
Auxiliary Professor at the
Mathematics
Department of the Faculty
of Science of the University
of Lisbon.
Member of the Mathematical Physics Group
of the University of Lisbon.
Scientific interests
- Problems of Functional Analysis and Probability Theory arising
in Mathematical Physics
- Partial Differencial Equations
Papers
- "On the relation between the rates of relaxation and
convergence of Wild sums for solutions of the Kac equation",
with E. Carlen and E. Gabetta, to appear in Jour. Func. Analysis 2004
(available online 5 November 2004).
- "Spectral gap for the Kac model and related
stochastic evolutions", with E. A. Carlen and M.
Loss, Acta Mathematica 191, no.1 (2003), 1-54.
- "Free energy minimizers for a two-species model with
segregation and liquid-vapour transition", with E. Carlen,
R. Esposito, J. Lebowitz and R. Marra,
Nonlinearity 16, no.3 (2003), 1075--1105.
- "Central limit theorem for Maxwellian molecules and
truncation of the Wild sum", with E. A. Carlen and E. Gabetta,
Comm. in Pure and Appl. Math. 53 (2000), 370-397
- "Algebraic rate of decay for the excess free energy
and stability of fronts for a non-local phase kinetics equation with a
conservation law II",
with E. A. Carlen and E. Orlandi,
Comm. Partial Differential Equations 25 (2000),
370-397.
- "Algebraic rate of decay for the excess free energy
and stability of fronts for a non-local phase kinetics equation with a
conservation law I",
with E. A. Carlen and E. Orlandi,
Jour. Stat. Phys. 95 (1999), 1069-1117.
Educational links
Here are some other possible interesting sites for my students:
Scientific Links
Contact information
At the Interdisciplinary Complex
of the University of Lisbon:
Grupo de Física-Matemática da Universidade de Lisboa
Av. Prof. Gama Pinto, 2
P-1699 Lisboa Codex
Portugal
· Room: A2-12
· Tel: +351 21 790 4857 (internal: 4257)
· Fax: +351 21 795 4288
· Email:
mcarvalh@cii.fc.ul.pt
· URL: http://alf3.cii.fc.ul.pt/gfm/Members/CC.en.html
At the School of Mathematics of the Georgia Institute of Technology:
· Email:
mcarvalh@math.gatech.edu
English version
| Versão portuguesa (PT)
GFM
<gfm@alf1.cii.fc.ul.pt>,
JMCE
<jmce@artenumerica.com>
URL:
http://alf3.cii.fc.ul.pt/gfm/Members/CC.en.html
Last modified: Wed Feb 23 08:56:05 WET 2005