Cecilia F. Mondaini. Curriculum Vitae. Mailstop 3368 Phone: (814)

Transcription

1 Cecilia F. Mondaini Curriculum Vitae Department of Mathematics Office: 633D Blocker Mailstop 3368 Phone: (814) Texas A&M University cmondaini[at]math.tamu.edu College Station, TX Web: Research Interests Analysis of partial differential equations, fluid dynamics, Navier-Stokes equations, data assimilation, reduced order modeling, Postprocessing Galerkin method, long-time behavior of dissipative evolution equations, statistical solutions of evolution equations. Education D.Sc. in Mathematics Thesis title: Abstract framework for the theory of statistical solutions. Advisor: Ricardo Rosa. Grant: CNPq M.Sc. in Mathematics Dissertation title: An abstract formulation for the study of statistical solutions of the Navier-Stokes equations. Advisor: Ricardo Rosa. Grant: CNPq, 2008; FAPERJ, B.S. in Mathematics, Magna Cum Laude Junior Research Projects: Generalized solutions of the wave equation, 2006; Uniform stabilization for models associated to vibrations of beams, Advisor: Ademir Pazoto. Grant: CNPq-PIBIC. Appointments Jun present Jan May 2017 Mar Dec 2016 Feb 2015 Postdoctoral Research Associate Texas A&M University, College Station, TX. Postdoctoral Fellow ICERM/Brown University, Providence, RI. Postdoctoral Research Associate Texas A&M University, College Station, TX. Visiting Scholar Instituto de Ciencias Matematicas - ICMAT, Madrid, Spain. Honors 2017 NSF Travel grant - US Junior Oberwolfach Fellows AWM-NSF Travel grant Nomination to CAPES Best Thesis Prize, UFRJ Bolsa Nota 10 - FAPERJ (Special Master s Scholarship). Curriculum Vitae - Cecilia F. Mondaini 1 of 5

2 2006 Honorable Mention for work presented at XXVIII Jornada Giulio Massarani de Iniciação Científica, Artística e Cultural, UFRJ. Title: Generalized solutions of the wave equation. Teaching 2016 University of Kansas Type: Teaching assistant during PI Summer Graduate Program - Mathematics and Climate, July 18th - August 04th. Group Project: Data assimilation in reduced models Federal University of Rio de Janeiro Type: Instructor. Courses: MAC 128 Calculus I: , , , MAC 128 Calculus II: , , MAC 238 Calculus III: Federal University of Rio de Janeiro Type: Teaching Assistant. Course: MAE 127 Differential Equations (2009.1). Publications and Preprints [1] C. F. Mondaini, An abstract formulation for the study of statistical solutions of the Navier-Stokes equations, M.Sc. Dissertation, UFRJ (2010), [2] A. Bronzi, C. F. Mondaini and R. Rosa, Trajectory statistical solutions for three-dimensional Navier-Stokes-like systems, SIAM J. Math. Anal. 46, (2014). [3] C. F. Mondaini, Abstract framework for the theory of statistical solutions, D.Sc. Thesis, UFRJ (2014). [4] N. Carels, C. F. Mondaini and R. P. Mondaini, Entropy measures based method for the classification of protein domains into families and clans, BIOMAT 2013, World Sci. Publ. (2014), pp [5] A. Bronzi, C. F. Mondaini and R. Rosa, Abstract framework for the theory of statistical solutions, J. Differential Equations 260, no. 12, (2016). [6] C. Foias, C. F. Mondaini and E. S. Titi, A discrete data assimilation scheme for the solutions of the 2D Navier-Stokes equations and their statistics, SIAM J. Appl. Dyn. Syst. 15 (2016), no. 4, pp [7] C. Foias, C. F. Mondaini and E. S. Titi, Postprocessing Galerkin method applied to a data assimilation algorithm: a uniform in time error estimate, to appear at SIAM J. Numer. Anal. [8] A. Biswas, C. Foias, C. F. Mondaini and E. S. Titi, Downscaling data assimilation algorithm with applications to statistical solutions of the Navier-Stokes equations, arxiv: [math.ap]. [9] A. Bronzi, C. F. Mondaini and R. Rosa, On the convergence of statistical solutions, preprint. [10] C. Foias, C. F. Mondaini and B. Zhang, On the Kolmogorov entropy of the weak global attractor of the 3D Navier-Stokes equations: II, preprint. [11] H. Ibdah, C. F. Mondaini and E. S. Titi, Space-time discrete numerical schemes for a feedback-control data assimilation algorithm, preprint. Invited Talks and Conference Presentations Jan 2018 An ensemble data assimilation algorithm via feedback-control, Joint Mathematics Meetings, San Diego, CA, USA. Curriculum Vitae - Cecilia F. Mondaini 2 of 5

3 Dec 2017 Numerical Approximation of a Feedback-Control Data Assimilation Algorithm: Uniform in Time Error Estimates, SIAM Conference on Analysis of Partial Differential Equations, Baltimore, MD, USA. Sep 2017 Sep 2017 Numerical Approximation of a Feedback-Control Data Assimilation Algorithm: Uniform in Time Error Estimates, 3rd Annual Meeting of SIAM Central States Section, Colorado State University, CO, USA. On the Convergence of Statistical Solutions of Evolution Equations, 3rd Annual Meeting of SIAM Central States Section, 2017, Colorado State University, CO, USA. Analysis of a feedback-control data assimilation algorithm, Mathematical Congress of the Americas, 2017, Montréal, Canada. Analysis of a nudging-based algorithm for data assimilation, SIAM Annual Meeting 2017, Pittsburgh, PA, USA. May 2017 Numerical Approximation of a Data Assimilation Algorithm by a Post-processing Galerkin Method, SIAM Conference on Applications of Dynamical Systems, Snowbird, UT, USA. May 2017 On the convergence of statistical solutions of evolution equations, Darmstadt Analysis Day Workshop, Technical University of Darmstadt, Germany. May 2017 Analysis of a feedback-control data assimilation algorithm, Geophysical Fluid Dynamics Workshop, Mathematisches Forschungsinstitut Oberwolfach, Oberwolfach, Germany. May 2017 On the convergence of statistical solutions of evolution equations, AMS Sectional Meeting - Special Session on Nonlinear and Stochastic Partial Differential Equations: Theory and Applications in Turbulence and Geophysical Flows, Hunter College, NY, USA. May 2017 Analysis of a feedback-control data assimilation algorithm, AMS Sectional Meeting - Special Session on Hydrodynamic and Wave Turbulence, Hunter College, NY, USA. Feb 2017 Analysis of a feedback-control data assimilation algorithm, Analysis and Applied Mathematics Seminar, University of Illinois at Chicago, IL, USA. Analysis of a feedback-control based data assimilation algorithm, Colloquium, University of Texas at Dallas, TX, USA. Dec 2016 Numerical approximation of a data assimilation algorithm by a Post-processing Galerkin method, Applied and Computational Mathematics seminar, Tulane University, LA, USA. Nov 2016 Data Assimilation via a Downscaling Algorithm, Sextas Matematicas, UFRJ, Brazil. May 2016 A discrete data assimilation scheme for the solutions of the 2D Navier-Stokes equations and their statistics, International Conference on Evolution Equations, Vanderbilt University, Nashville, TN, USA. Mar 2016 A discrete data assimilation scheme for the solutions of the 2D Navier-Stokes equations and their statistics, Colloquium Talk, Texas Tech University, TX, USA. Jan 2016 A discrete data assimilation scheme for the solutions of the 2D Navier-Stokes equations and their statistics, Nonlinear PDEs Seminar, Texas A&M University, TX, USA. Dec 2015 On the Kolmogorov entropy of the weak global attractor of the 3D Navier-Stokes equations, SIAM Conference on Analysis of Partial Differential Equations, Scottsdale, AZ, USA. Dec 2015 A discrete data assimilation scheme for the solutions of the 2D Navier-Stokes equations and their statistics, SIAM Conference on Analysis of Partial Differential Equations, Scottsdale, AZ, USA. Apr 2015 Feb 2015 Statistical solutions of general evolution equations, Nonlinear Partial Differential Equations Seminar, Texas A&M University, College Station, TX, USA. Statistical solutions: from the Navier-Stokes equations to general evolution equations, Fluid Mechanics and PDE s Pizza Seminar, ICMAT, Madrid, Spain. Jun 2014 Statistical solutions from an abstract viewpoint, IV Workshop on Fluids and PDE, IMPA, Rio de Janeiro, Brazil. Sep 2012 An abstract framework for the theory of statistical solutions, International Conference on Nonlinear Partial Differential Equations, Oxford, UK. Nov 2011 Some results on statistical solutions of the Navier-Stokes squations for an extended class of external forces, SIAM Conference on Analysis of Partial Differential Equations, San Diego, CA, USA. Jan 2010 An abstract formulation for the study of statistical solutions of the Navier-Stokes equations, First Franco- Brazilian Fluids Summer School, IMECC-UNICAMP, Campinas, Brazil. Curriculum Vitae - Cecilia F. Mondaini 3 of 5

4 Conferences and Programs Attended 3rd Annual Meeting of SIAM Central States Section, Colorado State University, CO, USA. Mathematical Congress of the Americas, Montréal, Canada. SIAM Annual Meeting, Pittsburgh, PA, USA. May 2017 SIAM Conference on Applications of Dynamical Systems, Snowbird, UT, USA. May 2017 Darmstadt Analysis Day Workshop, Technical University of Darmstadt, Germany. May 2017 Geophysical Fluid Dynamics Workshop, Mathematisches Forschungsinstitut Oberwolfach, Oberwolfach, Germany. May 2017 AMS Sectional Meeting, Hunter College, NY, USA. Water Waves, ICERM/Brown University, RI, USA. KUMUNU Conference on PDE, Dynamical Systems and Applications 2017, University of Nebraska- Lincoln, NE, USA. Mar 2017 Making a Splash - Droplets, Jets and Other Singularities, ICERM/Brown University, RI, USA. Feb 2017 Dynamics of Small Scales in Fluids, ICERM/Brown University, RI, USA. Jan 2017 Current Developments in Mathematical Fluid Dynamics: Regularity, Instabilities, and Turbulence; ICERM/Brown University, RI, USA. Jan 2017 Jul 2016 Jun 2016 Turbulent Dissipation, Mixing and Predictability; IPAM/UCLA, CA, USA. PI Summer Graduate Program - Mathematics and Climate (IMA), University of Kansas, KS, USA. Dynamics and Differential Equations, Institute for Mathematics and its Applications (IMA), University of Minnesota, Minneapolis, MN, USA. May 2016 International Conference on Evolution Equations, Vanderbilt University, Nashville, TN, USA. Feb 2016 Advances in Kinetic and Fluid Dynamics Transport: Analysis and Approximations, University of Texas at Austin, TX, USA. Dec 2015 SIAM Conference on Analysis of Partial Differential Equations, Scottsdale, AZ, USA. Oct 2015 Jun 2014 Analysis of PDEs of Fluid Mechanics and Related Models Mini-school and workshop, Rice University, Houston, TX, USA. IV Workshop on Fluids and PDE, IMPA, Rio de Janeiro, Brazil. Mar 2014 School Around Vortices: from Continuum to Quantum Mechanics, IMPA, Rio de Janeiro, Brazil. Sep 2012 International Conference on Nonlinear Partial Differential Equations, University of Oxford, UK. Nov 2011 SIAM Conference on Analysis of Partial Differential Equations, San Diego, USA. Jul 2010 Jan 2010 Second Franco-Brazilian Fluids Summer School, Institut Camille Jordan Université Lyon 1, Lyon, France. First Franco-Brazilian Fluids Summer School, IMECC-UNICAMP, Campinas, Brazil. Aug 2008 II Workshop on Fluids and PDE, UFRJ, Rio de Janeiro, Brazil. Jul Coloquio Brasileiro de Matematica, IMPA, Rio de Janeiro, Brazil. Professional Service Referee for the following journals: Nonlinearity, SIAM J. Math. Anal., Adv. Math. Phys., Ann. Polon. Math. Co-organizer of the mini-symposium Recent developments in data assimilation, at the SIAM Conference on Applications of Dynamical Systems, May 21 25, 2017, Snowbird, UT, USA. Co-organizers: J. Maclean (UNC-Chapel Hill) and V. Martinez (Tulane Univ.). Curriculum Vitae - Cecilia F. Mondaini 4 of 5

5 Co-organizer of the AMS Special Session Nonlinear and Stochastic Partial Differential Equations and Applications, at the Spring Eastern AMS Sectional Meeting, April 21 22, 2018, Boston, MA, USA. Co-organizers: N. Glatt-Holtz (Tulane Univ.) and V. Martinez (Tulane Univ.). Co-organizer of the Special Session Intersections in Probability and Nonlinear PDEs, at the 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications, July 5 9, 2018, Taipei, Taiwan. Co-organizers: Y.-M. Chung (UNCG), N. Glatt-Holtz (Tulane Univ.) and V. Martinez (Tulane Univ.). Skills and Abilities Languages Portuguese: mother-tongue. English: advanced. French: intermediate. Spanish: intermediate. Computer skills Maple, Matlab, Latex. Curriculum Vitae - Cecilia F. Mondaini 5 of 5