Nicholas D. Alikakos

E-mail address:

Postal Address:
Department of Mathematics
University of Athens
GR-15784, Athens
Greece

Curriculum vitae


Winter 2009–10 classes & seminars

Applied Analysis and PDEs Seminar

EM.01 Μέθοδοι Εφαρμοσμένων Μαθηματικών Ι (συνδιδασκαλία με Ι. Στρατή)

EM.18 Εφαρμοσμένη Συναρτησιακή Ανάλυση (συνδιδασκαλία με Σ. Γιωτόπουλο)


Recent conferences

Modern Mathematical Methods in Science and Technology ’09 Poros, Greece, 3–5 September 2009

Mathematical Challenges Motivated by Multiphase Materials: Analytical, Stochastic and Discrete Aspects Anogia, Crete, Greece, 21–16 June 2009

Workshop on Stochastic and Deterministic Models, Athens, Greece, 21–22 November 2008

Panhellenic Conference in Mathematical Analysis, Athens, Greece, 15–17 May 2008


Recent publications

Some basic facts on the system ΔuWu(u) = 0
Preprint

Entire solutions to nonconvex variational elliptic systems in the presence of a finite symmetry group (with G. Fusco)
In Singularities in nonlinear evolution phenomena and applications, M. Novaga and G. Orlandi eds. Publications of the Scuola Normale Superiore, CRM Series, Birkhäuser, 2009

Entire solutions to equivariant elliptic systems with variational structure (with G. Fusco)
Preprint

On an elliptic system with symmetric potential possessing two global minima (with G. Fusco)
Preprint

Heteroclinic travelling waves of gradient diffusion systems (with N. Katzourakis)
To appear in Trans. Amer. Math. Soc.

On the connection problem for potentials with several global minima (with G. Fusco)
Indiana Univ. Math. J. 57 No. 4 (2008) pp. 1871–1906

Singular perturbation problems arising from the anisotropy of crystalline grain boundaries (with P. Fife, G. Fusco, and Ch. Sourdis)
J. Dyn. Diff. Equations 19 No. 4 (2007) pp. 935–949

Analysis of the heteroclinic connection in a singularly perturbed system arising from the study of crystalline grain boundaries (with P. Fife, G. Fusco, and Ch. Sourdis)
Interfaces Free Bound. 8 No. 2 (2006) pp. 159–183

Explicit stationary solutions in multiple well dynamics and non-uniqueness of interfacial energy densities (with S. Betelú and X. Chen)
Eur. J. Appl. Math. 17 No. 5 (2006) pp. 525–556

Analysis of a corner layer problem in anisotropic interfaces (with P. Bates, J. Cahn, P. Fife, G. Fusco, and G. Tanoglu)
Discrete Contin. Dyn. Syst., Ser. B 6 No. 2 (2006) pp. 237–255

Ostwald ripening in two dimensions—the rigorous derivation of the equations from the Mullins–Sekerka dynamics (with G. Fusco and G. Karali)
J. Diff. Equations 205 No. 1 (2004) pp. 1–49

Continuum limits of particles interacting via diffusion (with G. Fusco and G. Karali)
Abstr. Appl. Anal. 3 (2004) pp. 215–237

Motion of bubbles towards the boundary for the Cahn–Hilliard equation (with G. Fusco and G. Karali)
Eur. J. Appl. Math. 15 No. 1 (2004) pp. 103–124

The effect of the geometry of the particle distribution in Ostwald ripening (with G. Fusco and G. Karali)
Comm. Math. Phys. 238 No. 3 (2003) pp. 481–488

Ostwald ripening for dilute systems under quasistationary dynamics (with G. Fusco)
Comm. Math. Phys. 238 No. 3 (2003) pp. 429–479

The normalized mean curvature flow for a small bubble in a Riemannian manifold (with A. Freire)
J. Diff. Geom. 64 No. 2 (2003) pp. 247–303


Last modified on 24 September 2009