Personal Data

Full name

Maria da Conceição Vieira de Carvalho

Publishing name

Maria C. Carvalho

Birthday

1956-07-24T00:00:00

Academic Degrees

DOUTORAMENTO(0)

Degree date

1990

Final grade

Distinção e Louvor

Degree granting institution

Universidade de Lisboa

School / College / Campus

Faculdade de Ciências

Thesis title

Statistical Physics of a gas with point interactions

Supervisor

L. Streit (University of Bielefeld)

Co-supervisor

R. Vilela Mendes (IST)

Scientific area

Mathematics

LICENCIATURA(0)

Degree date

1978

Final grade

17

Degree granting institution

Universidade de Lisboa

School / College / Campus

Faculdade de Ciências

Thesis title

Supervisor

Co-supervisor

Scientific area

Profissional activity

Period Position Institution
1990 - Prof. Auxiliar University of Lisbon - Math. Depart.

Area of scientific activity

Area of scientific activity

Analysis and Probabilty

Specialization domain

I work in both pure and applied problems in analysis and probability

Current main scientific area

As described above

Other scientific activities

Mathematical Physics

Experience as scientific advisor

-

Participations in R&D projects

From 1-1-1993 to 31-12-1997: Training and Mobility Research grant CHRX-CT93-0411 "Stochastic Modelling of large disordered systems".

From 1-4-1998 to 31-12-2001: Training and Mobility Research grant ERBMFRX-CT97
"Asymptotic Methods in Kinetic Theory".

From 1-1-2002 to 23-04-2007: Training and Mobility Research grant RTN2-2001-00319
"Hyperbolic and kinetic equations: Asymptotics, Numerics, Applications in Kinetic Theory".

POCI/MAT/6193/2004 from 23-04-2005 to 31-12-2007- Geometric Evolutions, Stochastic evolutions and related Problems in Statistical Mechanics (coordenador)

POCI/MAT/6193/2004 from 01-01-2007 to 23-04-2009- Geometric Evolutions, Stochastic evolutions and related Problems in Statistical Mechanics (coordenador)

PTDC/MAT/100983/2008 from 01-01-2010 to 31-07-2013 - Stochastic Evolutions, Dissipative Evolutions and Statistical Mechanics (coordenador) (82.000 euros)

PTDC/MAT-STA/1284/2012 - Scaling properties for chain polymers modeled by fractional Brownian motion paths. (Project FCT, June 11 2013 to June 11 2015, funding:48.000 euros).

Awards

Year Award Awarding entity

Publications

Artigos em revistas de circulação internacional com arbitragem científica

Teses

  • A rigorous treatment of the statistical physics of the Lorentz gas with point interactions

Artigos em revistas de circulação internacional com arbitragem científica

  • [1] A remark on the second virial coefficient in the Quantum Lorentz model, J. Phys. A: Math General, 21 (1988), pp.3739-3748 (with L. Streit)

    [2] Quantum Stochastic Optimization, Stochast. Proc. and Applications, 33 (1989), 233-244 (with B. Apolloni e D. De Falco)

    [3] A convergent virial expansion for the Quantum Lorentz gas with point interactions, J. Phys. A: Math General, 23 (1990), 949-962.

    [4] On the relation between two methods to treat Hamiltonians with point interactions, Integral Eq. and Operator Theo., 14 (1991), 342-358.

    [5] Strict entropy production bounds and stability of the rate of convergence to equilibrium for the Boltzmann equation, Jour. of Stat. Phys., 67 (1992), 432-485 (with E. A. Carlen).

    [6] Quantitative entropy production bounds for the Boltzmann equation,in Nonlinear
    kinetic theory and mathematical aspects of hyperbolic systems, Ser. Adv. Math. Appl. Sci., 9, World Sci. Publishing , River Edge, NJ (1992), 80--89 (with E. A. Carlen).

    [7] The Central limit theorem, entropy production and stabilityof the rate of convergence to equilibrium for the Boltzmann equation,in Probabilistic Methods in Mathematical Physics, World Scientific (1993), 140-154 (with E. A. Carlen).

    [8] Entropy production estimates for Boltzmann equations with physically realistic collision kernels, Jour. Stat. Phys., 74 (1994), 743-782 (with E. A. Carlen).

    [9] Entropic convergence for solutions of the Boltzmann equation with general physical initial data, Trans. Theo. and Stat. Phys., 26 (1997), 373-378 (with E. A. Carlen e B. Wennberg).

    [10] Free Energy inequalities and the rate of relaxation to instantons for interface profiles in Glauber dynamics, Nonlinear Diff. Eq. and Appl., 5 (1998), 205-218 (with E. A. Carlen and E. Orlandi).

    [11] 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, Jour. Stat. Phys., 95 (1999), 1069-1117 (with E. A. Carlen and E. Orlandi).

    [12] 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, Comm. Partial Differential Equations, 25 (2000), 370--397 (with E. A. Carlen and E. Orlandi).

    [13] Many-body aspects of approach to equilibrium, Journées Equations aux Derivées Partielles (La Chapelle sur Erdre, 2000), Exp. No.XXI, 12 pp., Univ. Nantes, Nantes, (2000) (with E. A. Carlen and M. Loss).

    [14] Central Limit Theorem for Maxwellian molecules and Truncation of the Wild sum, Comm. in Pure and Appl. Math., 53 (2000), 370-397 (with E. A. Carlen and E. Gabetta).

    [15] A simple proof of stability for the Cahn--Hilliard equation,Commun. Math. Phys. 224 (2001), 323--340 (with E. A. Carlen and E. Orlandi).

    [16] Free energy minimizers for a two-species model with segregation and liquid-vapour transition, Nonlinearity 16 (2003), (with E. A. Carlen. R. Esposito, J. Lebowitz and R. Marra).

    [17] Probabilistic Methods in Kinetic Theory, Riv. Mat. Univ. Parma, {\bf 2} (2003), 101 -- 149 ,
    (with E. A. Carlen).

    [18] Determination of the spectral gap for Kac's master equation and related stochastic, Acta Mathematica {\bf 191} (2003), 1--54, (with E. A. Carlen and M. Loss).

    [19] Mass Transportation Methods in Kinetic Theory and Hydrodynamics. Papers related to the Summer School on Mass Transportation Methods in Kinetic Theory and
    Hydrodynamics, Ponta Delgada, Azores, September 4-8, 2000. Edited by J. F. Rodrigues Contemporary Mathematics, American Mathematical Society, (2004).

    [20] On the relation between the rates of relaxation and convergence of Wild sums for solutions of the Kac equation, Jour. Funct. Analysis, 220 (2005) (with E. A. Carlen and E. Gabetta)

    [21] Aproximate solutions to the Cahn-Hilliard equation via corrections to the Mullins-Sekerka motion, Arch. Rat. Mech, 178 (2005) (with E. A. Carlen. and E. Orlandi).

    [22] Phase transitions in equilibrium systems: microscopic models and mesoscopic
    free energies, Jour. Molecular Physics, 103 (2005), 3141 --3151, (with E. A. Carlen, R. Esposito, J. Lebowitz and R. Marra).

    [23] Dropplet minimizers for the Cahn--Hilliard free energy functional, Journal of Geometric Analysis, 16 (2006), 233 -- 264 (with E. A. Carlen, R. Esposito, J. Lebowitz and R. Marra).

    [24]Displacement Convexity and Minimal Fronts at Phase Boundaries, Arch. for Ratio. Mech. (published on line 2008), 194 (2009) 775-822 (with E. A. Carlen, R. Esposito, J. Lebowitz and R. Marra).

    [25] On strong convergence to equilibrium for the Boltzmann equation with soft potentials, J. Stat. Phys. 135 (2009) (with E. A. Carlen and Lu, X.G.)

    [26] Strong convergence towards homogeneous cooling states for dissipative Maxwell models. Accepted for publication in Ann. Inst. H. Poincare, Nonlinear Analysis, 26 (2009) (with E. A. Carlen and J. A. Carrillo)

    [27] Droplet minimizers for the Gates-Lebowitz-Penrose free energy functional, Nonlinearity 22 (2009), no. 12, 2919--2952, (with E. A. Carlen, R. Esposito, J. Lebowitz and R. Marra).

    [28] Entropy and Chaos in the Kac model, Kinet. Relat. Models 3 (2010) n01, 85-122, (with E. A. Carlen, J. Le Roux, J., Michael Loss, and Cedric Villani).

    [29] Kinetic theory and the Kac master equation. Entropy and the quantum II, 1–20, Contemp. Math., 552, Amer. Math. Soc., Providence, RI, 2011 (with E. A. Carlen and Michael Loss).

    [30] Spectral gap for the Kac model with hard sphere collisions, J. of Functional Analysis 266 (2014) 1787-1832 (with E. A. Carlen and M. Loss, )

    [31] A Boltzmann model for rod alignment and schooling fish, vol 28, n6 Nonlinearity (2015)
    (with E. A. Carlen, P. Degond and B. Wennberg)

    [32] Entropy production inequalities for the Kac Walk, to appear in Kinetic Theory and Related Models
    (with E. A. Carlen and A. Einav)

Communications

Comunicações orais por convite

[1] International conference in Mathematical Physics, Bielefeld, Germany, 12 ..17 July 1995.

[2] Annual Meeting of the American Mathematical Society, Orlando, Florida, U.S.A., 10 – 14 January 1996.

[3] International Conference on Differential Equations in Mathematical Physics, Atlanta, Georgia, U.S.A.,
23 – 29 March 1997.

[4] Analytical Techniques and Asymptotic methods for Kinetic problems at the Erwin Schrodinger Institute, Viena, Austria, 5 – 8 October 1998.

[5] Interfaces in continuous media, Lisboa, Portugal, de 1 – 4 March 1999.

[6] Third SeminaronStochasticAnalysis,RandomFieldsandapplications,Ascona,Switzer-
land, 19 – de September 1999.

[7] 2000 Siam Annual Meeting, 10 – 15 July 2000, Porto Rico, U.S.A.

[8] Advances in Mathematical Semiconductor Modeling, University of Pavia, Italy, 22 –
23 September 2000.

[9] International Symposium on Topics in Mathematical Physics, de 28 a 30 de Maio de 2001, CIMAT, Guanajuato, M ´exico. This conference was a satellite conference of the annual conference organized by the AMS (American Mathematical Society) and SMM (Mexican Mathematical Society). It took place in Morelia, M ´exico, 23 – 26 May 2001.

[10] Summer School on Methods and Models of Kinetic Theory, Porto Ercole, Italy, 3 – 8 June 2002.

[11] 18th International Conference in Transport Theory, Rio de Janeiro, Brasil 20 – 25 July, 2003.

[12] Recent Trends in Kinetic Theory and its Applications, Kiev, Ucrania, 11–15 May, 2004.

[13] SIAM Conference on Analysis of Partial Differential Equations, Houston, U.S.A., from 6 to 8 December, 2004.

[14] GroupedeTravailsurlaMechaniqueStatistique,queserealizounoInstitutdesHautes Etudes Scientifiques, Bures–sur–Yvette, Fran ¸ca, from 3 January to April 2005. I particpad during a period of approximately 2 months.

[15] Kinetic equations: Direct and Inverse Problems, Mantova, Italy, from 15 to 17 May, 2005.

[16] Low eigenvalues of Laplace and Schrodinger operators, American Institute of Mathe- matics, Palo Alto, California, U.S.A., 22 – 26 May 2006.

[17] Complex Quantum and Classical Systems and EffectiveEquations, Schrodinger Institute, from May to Agosto, 2006. I particpad for a period of one month, financed by the Schrodinger Institute.

[18] Nonlinear PDEs: Homogenization and Kinetic Equations, Vienna, Austria, 26 – 30 , June 2006.

[19] SIAM Conference on Analysis of Partial Differential Equations, Phoenix, U.S.A., December 10-12 2007.

[20] Droplet minimizers for a non-local free energy functional, Seminar at C.R.M., Centre de Recerca Matemtica, Universidade Autonoma de Barcelona, Departament of Mathemat- ics, May 2007.

[21] Aspects of Optimal Transport in Geometry and Calculus of Variations, IPAM, Insti- tute for Pure and Applied Mathematics, Los Angeles, U. S. A., 31 March to 4 of April 2008.

[22] Kinetic Equations: Direct and Inverse Problems, Mantova, Italy, March 15 to 18 2008.

[23] Non smooth Inference, Analysis and Dependence, Goteborg, Sweden,Junho 9 a 12, 2008. Mathematical Physics Seminar no Departamento de Matematica da Universidade La Sapienza, Roma, June 200

[24] Quantum and Kinetic Transport: Analysis, Computations, and New Applications, Workshop III: Flows and Networks in Complex Media, IPAM, Institute for Pure and Ap- plied Mathematics of UCLA, University of California at Los Angeles, from 27 of April to 1 of May 2009.

[25] Theory and Applications of Classical and Quantum Kinetic Theory, Banff Interna- tional Research Station, Banff, Canada, 21–27 de Junho 2009.

[26] Non Linear Difusions and Entropy Dissipation: From Geometry and Biology, Banff International Research Station, Banff , Canada, 9 - 14 May 2010.

[27] SIAM meeting Emerging Topics in Dynamical Systems and Partial Dfferential Equa- tions in the session Kinetic Theory and Related Topics, Barcelona, Spain, 31 May to 4 June, 2010.

[28] Modeling complex dynamics in biological systems, 7- 9 Junho, 2010, Universit ´e Paul Sabatier, Toulouse.

[29] Recent developments in Non Linear Analysis and Apllications, 28 June - 3 July 2010, Cotonou, Benin.

[30] Classical and Quantum Mechanical Models of Many-Particle Systems, 5 - 11 December 2010, Mathematisches Forschungsinstitut Oberwolfach, Germany.

[31] Kinetic Transport Reunion Conference II, Institute for Pure and Applied Mathemat- ics, Lake Arrowhead, University of California at Los Angeles, December 11–16 2011.

[32] Calculus of Variations, Continuum Mechanics and Geometric Inequalities, Ischia, Italy, 5–10 June 2011.

[33] Theory and Applications of Classical and Quantum Kinetic Theory, Banff Interna- tional Research Station, Banff, Canada, June 2011.

[34] Functional Inequalities and PDE in Life Sciences, Paris-Dauphine, Paris, 9–14 Jan- uary 2012

[35] Analysis Seminar of the Department of Mathematics of Tsinghua University, Beijing, China, March 2012.

[36] Analysis Seminar of Academy of Sciences of China, Beijing, China, March 2012.
Statistical Physics program in the Institut des Hautes Etudes, Bures-sur-Yvette, for two weeks
in February 2010.

[37] Kinetics Seminar at Chalmers Institute, Sweden, June 2012.

[38] International Conference on Particle Systems and PDE’s, CMAT, Universidade do
Minho, 5 - 7 de December 2012.

[39] Stochastic and Infinite Dimensional Analysis, ZIF Center for Interdisciplinary Re- search, Bielefeld June 24 - 28 2013

[40] International Conference on Particle Systems and PDE’s, CMAT, Universidade do Minho, December 2013.

[41] Mathematical Topics in Kinetic Theory, Newton Institute, Cambridge University, U.K., 17– 21 June 2013.

[42] Kinetic and Related Equations, organized by Banff International Research Station at Casa de Matematica, Oaxaca, Mexico, 5 to 10 July, 2015,.

[43] Infinite Dimensinal Analysis and Applications, Funchal, Madeira, Portugal, 27 to 31 July 2015,.

[44] Quantum Markov Semigroups in Analysis, Physics and Probability, organized by Banff International Research Station at Casa de Matematica, 23 to 28 August, 2015.

[45] Nonlocal Nonlinear Partial Differential Equations and Applications, 14 to 18 September, 2015, Anacapri, Italy.

[46] Mathematical Topics in Kinetic Theory, May 9-13 2016, Cambridge University, UK

[47] Workshop Interactions between Partial Differential Equations & Functional Inequalities 12 - 16 September 2016, Mittag-Leffler Institut, Djusholm, Sweden

In 2016 I participated for 2 weeks in the Spring in the program Nonlinear Flows in the Schrodinger Institut, Vienna and in the Fall in program Interactions between Partial Differential Equations & Functional Inequalities for 6 weeks.

I have also participated (by invitation only) in several Oberwolfach meetings and several one semester programs at IHES, Institute des Hautes Etudes Scientifiques, Bures-sur-Yvette, Paris.


In 2014 I was invited to give several invited lectures namely at Austin, Gothenburg, CIRM (Mrseille), Banff, etc but I could not participate due to medical reasons.


I have also co-organized the following conferences

[1] Conferˆencia Internacional de F ´isica–Matem ´atica e An ´alise Estoc ´astica, Instituto Superior T ´ecnico, Lisboa, 6 - 8 October 1998.

[2] Summer School on Mass Transportation Methods in Kinetic Theory and Hydrody- namics, Ponta Delgada, A ¸cores, 4-9 September 2000.

[3] Member of the local organizing committee of XIV International Congress on Math- ematical Physics, July 2003.

[4] Summer School Kinetics and statistical methods for complex particle systems , Com- plexo Interdisciplinar da universidade de Lisboa, 13 -17 Julyo 2009. It was a summer school of Colab Mathematics. (with F. Chalub (Univ Nova de Lisboa), I. Gamba (Univ of Texas at Austin), D. Gomes (IST), R. Pego (Carnegie- Mellon) and R Vilela Mendes (Univ Lisboa).
9

[5] Workshop Kinetics and statistical methods for complex particle systems , Complexo Interdisciplinar da universidade de Lisboa, July 20 to 24 2009. 13 a 17 de Julho 2009. It was a worksop of Colab Mathematics. (with F. Chalub (Univ Nova de Lisboa), I. Gamba (Univ of Texas at Austin), D. Gomes (IST), R. Pego (Carnegie- Mellon) and R Vilela Mendes (Univ Lisboa).

[6] Probabilistic methods in kinetic theory , Centre Internacional de Recherche em Mathematique CIRM , Marseille, May and July 2011. This conference was organized with E. Carlen (Rutgers), C. Mouhot (Cambridge) and N. Fournier (Paris Est). It was a program of two one week workshops and a final conference at CIRM.

[7] Particle Systems and PDE's III, University of Minho, Braga, December 17th to 19th 2014.
This conference was organized with A. J. Soares (University of Minho) and P. Go\c calves (University of Minho) and it was also a Co-Lab initiative UT Austin-Portugal.