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Anomalous Dissipation for the forced Navier-Stokes equations. anomalous-dissipation-arXiv-version.pdf (325.73 KB). 0.
On the boundary behavior of mass-minimizing integral currents. To appear in Memoirs of the American Mathematical Society. borda_memoirs_3.pdf (1.24 MB). 0.
Endpoint regularity for 2d Mumford-Shah minimizers: On a theorem of Andersson and Mikayelyan. To appear in Journal de Mathe'matiques Pures et Applique'es. DeLellis-Focardi-Ghinassi_journal-amended-4.pdf (553.88 KB) Errata-crackip.pdf (136.56 KB). 0.
The Euler equations as a differential inclusion.. Ann. of Math. LasAnn.pdf (741.47 KB). 0.
Ill-posedness for bounded admissible solutions of the 2-dimensional p–system.. Hyp08_delellis.pdf (151.58 KB). 0.
John Nash's nonlinear iteration. contr_vol_Nash_11.pdf (419.73 KB). 0.
Onsager critical solutions of the forced Navier-Stokes equations. anomalous_dissipation6.pdf (490.38 KB). 0.
Smoothing does not give a selection principle for transport equations with bounded autonomous fields. To appear in Annales Math'ematiques du Que'bec. Selection-principle_final.pdf (319.86 KB). 0.
Surprising solutions to the isentropic Euler system of gas dynamics. DeLellis_hyp12_4.pdf (356.85 KB). 0.
Line energies for gradient vector fields in the plane. Calculus of Variations and Partial Differential Equations. 9:327–255. ADM.pdf (261.08 KB). 1999.
Interaction of fractures in tensile bars with non-local spatial dependence.. Journal of Elasticity. 65:1–31(2002). DR.pdf (235.27 KB). 2001.
An example in the gradient theory of phase transitions.. ESAIM: Control, Optimisation and Calculus of Variations. 7:285–289(electronic). COCV.pdf (117.75 KB). 2002.
Le Olimpiadi della Matematica. Seconda Edizione. Zanichelli.. 2002.
Some fine properties of currents and applications to distributional Jacobians.. Proceedings of the Royal Society of Edinburgh: Section A. 132:815–842. Edin_2002.pdf (321.76 KB) errata_Edin.pdf (97.75 KB). 2002.
Existence of solutions for a class of hyperbolic systems of conservation laws in several space dimensions.. International Mathematics Research Notices. :2205–2220. esistenza10.pdf (235.06 KB). 2003.