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, 22460-320 Rio de Janeiro, RJ, 22440-032 Brazil. Brazil (55)(21) 2529-5224 (55)(21) 2294-7268 email: linares@impa.br FAX (55)(21) 2529-5129 EDUCATION Ph. D. in Mathematics, The Pennsylvania State University, Pennsylvania, 1992. Dissertation title: On nonlinear dispersive equations. Thesis supervisor: Prof. Gustavo Ponce. B. S. Mathematics, Universidad Central de Venezuela, Caracas, Venezuela, 1985. 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) 257 293. 2. F. Linares and G. Ponce, On the Davey-Stewartson systems, Annales de l Institut Henri Poincaré. Analyse Nonlineare, 10 (1993), (5) 523 548. 3. 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) 141 154. 4. F. Linares and M. Scialom, Asymptotic behavior of solutions of a generalized Boussinesq type equation, Journal of Nonlinear Analysis: TMA, 8 (1995), (11) 1147 1158. 5. J. Angulo and F. Linares, Global existence of solutions of a nonlinear dispersive model, Journal of Mathematical Analysis and Applications, 195 (1995), (3) 797-808. 6. F. Linares, A higher order modified Korteweg-de Vries equation, Journal of Computational and Applied Mathematics, 14 (1995), (3) 253 267. 7. 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).
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), 61 69. 9. H. Biagioni and F. Linares, On Benney-Lin and Kawahara equations, Journal of Mathematical Analysis and Applications, 211 (1997), 131 152. 10. R. Iorio and F. Linares, On KdV equation and bore-like data, GAKUTO International Series. Math. Scien. Appl. Nonlinear Waves, 10 (1997), 183 187. 11. 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, 200 204. 12. 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), 1 19. 13. R. Iorio, F. Linares and M. Scialom, The KdV and BO equations with bore-like data, Differential and Integral Equations, 11 (1998), 895 915. 14. F. Linares, L 2 Global well-posedness of the initial value problem associated to the Benjamin equation, Journal of Differential Equations, 152 (1999), 377 393. 15. G. Fonseca, F. Linares and G. Ponce, Global well-posedness for the modified Korteweg-de Vries equation, Communications in PDE, 24 (3&4),(1999), 683 705. 16. 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), 3 22. 17. 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)195 226. 18. G. Fonseca and F. Linares, Benjamin-Ono equation with unbounded data, Journal of Mathematical Analysis and Applications, 247 (2000), (2) 426 447. 19. 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) 3649 3659. 20. 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), 759-786. 21. G. Fonseca, F. Linares and G. Ponce, Global well-posedness for the critical generalized KdV equation, Proceedings of AMS 131 (2003), 1847 1855. 22. X. Carvajal and F. Linares, A higher order nonlinear Schrödinger equation with variable coefficients, Differential and Integral Equations 16 (2003), 1111 1130. 23. H. Biagioni and F. Linares, Well-posedness results for the modified Zakharov Kuznetsov equation, Progress in Nonlinear Diff. Eqns. 54 (2003), 181 189.
Felipe Linares, Page 3 24. H. Biagioni and F. Linares, Ill-posedness for the Zakharov system with generalized nonlinearity, Proc. Amer. Math. Soc 131 (2003), 3113 3121. 25. A. Corcho and F. Linares, Well-posedness for the Debye Schrödinger equation, Contemporary Mathematics. Amer. Math. Soc. 362 (2004), 113 131. 26. F. Linares and A. Navas, On the Schrödinger-Boussinesq Equation, Advances in Differential Equations, 9 (2004), 159 176. 27. F. Linares and M. Panthee, On the Cauchy problem for a coupled system of KdV equations, Comm. Pure and Appl. Anal. 3 (2004), 417 431. 28. F. Linares and A. Milanes, A note on solutions to a model for long internal waves in a rotating fluid, Mat. Contemp. 27 (2004), 101 115. 29. F. Linares and M. Scialom, On generalized Benjamin type equations, in Discrete and Continuous Dynamical Systems, Discrete Contin. Dyn. Syst. 12 (2005), no. 1, 161 174. 30. F. Linares, G. Ponce and J-C. Saut, On a degenerate Zakharov system, Bull. Braz. Math. Soc. 36 (2005), no. 1, 1 23. 31. 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, 204 218. 32. F. Linares and A. Milanes, Local and global well-posedness for the Ostrovskii equation, Journal of Differential Equations, bf 222 (2006), p. 325-325, 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), 1515 1522. 34. A. Corcho and F. Linares, Well-posedness for the Schrödinger-Korteweg-de Vries system, Transactions of the AMS, 359 (2007), 4089 4106. 35. J. Angulo and F. Linares, Periodic pulses of coupled nonlinear Schrödinger equations in optics, Indiana University Mathematics Journal, 56 (2007), 847 877. 36. 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. 1993 present. Assistant Professor. Louisiana State University, Baton Rouge, Louisiana, 1992 1993. Instructor (Graduate Assistant). The Pennsylvania State University, University Park, Pennsylvania, 1990 1992.
Felipe Linares, Page 4 Graduate Assistant. The Pennsylvania State University, University Park, Pennsylvania, 1989 1990. Instructor. Universidad Central de Venezuela, Caracas, Venezuela. 1986 1989. Instructor. Universidad Metropolitana, Caracas, Venezuela. 1986 1989. Instructor (Assistant). Universidad Central de Venezuela, Caracas, Venezuela. 1983 1986. VISITING POSITIONS University Paris-Sud, Paris, France, 2 weeks, May 2008. Universidad de Chile, CMM, Santiago, Chile, 2 weeks, March 2008. University of Illinois at Chicago, 2 weeks, Feb 2008. University Paris-Sud, Paris, France, 2 weeks, May 2007. University of California, Santa Barbara, USA, 3 months, March-June 2006. University Paris-Sud, Paris, France, 1 month, May 2005. Universidade Estadual de Campinas, Campinas, 1 month, November December 2004. Fields Institute, University of Toronto, Canada, 3 weeks, March 2004. University of California, Santa Barbara, USA, Sept 2002-June 2003. University of California, Santa Barbara, USA, 1 month, March 2001. University of Texas, Austin, Texas, 1 week, April 2001. Universidad de Chile, Santiago, Chile, 2 weeks, November 2000. University of Oklahoma, Norman, USA, 2 weeks, February, 2000. University of Oklahoma, Norman, USA, 2 weeks, January 1999. University of Texas, Austin, Texas, 1 week, 1999. Universidade Estadual de Campinas, Campinas, 2 months Nov Dec1999. University of California, Santa Barbara, USA, 3 months, Jan March 1998. MSRI, Berkeley, USA, 4 months, Aug Dec 1997. Universidade Estadual de Campinas, Campinas, Brazil, 2 months, Jan-Feb 1995. IVIC, Caracas, Venezuela, 2 months, Aug-Sept 1993. INVITED TALKS (last 5 years) III Symposium on Partial Differential Equations 2008, Londrina 2008. Seminar Universidad Nacional de Colombia, Medellin 2008 Colloquio Universidad Nacional de Colombia, Bogotá 2008 Workshop on Partial Differential Equations, Rio de Janeiro 2008. PDE Seminar Department of Mathematics, UIC, Chicago, 2008. 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 2007. Seminar Universidad de Concepción, Concepción, Chile 2007. Seminar Universidad del Bio-Bio, Chillan, Chile 2007. Seminar CMM Universidad de Chile, Santiago, Chile 2007.
Felipe Linares, Page 5 Workshop on Partial Differential Equations, Rio de Janeiro 2007. PDE Seminar IME-USP, São Paulo 2007. VII Americas School in Differential Equations, Cartagena, Colombia 2007. Workshop on Modelling of Nonlinear Dispersive Long Waves, Vienna, Austria 2007. XVI National Congress of Mathematicians, Medellin, Colombia, 2007. Analysis Week, UNB, Brasilia, 2006. PDE Seminar Deparment of Mathematics, UC Santa Barbara, 2006. PDE Seminar IMECC-UNICAMP, Campinas 2007 Workshop on Partial Differential Equations, Rio de Janeiro 2006. PDE Seminar IME-UFRJ, Rio de Janeiro 2006. Workshop in Calculus of Variations and Applications. 2006. International Conference on Mathematics. 2006. Coloquio de la Sociedad Colombiana de Matemtica. 2005. Workshop on Partial Differential Equation. 2005. XXIII Coloquio de la Sociedade Matemtica Peruana. 2005. Seminrio de EDP IMECC-UNICAMP. 2005. PDE Seminar, University Paris-Sud, France, May 2005. PDE seminar, IMECC-UNICAMP, Campinas, Dec 2004. Special session PDE/Analysis Second Latinoamerican Congress of Mathematicians, Cancun, Mexico, Jun 2004. Workshop in Nonlinear PDE, Campinas, Jun 2004. Workshop in Nonlinear Waves, Fields Institute, Toronto, Canada, March 2004. Opening Lecture in Cita de Enero, Cali, Colombia, Jan 2004. Paraná Symposium on Differential Equations, Foz de Iguaçu, Dec 2003. Brazilian Colloquium of Mathematics, IMPA, July 2003. RSME-AMS, Seville, Spain, June 2003. J. Clarence Karcher Colloquium, University of Oklahoma, Norman, Oklahoma, USA, April 2003. University of California, PDE Seminar, Santa Barbara, California, Feb 2003. PASI, Santiago de Chile, January 2003. 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