Duvan A. Henao Manrique

Email: dhenao@mat.puc.cl
Tel: +56 2 354 5971
Fax: +56 2 552 5916
Address: Av. Vicuña Mackenna 4860. Macul, Santiago, Chile

Cavitation in solids, free discontinuity problems, fracture mechanics, calculus of variations, nonlinear elasticity, partial differential equations

Energy estimates and cavity interaction for a critical-exponent cavitation model (with S. Serfaty), Comm. Pure Appl. Math. [arXiv]
An efficient numerical method for cavitation in nonlinear elasticity (with X. Xu), Math. Models Methods Appl. Sci. 21 (2011) 1733--1760 [World Scientific] [preprint]
Lusin's condition and the distributional determinant for Sobolev deformations with finite energy (with C. Mora-Corral), Adv. Calc. Var. [de Gruyter] [preprint]
Fracture surfaces and the regularity of inverses for BV deformations (with C. Mora-Corral), Arch. Ration. Mech. Anal. 201 (2011) 575--629 [SpringerLink] [preprint]
Invertibility and weak continuity of the determinant for the modelling of cavitation and fracture in nonlinear elasticity (with C. Mora-Corral), Arch. Ration. Mech. Anal. 197 (2010) 619--655 [SpringerLink] [preprint]
Cavitation, invertibility, and convergence of regularized minimizers in nonlinear elasticity, J. Elast. 94 (2009) 55--68 [SpringerLink] [preprint]
On the uniqueness of positive solutions of a quasilinear equation containing a weighted p-Laplacian, the superlinear case (with M. García-Huidobro), Commun. Contemp. Math. 10 (2008) 405-432 [World Scientific] [preprint]

On the uniqueness of positive radial solutions to $\Delta_p u + K(|x|)f(u)=0$, the superlinear case [pdf].
Master in Mathematics (with Marta García-Huidobro), Pontificia Universidad Católica de Chile, 2006.
Variational modelling of cavitation and fracture in nonlinear elasticity [ORA] [pdf].
D. Phil. in Mathematics (with John M. Ball), University of Oxford, 2009.

Instituto Alberto Merani (Bogotá, Colombia), 1999
Pontificia Universidad Católica de Chile
Université Pierre et Marie Curie, Laboratoire Jacques-Louis Lions, 2009-2001, Postdoctoral research with Sylvia Serfaty

Variational modelling of cavitation and fracture, in J.M. Ball, R.D. James and S. Müller (eds.), PDE and Materials, Oberwolfach reports 6 (2009), no. 3, 2349--2351. [EMS-PH]

Isoperimetric inequalities and cavity interactions (8/08/2011).
Cavitation and fracture in nonlinear elasticity (12/04/2010)
Invertibility and surface energies for cavitation in nonlinear elasticity (25/03/2010)
Numerical computation of cavitation in nonlinear elasticity (29/10/2009)
Variational modelling of cavitation and fracture in nonlinear elasticity (6/10/2009)
Cavitation, invertibility and convergence of regularized minimizers in nonlinear elasticity (7/01/2008)
Uniqueness of positive radial solutions of -\Delta_p u=K(r)f(u) for superlinear functions f (21/05/2007)