# Curriculum Vitae

## Distinctions

### Prizes

• "Academic Distinction" at the Instituto de Matemática, CCMN-UFRJ, 2009

• "Prize Antônio Luís Vianna 2000" for Professors with recent Graduate degree - UFRJ/FUJB, November 2000

• "Program Antônio Luís Vianna 1998" for Professors with recent Graduate degree - UFRJ/FUJB, October 1998

• "John Ewing Book Award 1996" - Indiana University (US$300 in books from Springer-Verlag) ### Fellowships • CNPq Research Fellowship, level 1D, 2003 to 2022 • CNPq Research Fellowship, level 2A, Aug/2001 to Jul/2003 • CNPq Research Fellowship, level 2B, Aug/1999 to Jul/2001 • CNPq Research Fellowship, level 2C, Aug/1997 to Jul/1999 ### Scholarships • PhD Scholarship from CNPq, Brasil, at the Indiana University, EUA, set/1992 a dez/1996 • MSc Scholarship from CNPq, Brasil, at UFRJ, set/1989 a fev/1992 • Undergraduate Scholarship from CNPq, Brasil, at UFRJ, mar/1988 a fev/1989 • Undergraduate Scholarship from CNPq, Brasil, at UFRJ, mar/1987 a nov/1987 ### Grants • Scientific Visit to IPAM/UCLA to participate, as a Senior Fellow in the Mathematics of Turbulence thematic program, from September 8 to December 12, 2014 • Research grant from CNPq as part of the research fellowship - From August 2003 to February 2022 (R$1,000.00 per month)

• Scientific visit to the Université de Paris-Sud, Orsay, France - French-Brasil Cooperation, CNRS-CNPq - March 18 to May 17, 2002

• Scientific visit to the Indiana University, IN, USA, and Texas A&M, TX, USA - Supported by the ISC-Indiana University, Texas A&M and CNPq - January 11 to March 11, 2001

• Prize "Antônio Luís Vianna 1998-2000" - from UFRJ/FUJB - November 2000 (R$15,000.00 grant) • Scientific visit to the Indiana University, Bloomington, IN, USA - Supported by ISC-Indiana University - August 30 to September 39, 2000 • Scientific visit to the Indiana University, Bloomington, IN, USA - Supported by the ISC-Indiana University - September 1, 1999 to April 28, 2000 • Program "Antônio Luís Vianna 1998-2000" - from FUJB/UFRJ - October 1998 (R$5,000.00 grant)

• Scientific visit to the Indiana University, Bloomington, IN, USA - Supported by the ISC-Indiana University and by FAPERJ, Rio de Janeiro - August 23 to 28, 1998

• Scientific visit to the CNLS, Los Alamos National Lab, Los Alamos, NM, EUA - Supported by CNLS and FAPERJ - August 10 to 22, 1998

• Scientific visit to the Université de Paris-Sud, Orsay, France - Supported by the ISC-Indiana University - February 2 to March 3, 1998

### Exams for University Positions

• First place in the exam for a position as Assistant Professor at the Department of Applied Mathematicas, UFRJ, August 1992.

• First place in the exam for a position as Substitute Professor at the Department of Applied Mathematicas, UFRJ, March 1992.

### Current

• Representative in the Committee of the Mathematics Graduate Program at UFRJ (Programa de Pós-Graduação em Matemática/IM-UFRJ) (2005 to 2012; 2016 to 2020; and 2022 on)

• Member of various examining committees for university admission, carreer progression, tenure, etc.

• Referee of research journals like Journal of Differential Equations, Discrete and Continuous Dynamical Systems, Indiana University Math Journal, SIAM Journal of Mathematical Analysis, SIAM Journal of Numerical Analysis, Journal of Mathematical Analysis and its Applications, Physica D, Nonlinear Analysis TMA, etc.

• Ad-hoc referee for the financial agencies CNPq, CAPES and FAPERJ

### Previous

• Associate Director for the Graduate Programs at the IM-UFRJ (November 2007 to February 2011)

• Member of the CAPES National Committee in the Area of Mathematics/Probability and Statistics (2011 to 2013)

• Member of the CAPES National Committee in the Area of Mathematics/Probability and Statistics (2008 to 2010)

• Representative at the University Committee for the Undergraduate Research Program (Comitê Institucional do PIBIC/UFRJ) (March 2004 to March 2011)

• Coordinator of the Graduate Programa in Applied Mathematics at the IM-UFRJ (2001 to 2007)

• Representative in the Graduate University Council Conselho de Ensino para Graduados (CEPG) at UFRJ (November 2003 to October 2005)

• Member of the Council for Evaluation and Follow-up of Graduate Programs (Câmara de Avaliação e Acompanhamento de Cursos) of the CEPG-UFRJ (November 2003 to October 2005)

• Member of various examining committees for university admission, carreer progression, tenure, etc.

## Events organized

1. Summer School IM-UFRJ 2007 (IM-UFRJ, Rio de Janeiro, early January to early March - Coordinator)

2. AMS-SBM Joint International Meeting (IMPA, Rio de Janeiro, June 4-7, 2008 - Member of the Local Organizing Committee)

3. II Workshop on Fluids and PDE (IM-UFRJ, Rio de Janeiro, August 13-15, 2008 - Coordinator)

4. 1st Franco-Brazilian Fluids Summer School (Unicamp, Campinas, January 13-22, 2010 - Member of the Scientific Committee)

5. III Workshop on Fluids and PDE (Unicamp, Campinas, June 27 to July 1, 2011 - Member of the Scientific Committee)

6. IV Escola Brasileira de Equações Diferenciais (João Pessoa, Paraíba, August 22-26, 2011 - Member of the Scientific Committee)

7. Mini-symposium MS0 Turbulence and Statistical Solutions in Incompressible Flows, 2011 SIAM Conference on Analysis of Partial Differential Equations (San Diego, California, November 14-17, 2011 - Member of the Organizing Committee of the Session)

8. Fluid Seminar at IM-UFRJ (IM-UFRJ, Rio de Janeiro, 2013/1 - Coordinator)

9. Session 'Fluid Mechanics: from Turbulence to Free Boundaries', The Mathematical Congress of the Americas 2013 (Guajanuato, México, August 5-9, 2013 - Member of the Organizing Committee of the Session)

10. Conference 5x05. Celebrating 25 years of the MSc program in Applied Mathematics of the IM-UFRJ (IM-UFRJ, Rio de Janeiro, April 2-4, 2014 - Member of the Local Organizing Committee)

11. IV Workshop on Fluids and PDE (IMPA, Rio de Janeiro, May 26-30, 2014 - Member of the Scientific Committee)

12. V Workshop on Fluids and PDE (IMECC/Unicamp, Campinas, September 20 to October 1, 2021 - Member of the Scientific Committee)

13. SciMLCon 2022 (Virtual Conference, March 23rd, 2022 - Member of the Organizing Committee)

## Outreach

• In May 16, 2018, I participated in the Pint of Science Brasil, which is the Brazilian version of the Pint of Science. This is a worldwide Festival in which Science is brought to the main public through discussions in selected bars and restaurants in the participating cities. The festival occurs once a year, always in May. My participation was together with Prof. Marcelo Viana (IMPA), on how Mathematics is behind the Science and Art of a good beer: "Dois chopes e senta que lá vem história: como a matemática está por trás da ciência e da arte da boa cerveja".

• I am also the author of the blog Cervejarte, on which I write about beer production, particularly from the homebrewing perspective. It is more a hobby than a Mathematics outreach activity, but some of the posts are more technical, with more involved mathematical details, and which are presented in a form accessible to a more general audience.

## Scientific publications

### Articles

1. Rosa, Ricardo M. S.; Temam, Roger M. Optimal minimax bounds for time and ensemble averages for the incompressible Navier-Stokes equations. Pure Appl. Funct. Anal. 7 (2022), no. 1, 327–355. (MR4396263)

2. Foias, Ciprian; Rosa, Ricardo M. S.; Temam, Roger M.; Properties of stationary statistical solutions of the three-dimensional Navier-Stokes equations, J. Dynam. Differential Equations, 31 (2019), no. 3, 1689–1741. (DOI:10.1007/s10884-018-9719-2)

3. Cipolatti, R. A.; Liu, I.-S.; Palermo, L. A.; Rincon, M. A.; Rosa, R. M. S.; On the existence, uniqueness and regularity of solutions of a viscoelastic Stokes problem modelling salt rocks, Appl. Math. Optim., 78 (2018), no. 2, 403–456. (DOI:10.1007/s00245-017-9411-7)

4. Cipolatti, R.; Liu, I.-S.; Palermo, L. A.; Rincon, M. A.; Rosa, R. M. S.; A boundary value problem arising from nonlinear viscoelasticity: Mathematical analysis and numerical simulations, Appl. Math. Comput., 335 (2018), 237–247. (DOI:10.1016/j.amc.2018.04.034)

5. Bronzi, A. C.; Mondaini, C. F.; Rosa, R. M. S.; Abstract framework for the theory of statistical solutions, J. Differential Equations, 260 (2016), no. 12, 8428–8484. (DOI:10.1016/j.jde.2016.02.027)

6. Foias, Ciprian; Rosa, Ricardo M. S.; Temam, Roger M.; Convergence of time averages of weak solutions of the three-dimensional Navier-Stokes equations, J. Stat. Phys., 160 (2015), no. 3, 519–531. (DOI:10.1007/s10955-015-1248-3)

7. Bronzi, Anne C.; Mondaini, Cecilia F.; Rosa, Ricardo M. S.; Trajectory statistical solutions for three-dimensional Navier-Stokes-like systems, SIAM J. Math. Anal., 46 (2014), no. 3, 1893–1921. (DOI:10.1137/130931631)

8. Bronzi, Anne; Rosa, Ricardo; On the convergence of statistical solutions of the 3D Navier-Stokes-$$α$$ model as $$α$$ vanishes, Discrete Contin. Dyn. Syst., 34 (2014), no. 1, 19–49. (DOI:10.3934/dcds.2014.34.19)

9. Foias, Ciprian; Rosa, Ricardo M. S.; Temam, Roger; Properties of time-dependent statistical solutions of the three-dimensional Navier-Stokes equations, Ann. Inst. Fourier (Grenoble), 63 (2013), no. 6, 2515–2573.

10. Foias, Ciprian; Rosa, Ricardo; Temam, Roger; Topological properties of the weak global attractor of the three-dimensional Navier-Stokes equations, Discrete Contin. Dyn. Syst., 27 (2010), no. 4, 1611–1631. (DOI:10.3934/dcds.2010.27.1611)

11. Balci, Nusret; Foias, Ciprian; Jolly, Michael S.; Rosa, Ricardo; On universal relations in 2-D turbulence, Discrete Contin. Dyn. Syst., 27 (2010), no. 4, 1327–1351. (DOI:10.3934/dcds.2010.27.1327)

12. Foias, Ciprian; Rosa, Ricardo M. S.; Temam, Roger; A note on statistical solutions of the three-dimensional Navier-Stokes equations: the stationary case, C. R. Math. Acad. Sci. Paris, 348 (2010), no. 5-6, 347–353. (DOI:10.1016/j.crma.2009.12.018)

13. Foias, Ciprian; Rosa, Ricardo M. S.; Temam, Roger; A note on statistical solutions of the three-dimensional Navier-Stokes equations: the time-dependent case, C. R. Math. Acad. Sci. Paris, 348 (2010), no. 3-4, 235–240. (DOI:10.1016/j.crma.2009.12.017)

14. Rosa, Ricardo M. S.; Theory and applications of statistical solutions of the Navier-Stokes equations, in Partial differential equations and fluid mechanics, pp. 228–257, Cambridge Univ. Press, Cambridge, 2009.

15. Ramos, F.; Rosa, R.; Temam, R.; Statistical estimates for channel flows driven by a pressure gradient, Phys. D, 237 (2008), no. 10-12, 1368–1387. (DOI:10.1016/j.physd.2008.03.013)

16. Dieci, L.; Jolly, M. S.; Rosa, R.; Van Vleck, E. S.; Error in approximation of Lyapunov exponents on inertial manifolds: the Kuramoto-Sivashinsky equation, Discrete Contin. Dyn. Syst. Ser. B, 9 (2008), no. 3-4, 555–580. (DOI:10.3934/dcdsb.2008.9.555)

17. Rosa, Ricardo M. S.; Asymptotic regularity conditions for the strong convergence towards weak limit sets and weak attractors of the 3D Navier-Stokes equations, J. Differential Equations, 229 (2006), no. 1, 257–269. (DOI:10.1016/j.jde.2006.03.004)

18. Foias, C.; Jolly, M. S.; Manley, O. P.; Rosa, R.; Temam, R.; Kolmogorov theory via finite-time averages, Phys. D, 212 (2005), no. 3-4, 245–270. (DOI:10.1016/j.physd.2005.10.002)

19. Jolly, M. S.; Rosa, R.; Computation of non-smooth local centre manifolds, IMA J. Numer. Anal., 25 (2005), no. 4, 698–725. (DOI:10.1093/imanum/dri013)

20. Cabral, M.; Rosa, R.; Chaos for a damped and forced KdV equation, Phys. D, 192 (2004), no. 3-4, 265–278. (DOI:10.1016/j.physd.2004.01.023)

21. Moise, Ioana; Rosa, Ricardo; Wang, Xiaoming; Attractors for noncompact nonautonomous systems via energy equations, Discrete Contin. Dyn. Syst., 10 (2004), no. 1-2, 473–496. (DOI:10.3934/dcds.2004.10.473)

22. Cabral, Marco; Rosa, Ricardo; Temam, Roger; Existence and dimension of the attractor for the Bénard problem on channel-like domains, Discrete Contin. Dyn. Syst., 10 (2004), no. 1-2, 89–116.

23. Rosa, Ricardo; Exact finite dimensional feedback control via inertial manifold theory with application to the Chafee-Infante equation, J. Dynam. Differential Equations, 15 (2003), no. 1, 61–86. (DOI:10.1023/A:1026153311546)

24. Foias, C.; Jolly, M. S.; Manley, O. P.; Rosa, R.; On the Landau-Lifschitz degrees of freedom in 2-D turbulence, J. Statist. Phys., 111 (2003), no. 3-4, 1017–1019. (DOI:10.1023/A:1022814702548)

25. Rosa, Ricardo M. S.; Some results on the Navier-Stokes equations in connection with the statistical theory of stationary turbulence, Appl. Math., 47 (2002), no. 6, 485–516. (DOI:10.1023/A:1023297721804)

26. Goubet, Olivier; Rosa, Ricardo M. S.; Asymptotic smoothing and the global attractor of a weakly damped KdV equation on the real line, J. Differential Equations, 185 (2002), no. 1, 25–53. (DOI:10.1006/jdeq.2001.4163)

27. Foias, C.; Jolly, M. S.; Manley, O. P.; Rosa, R.; Statistical estimates for the Navier-Stokes equations and the Kraichnan theory of 2-D fully developed turbulence, J. Statist. Phys., 108 (2002), no. 3-4, 591–645. (DOI:10.1023/A:1015782025005)

28. Foias, Ciprian; Manley, Oscar P.; Rosa, Ricardo M. S.; Temam, Roger; Estimates for the energy cascade in three-dimensional turbulent flows, C. R. Acad. Sci. Paris Sér. I Math., 333 (2001), no. 5, 499–504. (DOI:10.1016/S0764-4442(01)02008-0)

29. Foias, Ciprian; Manley, Oscar P.; Rosa, Ricardo M. S.; Temam, Roger; Cascade of energy in turbulent flows, C. R. Acad. Sci. Paris Sér. I Math., 332 (2001), no. 6, 509–514. (DOI:10.1016/S0764-4442(01)01831-6)

30. Jolly, M. S.; Rosa, R.; Temam, R.; Accurate computations on inertial manifolds, SIAM J. Sci. Comput., 22 (2000), no. 6, 2216–2238. (DOI:10.1137/S1064827599351738)

31. Rosa, Ricardo; The global attractor of a weakly damped, forced Korteweg-de Vries equation in $$H^1(\Bbb R)$$, Mat. Contemp., 19 (2000), 129–152.

32. Jolly, M. S.; Rosa, R.; Temam, R.; Evaluating the dimension of an inertial manifold for the Kuramoto-Sivashinsky equation, Adv. Differential Equations, 5 (2000), no. 1-3, 31–66.

33. Moise, Ioana; Rosa, Ricardo; Wang, Xiaoming; Attractors for non-compact semigroups via energy equations, Nonlinearity, 11 (1998), no. 5, 1369–1393. (DOI:10.1088/0951-7715/11/5/012)

34. Rosa, Ricardo; The global attractor for the $$2$$D Navier-Stokes flow on some unbounded domains, Nonlinear Anal., 32 (1998), no. 1, 71–85. (DOI:10.1016/S0362-546X(97)00453-7)

35. Rosa, Ricardo; Temam, Roger; Finite-dimensional feedback control of a scalar reaction-diffusion equation via inertial manifold theory, in Foundations of computational mathematics (Rio de Janeiro, 1997), pp. 382–391, Springer, Berlin, 1997.

36. Moise, I.; Rosa, R.; On the regularity of the global attractor of a weakly damped, forced Korteweg-de Vries equation, Adv. Differential Equations, 2 (1997), no. 2, 257–296.

37. Rosa, Ricardo; Temam, Roger; Inertial manifolds and normal hyperbolicity, Acta Appl. Math., 45 (1996), no. 1, 1–50. (DOI:10.1007/BF00047882)

38. Castañeda, Nelson; Rosa, Ricardo; Optimal estimates for the uncoupling of differential equations, J. Dynam. Differential Equations, 8 (1996), no. 1, 103–139. (DOI:10.1007/BF02218616)

39. Rosa, Ricardo; Approximate inertial manifolds of exponential order, Discrete Contin. Dynam. Systems, 1 (1995), no. 3, 421–448. (DOI:10.3934/dcds.1995.1.421)

40. Rosa, Ricardo; Conjugacy of strongly continuous semigroups generated by normal operators, J. Dynam. Differential Equations, 7 (1995), no. 3, 471–490. (DOI:10.1007/BF02219373)

### Books

1. Foias, C.; Manley, O.; Rosa, R.; Temam, R.; Navier-Stokes equations and turbulence, Cambridge University Press, Cambridge, 2001.

2. Rosa, Ricardo Martins da Silva; Attractors for weakly dissipative equations. Inertial manifolds and normal hyperbolicity. Approximate inertial manifolds of exponential order, Thesis (Ph.D.)–Indiana University, ProQuest LLC, Ann Arbor, MI, 1996.