An Allard-type boundary regularity theorem for $2d$ minimizing currents at smooth curves with arbitrary multiplicity.
convex-boundary-1.pdf (972.75 KB)
.
2021. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
Anomalous Dissipation for the forced Navier-Stokes equations. Comm. Math. Phys.. 400
anomalous-dissipation-arXiv-version.pdf (325.73 KB)
.
2023. .
0. .
2021. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
.
2024.
Dirichlet energy-minimizers with analytic boundary. Indiana Univ. Math. J.. . 72
DeLellis_Zhao_arXiv4.pdf (343.47 KB)
.
2023. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
.
2023.
Endpoint regularity for 2d Mumford-Shah minimizers: On a theorem of Andersson and Mikayelyan. J. Math. Pures Appl. (9). 155
DeLellis-Focardi-Ghinassi_journal-amended-4.pdf (553.88 KB)
Errata-crackip.pdf (136.56 KB)
.
2021. .
2023. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
Fine structure of the singular set of area minimizing hypersurfaces modulo $p$.
Even-p-Structure.pdf (547.96 KB)
.
2022. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
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.
Singularity_degree_1-arXiv-04-2024.pdf (1.68 MB)
.
2023. .
2023. .
2023. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
Geometric structure of Migdal's constrained vortex surfaces. Physics Reports. 1011
Appendix BrueDeLellis.pdf (218.36 KB)
.
2023. .
0. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
.
2024.
Instability and nonuniqueness for the 2d Euler equations in vorticity form, after M. Vishik. Annals of Mathematics Studies. 219
Euler-book-preprint-version-2023-03-28.pdf (945.41 KB)
.
. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
The Nash-Kuiper Theorem and the Onsager conjecture. ICCM Not.. 8(1):17-26.
Bejing-5.pdf (353.58 KB)
.
2020. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
Nonclassical minimizing surfaces with smooth boundary. J. Differential Geom.. 122
Infinite_Topology_23.pdf (333.68 KB)
.
2022. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
On Non-uniqueness of Hoelder continuous globally dissipative Euler flows. Anal. PDE. 15
nuqE21.pdf (525.33 KB)
.
2022. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
Onsager critical solutions of the forced Navier-Stokes equations. Comm. Pure Appl. Anal. .
anomalous_dissipation6.pdf (490.38 KB)
.
2023. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
Positive solutions of transport equations and classical nonuniqueness of characteristic curves. Arch. Ration. Mech. Anal. . 240(2):1055-1090.
nonunique-flow-20.pdf (398.69 KB)
.
2021. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)
The regularity theory for the area functional (in geometric measure theory). International Congress of Mathematicians.
ICM-De-Lellis-web-version-2.pdf (510.11 KB)
.
2022. .
2023. .
2023. ![application/pdf PDF icon](/delellis/modules/file/icons/application-pdf.png)