis C, Fleschler I.  2023.  An elementary rectifiability lemma and some applications. PDF icon Non-sigma-12.pdf (369.45 KB)
De Lellis C, Zhao Z.  2023.  Dirichlet energy-minimizers with analytic boundary. Indiana Univ. Math. J.. . 72PDF icon DeLellis_Zhao_arXiv4.pdf (343.47 KB)
De Lellis C, Hirsch J, Marchese A, Spolaor L, Stuvard S.  2021.  Area minimizing hypersurfaces modulo $p$: a geometric free-boundary problem. PDF icon Modp_odd_moduli.pdf (867.85 KB)
De Lellis C.  0.  An appendix to a paper by Klainerman and Szeftel. PDF icon Appendix-for-Jeremie-and-Sergiu.pdf (186.61 KB)