CURRICULUM VITAE OF FELIPE LINARES. Instituto de Matematica Pura e Aplicada Avenida Ataulfo de Paiva 23

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1 CURRICULUM VITAE OF FELIPE LINARES Instituto de Matematica Pura e Aplicada Avenida Ataulfo de Paiva 23 Estrada Dona Castorina 110 Apt. 804, Leblon Rio de Janeiro, RJ, Rio de Janeiro, RJ, Brazil. Brazil (55)(21) (55)(21) linares@impa.br FAX (55)(21) EDUCATION Ph. D. in Mathematics, The Pennsylvania State University, Pennsylvania, Dissertation title: On nonlinear dispersive equations. Thesis supervisor: Prof. Gustavo Ponce. B. S. Mathematics, Universidad Central de Venezuela, Caracas, Venezuela, Graduation thesis: Study of existence, uniqueness and properties of discontinuous solutions of the equation u t + (f(u)) x = 0. PUBLICATIONS 1. F. Linares, Global existence of small solutions for a generalized Boussinesq equation, Journal of Differential Equations, 106 (1993), (2) F. Linares and G. Ponce, On the Davey-Stewartson systems, Annales de l Institut Henri Poincaré. Analyse Nonlineare, 10 (1993), (5) F. Linares and M. Scialom, On the smoothing properties of solutions to the modified Korteweg-de Vries equation, Journal of Differential Equations, 106 (1993), (1) F. Linares and M. Scialom, Asymptotic behavior of solutions of a generalized Boussinesq type equation, Journal of Nonlinear Analysis: TMA, 8 (1995), (11) J. Angulo and F. Linares, Global existence of solutions of a nonlinear dispersive model, Journal of Mathematical Analysis and Applications, 195 (1995), (3) F. Linares, A higher order modified Korteweg-de Vries equation, Journal of Computational and Applied Mathematics, 14 (1995), (3) R. Iorio, F. Linares and M. Scialom, Living under the Sobolev barrier, Proceedings of the Third Summer School on Differential Geometry, Partial Differential Equations and Numerical Analysis. (Bogotá, 1995).

2 Felipe Linares, Page 2 8. F. Linares, G. Ponce and M. Scialom, A note on the blow-up of a nonlinear evolution equation with nonlocal coefficients, Matematica Contemporanea, Proceedings of the IV workshop in PDE, 10 (1996), H. Biagioni and F. Linares, On Benney-Lin and Kawahara equations, Journal of Mathematical Analysis and Applications, 211 (1997), R. Iorio and F. Linares, On KdV equation and bore-like data, GAKUTO International Series. Math. Scien. Appl. Nonlinear Waves, 10 (1997), J. Albert and F. Linares, Stability of solitary-wave solutions to model systems for internal waves, Mathematical and numerical aspects of wave propagation (Golden, CO, 1998), SIAM, Philadelphia, PA, 1998, J. Albert and F. Linares, Stability of solitary-wave solutions to long-wave equations with general dispersion, Matemática Contemporanea, Proceedings of the V workshop in PDE, 15 (1998), R. Iorio, F. Linares and M. Scialom, The KdV and BO equations with bore-like data, Differential and Integral Equations, 11 (1998), F. Linares, L 2 Global well-posedness of the initial value problem associated to the Benjamin equation, Journal of Differential Equations, 152 (1999), G. Fonseca, F. Linares and G. Ponce, Global well-posedness for the modified Korteweg-de Vries equation, Communications in PDE, 24 (3&4),(1999), J. Angulo, J. L. Bona, F. Linares, M. Scialom, On the structure of singularities in solutions of the nonlinear Schrödinger equation for the critical case, p = 4/n, Nonlinear Theory of Generalized Functions, Pitman Research Notes in Mathematics. Michael Grosser, Guenther Hermann, Michael Kunzinger, Michael Oberguggenberger Editors (1999), J. Albert and F. Linares, Stability and symmetry of solitary wave solutions to systems modelling interactions of long waves, Journal de Mathématiques Pures et Appliquées, 79 (2000), (3) G. Fonseca and F. Linares, Benjamin-Ono equation with unbounded data, Journal of Mathematical Analysis and Applications, 247 (2000), (2) H. Biagioni and F. Linares, Ill-posedness for the Derivative nonlinear Schrödinger equation and Generalized Benjamin-Ono Equation, Transactions of the AMS, 353 (2001), (9) J. Angulo, J. L. Bona, F. Linares and M. Scialom, Scaling, stability and singularities for nonlinear, dispersive wave equation: the critical case, Nonlinearity, 15, (2002), G. Fonseca, F. Linares and G. Ponce, Global well-posedness for the critical generalized KdV equation, Proceedings of AMS 131 (2003), X. Carvajal and F. Linares, A higher order nonlinear Schrödinger equation with variable coefficients, Differential and Integral Equations 16 (2003), H. Biagioni and F. Linares, Well-posedness results for the modified Zakharov Kuznetsov equation, Progress in Nonlinear Diff. Eqns. 54 (2003),

3 Felipe Linares, Page H. Biagioni and F. Linares, Ill-posedness for the Zakharov system with generalized nonlinearity, Proc. Amer. Math. Soc 131 (2003), A. Corcho and F. Linares, Well-posedness for the Debye Schrödinger equation, Contemporary Mathematics. Amer. Math. Soc. 362 (2004), F. Linares and A. Navas, On the Schrödinger-Boussinesq Equation, Advances in Differential Equations, 9 (2004), F. Linares and M. Panthee, On the Cauchy problem for a coupled system of KdV equations, Comm. Pure and Appl. Anal. 3 (2004), F. Linares and A. Milanes, A note on solutions to a model for long internal waves in a rotating fluid, Mat. Contemp. 27 (2004), F. Linares and M. Scialom, On generalized Benjamin type equations, in Discrete and Continuous Dynamical Systems, Discrete Contin. Dyn. Syst. 12 (2005), no. 1, F. Linares, G. Ponce and J-C. Saut, On a degenerate Zakharov system, Bull. Braz. Math. Soc. 36 (2005), no. 1, F. Linares and J. H. Ortega, On the controllability and stabilization of the linearized Benjamin-Ono equation. ESAIM Control Optim. Calc. Var. 11 (2005), no. 2, F. Linares and A. Milanes, Local and global well-posedness for the Ostrovskii equation, Journal of Differential Equations, bf 222 (2006), p , 33. F. Linares and A. F. Pazoto, On the exponential decay of the critical generalized Korteweg-de Vries equation with localized damping Proceedings of the AMS, 135 (2007), A. Corcho and F. Linares, Well-posedness for the Schrödinger-Korteweg-de Vries system, Transactions of the AMS, 359 (2007), J. Angulo and F. Linares, Periodic pulses of coupled nonlinear Schrödinger equations in optics, Indiana University Mathematics Journal, 56 (2007), F. Linares and J-C. Saut, The Cauchy problem for the 3D Zakharov-Kuznetsov equation, to appear in DCDS (2008). 37. F. Linares and A. Pazoto, Asymptotic behavior of the Korteweg-de Vries equation posed in a quarter plane, to appear in Journal of Differential Equations (2008) 38. F. Linares and C. Matheus, Well-posedness for the 1D Zakharov-Rubenchik system, to appear in Advances in Differential Equations (2008). EMPLOYMENTS Researcher. Institute for Pure and Applied Mathematics (IMPA), Rio de Janeiro, Brasil present. Assistant Professor. Louisiana State University, Baton Rouge, Louisiana, Instructor (Graduate Assistant). The Pennsylvania State University, University Park, Pennsylvania,

4 Felipe Linares, Page 4 Graduate Assistant. The Pennsylvania State University, University Park, Pennsylvania, Instructor. Universidad Central de Venezuela, Caracas, Venezuela Instructor. Universidad Metropolitana, Caracas, Venezuela Instructor (Assistant). Universidad Central de Venezuela, Caracas, Venezuela VISITING POSITIONS University Paris-Sud, Paris, France, 2 weeks, May Universidad de Chile, CMM, Santiago, Chile, 2 weeks, March University of Illinois at Chicago, 2 weeks, Feb University Paris-Sud, Paris, France, 2 weeks, May University of California, Santa Barbara, USA, 3 months, March-June University Paris-Sud, Paris, France, 1 month, May Universidade Estadual de Campinas, Campinas, 1 month, November December Fields Institute, University of Toronto, Canada, 3 weeks, March University of California, Santa Barbara, USA, Sept 2002-June University of California, Santa Barbara, USA, 1 month, March University of Texas, Austin, Texas, 1 week, April Universidad de Chile, Santiago, Chile, 2 weeks, November University of Oklahoma, Norman, USA, 2 weeks, February, University of Oklahoma, Norman, USA, 2 weeks, January University of Texas, Austin, Texas, 1 week, Universidade Estadual de Campinas, Campinas, 2 months Nov Dec1999. University of California, Santa Barbara, USA, 3 months, Jan March MSRI, Berkeley, USA, 4 months, Aug Dec Universidade Estadual de Campinas, Campinas, Brazil, 2 months, Jan-Feb IVIC, Caracas, Venezuela, 2 months, Aug-Sept INVITED TALKS (last 5 years) III Symposium on Partial Differential Equations 2008, Londrina Seminar Universidad Nacional de Colombia, Medellin 2008 Colloquio Universidad Nacional de Colombia, Bogotá 2008 Workshop on Partial Differential Equations, Rio de Janeiro PDE Seminar Department of Mathematics, UIC, Chicago, ICMC Summer Meeting in Differential Equations, São Carlos 2008 Workshop on Dispersive long waves models: control theory and boundary value problems, Vienna 2007 PDE Seminar IMECC-UNICAMP, Campinas Seminar Universidad de Concepción, Concepción, Chile Seminar Universidad del Bio-Bio, Chillan, Chile Seminar CMM Universidad de Chile, Santiago, Chile 2007.

5 Felipe Linares, Page 5 Workshop on Partial Differential Equations, Rio de Janeiro PDE Seminar IME-USP, São Paulo VII Americas School in Differential Equations, Cartagena, Colombia Workshop on Modelling of Nonlinear Dispersive Long Waves, Vienna, Austria XVI National Congress of Mathematicians, Medellin, Colombia, Analysis Week, UNB, Brasilia, PDE Seminar Deparment of Mathematics, UC Santa Barbara, PDE Seminar IMECC-UNICAMP, Campinas 2007 Workshop on Partial Differential Equations, Rio de Janeiro PDE Seminar IME-UFRJ, Rio de Janeiro Workshop in Calculus of Variations and Applications International Conference on Mathematics Coloquio de la Sociedad Colombiana de Matemtica Workshop on Partial Differential Equation XXIII Coloquio de la Sociedade Matemtica Peruana Seminrio de EDP IMECC-UNICAMP PDE Seminar, University Paris-Sud, France, May PDE seminar, IMECC-UNICAMP, Campinas, Dec Special session PDE/Analysis Second Latinoamerican Congress of Mathematicians, Cancun, Mexico, Jun Workshop in Nonlinear PDE, Campinas, Jun Workshop in Nonlinear Waves, Fields Institute, Toronto, Canada, March Opening Lecture in Cita de Enero, Cali, Colombia, Jan Paraná Symposium on Differential Equations, Foz de Iguaçu, Dec Brazilian Colloquium of Mathematics, IMPA, July RSME-AMS, Seville, Spain, June J. Clarence Karcher Colloquium, University of Oklahoma, Norman, Oklahoma, USA, April University of California, PDE Seminar, Santa Barbara, California, Feb PASI, Santiago de Chile, January PhD STUDENTS Seyed Amin Esfahani Rashidi, IMPA 2008 Aida Patricia Gonzalez Nieva, IMPA 2008 Luiz Gustavo Farah, IMPA 2008 Luciana Mendonça, UNICAMP 2007 Didier Pilod, IMPA 2006 Mahendra Panthee, IMPA 2004 Adan Corcho Fernandez, IMPA 2003 Xavier Carvajal, IMPA 2002