Duvan A. Henao Manrique
Profesor Asistente Adjunto
Facultad de Matemáticas
Pontificia Universidad Católica de Chile
Email: dhenao@mat.puc.cl
Tel: +56 2 354 5971
Fax: +56 2 552 5916
Address: Av. Vicuña Mackenna 4860. Macul, Santiago, Chile
Research interests
Cavitation in solids, free discontinuity problems, fracture mechanics,
calculus of variations, nonlinear elasticity, partial differential equations
Articles
- 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]
Lecture notes
Graduate studies
- 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.
Short Vitae
Conference reports
- 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]
Some slides
Links
Last updated: 24/10/2011