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Short Curriculum Vitae
Ricardo Parreira da Silva
Institution: University of Brasilia
Address: Department of Mathematics
Postal Code: 70910-900 - Brasilia - DF - Brazil
Phone: +55(61)3107-6485
E-mail adress: rpsilva@unb.br
home page: http://rpsilvas.mat.unb.br
Current position: Associate Professor
Personal Information
Date of birth: July 12th, 1980
Citizenship: Brazilian
Education
Nov/2011-Apr/2012 Post-Doc University of Warwick, England
Advisor: Dr. James Cooper Robinson
Jan/2008-Dez/2008 Post-Doc Universidad Complutense de Madrid (UCM), Spain
Advisor: Dr. José Maria Arrieta Algarra
Mar/2004-Nov/2007 PhD. in Mathematics: Universidade de São Paulo (USP), Brazil
Advisors: Dr. Alexandre Nolasco de Carvalho (USP)
Dr. José Maria Arrieta Algarra (UCM)
Thesis: Lower semicontinuity of attractors for parabolic pro-
blems in thin domains (in portuguese)
Mar/2002-Feb/2004 M. Sc. in Mathematics: Universidade de São Paulo (USP), Brazil
Advisor: Dr. Alexandre Nolasco de Carvalho (USP)
Master Thesis: Semilinear parabolic problems with critical ex-
poent in interpolation scales (in portuguese)
Mar/1998-Dez/2001 B. Sc. in Mathematics: Universidade Estadual Paulista (UNESP), Brazil
Professional Experience
Sep/2015 - Associate Professor at University of Brasilia (Unb), Brazil
Apr/2015 - Mar/2016 Visiting Researcher at Institute of Pure and Applied Mathematics
(IMPA), Rio de Janeiro, Brazil
Aug/2009 - Sep/2015 Associate Professor at Sao Paulo State University (UNESP), Brazil
Feb/2009 - Jul/2009 Lecturer at Federal University of São Carlos (UFSCar), Brazil
Domain of Research
Nonlinear Analysis/Functional Analysis/Partial Differential Equations
Publications (refereed journals)
1. Bonotto, E.M., Mesquita, J .G., Silva, R.P., Global mild solutions for the nonau-
tonomous 2D Navier-Stokes equations with impulse effects, submitted to
publication, (2015)
2. Silva, R.P. Global attractors for parabolic equations governed by the p-
laplacian on unbounded thin domains, Monatshefte fur Mathematik, accepted
to publication (2016)
3. Silva, R.P. Upper semicontinuity of global attractors for parabolic equations
governed by the p-laplacian on unbounded thin domains, Sao Paulo Journal
of Mathematical Sciences, v. 9, (2), p. 251-262, (2015)
4. Pereira, M.C., Silva, R.P., Remarks on the p-laplacian on thin domains, Progress
in Nonlinear Differential Equations and their Applications - A Tribute to Djairo
Guedes de Figueiredo on the occasion of his 80th Birthday, v.86, 389-403, (2015)
5. Pereira, M.C., Silva, R.P., Correctors for the Neumann problem in thin do-
mains with locally periodic oscillatory structure, Quarterly of Applied Mathe-
matics, LXXIII, (3), 537–552, (2015)
6. Silva, R. P., A note on resolvent convergence on a thin domain, Bulletin of the
Australian Mathematical Society, 89, (01), 141–148, (2014)
7. Pereira, J. V, Silva, R. P., Reaction-diffusion equations in a noncylindrical thin
domain, Boundary Value Problems, vol. 2013, 248, (2013)
8. Silva, R. P., Behavior of the p-laplacian on thin domains, International Journal
of Differential Equations, vol. 2013, 210270, (2013)
9. Nascimento, V. M., Silva, R. P., What can we expect of the heat in a thin
plate? (in portuguese), Matemática Universitária, v. 50/51, 72–75, (2013)
10. Capelato, E., Schiabel-Silva, K., Silva R. P., Perturbation of a nonautonomous
problem in Rn, Mathematical Methods in the Applied Sciences, 36, 1625–1630,
(2013)
11. Pereira, M.C., Silva, R.P., Error estimates for a Neumann problem in highly
oscillating thin domains, Discrete and Continuous Dynamical System - Series A,
33, (2), 803–817, (2013)
12. Robinson, J.C., Sadowski, W., Silva, R. P., Lower bound on blow up solutions
of the three-dimensional Navier-Stokes equations in homogeneous Sobolev
spaces, Journal of Mathematical Physics, 53, 115618, (2012)
13. Silva, R. P., Lower semicontinuity of pullback attractors for a singularly
nonautonomous plate equation. Electronic Journal of Differential Equations, vol
2012, (185), 1–8, (2012)
14. Carbone, V.L., Nascimento, M.J.D., Schiabel-Silva, K., Silva R. P., Pullback at-
tractors for a singularly nonautonomous plate equation. Electronic Journal
of Differential Equations, vol 2011, (77), 1–13, (2011)
15. Arrieta, J.M., Carvalho, A.N., Pereira, M.C., Silva, R.P., Semilinear parabolic
problems in thin domains with a highly oscillatory boundary. Nonlinear
Analysis: Theory, Methods and Applications, 74, (15), 5111–5132, (2011)
(refereed proceedings)
1. Pereira, J.V., Silva, R.P. Parabolic equations in a singularly time dependent
domain, Proceeding Series of the Brazilian Society of Computational and Applied
Mathematics, v.1 (2013) 01–04
2. Pereira, M.C., Silva, R.P. Rates of convergence for a homogenization prob-
lem in highly oscillating thin domains, Proceedings of Dynamic Systems and
Applications v.6 (2012) 337–340
Referee Work
Applicable Analysis, Applied Mathematics and Computation, Boundary Value Problems,
British Journal of Mathematics & Computer Science, Differential Equations and Dynam-
ical Systems, International Journal of Differential Equations, Journal of Inequalities and
Applications, Journal of Mathematical Physics, Mathematical Methods in the Applied Sci-
ences, Mathematical Reviews, Nonlinear Analysis: TMA, Revista Brasileira de Biometria,
Sao Paulo Journal of Mathematical Sciences, Zeitschrift fuer Angewandte Mathematik und
Physik, Zentralblatt Math
Participation on Research Projects - Grants
2014-2017 CNPq n0 440371/2014-7 - Asymptotic properties of semilinear problems and
perturbations and applications - Coordinator: Dr. Ricardo P. Silva
2014-2016 FAPESP n0 2014/16165-1 - Asymptotic properties of semilinear problems: Sin-
gular perturbations and applications - Coordinator: Dr. Ricardo P. Silva
2013-2014 PROPe–UNESP n0 0019/008/13–PROPe - Convergence of global attractors for
dissipative problems - Coordinator: Dr. Ricardo P. Silva
2013-2013 FUNDUNESP n0 0135812 - Rates of convergence for global attractors - Coor-
dinator: Dr. Ricardo P. Silva
2012-2014 FAPESP n0 2012/06753-8 - Continuity of global attractors: correctors and rates
of convergence - Coordinator: Dr. Ricardo P. Silva
2011-2013 FAPESP n0 2011/04166-5 - Continuity of attractors for parabolic problems -
Coordinator: Dr. Marcelo J. D. Nascimento
2011-2012 PROPe–UNESP - Asymptotic properties of singularly semilinear problems and
applications - Coordinator: Dr. Ricardo P. Silva
2008-2012 FAPESP n0 2008/53094-4 - Nonlinear dynamical systems in infinite dimensional
spaces - Coordinator: Dr. Alexandre N. Carvalho
Participation on Science Academies
2011 - American Mathematical Society
2010 - Brazilian Mathematical Society
Scholarships and Awards
• UNESP/PROPG - Brazil - Post-Doc (Nov/2011 - Apr/2012)
• CAPES - Brazil - Post-Doc (Jan/2008 - Dec/2008)
• FAPESP - Brazil - Ph.D. in Mathematics (Mar/2004 - Oct/2007)
CAPES - Brazil - (Sandwish Fellowship) (Mar/2006 - Feb/2007)
• FAPESP - Brazil - M.Sc. in Mathematics (Mar/2002 - Feb/2004)
• FAPESP - Brazil - Undergratuate initiation on research (Feb/2000 - Dec/2001)
CAPES/PET - Brazil (Feb/1999 - Jan/2000)
Selected Conference Talks
1. Jul/2016 - Behavior of the p-laplacian on thin domains. The 11th AIMS Con-
ference on Dynamical Systems, Differential Equations and Applications, Orlando -
USA
2. Apr/2013 Lower bound on blow up solutions of the three-dimensional Navier
Stokes equations in homogeneous Sobolev Spaces. UNICAMP, Campinas -
Brazil
3. Feb/2013 Semilinear reaction-diffusion equation in a thin non-cilyndrical
domain. ICMC Summer Meeting on Differential Equations - 2013 Chapter, São
Carlos - Brazil
4. Dec/2012 - Pullback attractors for a semilinear reaction-diffusion equation in
a thin non-cilyndrical domain. International Conference on the Theory, Methods
and Applications of Nonlinear Equations, Texas A&M University-Kingsville - USA
5. May/2011 - Rates of convergence for a homogenization problem in highly
oscillating thin domains. Sixth International Conferenceon Dynamic Systems and
Applications, Atlanta - USA
6. Feb/2011 Pullback attractors for a singularly nonautonomous plate equation.
ICMC Summer Meeting on Differential Equations - 2011 Chapter, São Carlos - Brazil
7. Nov/2010 - Pullback attractors for a nonautonomous plate equation with
critical nonlinearities. IV - ENAMA - National Meeting of Mathematical Analysis
and Applications, Belém - Brazil
8. Sep/2010 - Thin domains with highly oscillating boundaries. ESF Mathematics
Conference “Highly Oscillatory Problems: From Theory to Applications”, Cambridge
- UK.
9. Feb/2010 - Dynamic of parabolic equation in thin domains with oscillating
boundary. ICMC Summer Meeting on Differential Equations - 2010 Chapter, São
Carlos - Brazil
10. Nov/2009 - Upper semicontinuity of attractors for a parabolic problem on
a thin domain with highly oscillating. III ENAMA-National Meeting of Mathe-
matical Analysis and Applications, Maringá - Brazil.
11. Feb/2009 - Parabolic problems in thin domains. ICMC Summer Meeting on
Differential Equations - 2009 Chapter, São Carlos - Brazil.
Conference Organizer
1. 2016 IV Mini-Workshop on Infinite-Dimensional Dynamical Systems, UNB
- Brazil
2. 2013 III Mini-Workshop on Infinite-Dimensional Dynamical Systems, UN-
ESP - Brazil
3. 2011 II Mini-Workshop on Infinite-Dimensional Dynamical Systems, UNESP
- Brazil
4. 2009 Mini-Workshop on Infinite-Dimensional Dynamical Systems, UNESP -
Brazil
Invited Lectures
1. Jan/2015 - Feb/2015 - Short course: Complex Analysis II, UNB, Braśılia - Brazil
(in portuguese)
2. Jan/2014 - Feb/2014 - Short course: Functional Analysis I, UNICAMP, Campinas
- Brazil (in portuguese)
3. Jan/2013 - Feb/2013 - Short course: Real Analysis, UFES, Vitória - Brazil (in
portuguese)
4. Feb/2011 - Short course: Domain perturbations, homogenization and conti-
nuity of attractors for parabolic problems, ICMC/USP, São Carlos - Brazil (in
portuguese)
Short Visits - Academic Research
Fev/2016 - Fev/2016 - visit to Universidade Federal da Paráıba
Nov/2013 - Nov/2013 - visit to Universidad Complutense de Madrid
Nov/2012 - Dec/2012 - visit to University of Warwick
Jan/2011 - Feb/2011 - visit to Universidade de São Paulo (IME)
Dez/2005 - Feb/2006 - visit to Universidad Complutense de Madrid
Graduate Students
Mar/2015 - Phd: UNESP - “Homogenization of a class of quasilinear evolution equations
in singularly perturbed domains” (in portuguese)
student: Helóısa Lopes de Sousa
Mar/2014 - Mar/2016 M. Sc.: UNESP - “Pullback attractors for parabolic equations in
noncylindrical domains” (in portuguese)
student: Heraclio Ledgar López Lázaro
Mar/2012 - Aug/2016 (expected) Phd (co-advisor) : ICMC-USP - “Continuity of global
attractors: Correctors approach to obtain better rates of convergence”
(in portuguese)
student: Cesar Augusto Esteves das Neves Cardoso
Mar/2011 - Nov/2013 - M. Sc. (co-advisor) : UNESP - “Dynamical systems and ordi-
nary differential equations” (in portuguese)
student: Mariana Frassetto Malvezzi
Mar/2010 - Jan/2013 M. Sc. : UNESP - “Semigroups of linear operators and differential
equations in Banach spaces” (in portuguese)
student: Mariele de Freitas Osti
Mar/2010 - Oct/2012 M. Sc. : UNESP - “Semigroups of linear operators and applica-
tions” (in portuguese)
student: Simoni Renata e Silva Perez
Jan/2010 - Jun/2012 M. Sc. : UNESP - “Counter-examples in Analysis” (in portuguese)
student: Michel Ferracini