CURRICULUM VITAE

Noemi Irene Wolanski

Date of birth. October 14, 1956

Place of birth. Buenos Aires, Argentina

Work phone/fax. (5411) 4576-3335

e-mail. wolanski@dm.uba.ar

Education

- Licenciada en Ciencias Matemáticas, Universidad de Buenos Aires, Buenos Aires, Argentina, April 1979

- Doctora en Ciencias Matemáticas, Universidad de Buenos Aires, Buenos Aires, Argentina, June 1983.

Fellowships

- 1980-1984, Departamento de Matemática, Facultad de Cs. Exactas y Naturales, Universidad de Buenos Aires, granted by CONICET (The national research council of Argentina).

- 1984-1986, University of Chicago,granted by the Organization of American States.

Teaching Experience

- Temporary Assistant Professor, Iowa State University, Department of Mathematics, 1986-1987.

- Associate professor, Universidad de Buenos Aires, School of Engeneering, Dept. of Mathematics, 1987-1988.

- Assistant professor, Universidad de Buenos Aires, School of Science, Dept. of Mathematics, 1988-Mayo 1991, on leave during 1990.

- Visiting Associate Professor, Purdue University, Department of Mathematics, January to May, 1990.

- Visiting Associate Professor, University of Maryland College Park, Department of Mathematics, August to December, 1990.

- Associate professor, Universidad de Buenos Aires, School of Science, Dept. of Mathematics, June, 1991 to June 1996.

Present Positions

- Full professor, Universidad de Buenos Aires, School of Science, Dept. of Mathematics, starting June 1996.

- Researcher of the CONICET starting July 1989. “Principal Researcher” starting January 2008.

Publications in Scientific Journals

1. A Diffusion Problem with a Measure as Initial Datum, J. Math. Anal. Appl. 102, 1984, 365-384.

2. Flow Through a Porous Column, J. Math. Anal. Appl. 104, 1985, 140-159.

3. Lipschitz Continuity of Solutions and Interfaces for the N-dimensional Porous Medium Equation, with L. A. Caffarelli and J. L. Vázquez, Indiana Univ. Math. J. 36(2), 1987, 373-402.

4. Monotone Flows in N-dimensional Partially Saturated Porous Media: Lipschitz Continuity of the Interface, with J. Hulshof, Arch. Rat. Mech. Anal. 102(4), 1988, 287-305.

5. C1. Regularity of the Free Boundary for the N-dimensional Porous Media Problem, with L. A. Caffarelli, Comm. Pure Appl. Math. 43(6), 1990, 885-902.

6. A Finite Element Method for the Mindlin-Reissner Plate Model, with R. Durán y A. Ghioldi, SIAM J. Numer. Anal. 28(4), 1991,1004-1014.

7. Blow up Results and Localization of Blow up Points for the Heat Equation with a Nonlinear Boundary Condition, with J. López Gómez y V. Márquez, J. Diff. Eq. 92(2), 1991,384-401.

8. Global Behavior of Positive Solutions to a Nonlinear Diffusion Problem with Nonlinear Absorption through the Boundary, SIAM J. Math. Anal. 24(2), 317-326, 1993.

9. Dynamic Behavior of Positive Solutions to Reaction-Diffusion Problems with Nonlinear Absorption through the Boundary, with J. López Gómez y V. Márquez, Revista de la Unión Matemática Argentina, Vol. 38, 196-209, 1993.

10. Blow up vs. Global existence for a semilinear reaction-diffusion system in a bounded domain, with J. D. Rossi, Communications in PDE 20(11 & 12), 1991-2004, 1995.

11. Uniform estimates and limits for a two phase parabolic singular perturbation problem, with L. A. Caffarelli y C. Lederman, Indiana Univ. Math. J. 46(2), 453-490, 1997.

12. Pointwise and viscosity solutions for the limit of a two phase parabolic singular perturbation problem, with L. A. Caffarelli y C. Lederman, Indiana Univ. Math. J. 46(3), 719,740, 1997.

13. Global existence and nonexistence for a linear system with nonlinear boundary conditions, with J. D. Rossi, Diff. and Int. Eq. 11(1), 179-190, 1998.

14. Viscosity solutions and regularity of the free boundary for the limit of an elliptic two phase singular perturbation problem, with C. Lederman, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 27(2), 253–288, 1998.

15. A mixed semilinear parabolic problem in a non cylindrical space-time domain, with C. Lederman y J. L. Vázquez, Diff. Int. Eqs. 14(4), 385-404, 2001.

16. A free boundary problem in combustion theory, with J. Fernández Bonder, Interfaces and Free Boundaries 2, 381–411, 2000.

17. Uniqueness of solution to a free boundary problem from combustion, with C. Lederman y J. L. Vázquez, Trans. AMS. 353(2), 655–692, 2001.

18. Uniqueness in a two phase free boundary problem, with C. Lederman y J. L. Vázquez, Advances in Differential Equations 6(12), 1409–1442, 2001.

19. A mixed semilinear parabolic problem from combustion theory, USA-Chile workshop on Nonlinear Analysis, with C. Lederman y J. L. Vázquez, Electron, J. Diff. Eqns., Conf. 06, 203–214, 2001.

20. Mathematical justification of a nonlinear integro-differential equation for the propagation of spherical flames, with C. Lederman y J. M. Roquejoffreé, Annali di Matematica Pura ed Applicata, 183, 173-239 (2004) ,

     (a short version appeared in Compt. Rendu Acad. Sci. Series I Mathematics, 334(7), 569-574, 2002).

21. Uniqueness of limit solutions to a free boundary problem from combustion, with J. Fernández Bonder, SIAM Jour. Math. Anal. 36(1), 2004, 172–185.

22. Regularity of the free boundary in an optimization problem related to the best Sobolev trace constant, with J. Fernández Bonder y J. D. Rossi, SIAM Jour. Control Opt. 44(5), 2005, 1612–1635.

23. Singular perturbation in a nonlocal diffusion model, with C. Lederman, Communications in PDE 31(2), 2006, 195–241.

24. An optimization problem with a volume constrain for a degenerate quasilinear operator, with J. Fernández Bonder y S. Martínez, Jour. Diff. Eqs. 227(1), 2006, 80–101.

25. Behavior of the best Sobolev trace constant and extremals in domains with holes, with J. Fernández Bonder y J. D. Rossi, Bulletin des Sciences Mathematique 30, 2006, 565–579.

     26. A two phase elliptic singular perturbation problem with a forcing term, with C. Lederman, J. Math. Pures Appl. 86, 2006, 553–589.

27. Boundary fluxes for non-local diffusion, with C. Cortázar, M. Elgueta y J. D. Rossi, Jour. Diff. Eqs. 234, 2007, 360—390.

28. A local monotonicity formula for an inhomogeneous singular perturbation problem and applications, with C. Lederman, Annali di Matematica Pura Appl. 187(2), 2008, 197—220.

29. How to approximate the heat equation with Neumann boundary conditions by nonlocal diffusion problems, with C. Cortázar, M. Elgueta y J. D. Rossi, Arch. Rat. Mech. Anal. 187(1), 2008, 137—156.

     30. A minimization problem with free boundary in Orlicz spaces, with S. Martínez, Advances in Mathematics, 218, 2008, 1914—1971.

     31. A singular perturbation problem for a quasilinear operator satisfying the natural growth condition of Lieberman, con S. Martínez, SIAM Jour. Math. Anal. 41(1), (2009), 318—359.

     32. A local monotonicity formula for an inhomogeneous singular perturbation problem and applications II, with C. Lederman, Annali di Matematica Pura Appl. 189(1), (2010),  23-46.

     33. A free boundary problem for the p(x)-Laplacian, with J. F. Bonder and S. Martínez, Nonlinear Analysis, TMA 72, (2010), 1078—1103.

34. Asymptotic behavior for a nonlocal diffusion equation with absorption and nonintegrable initial data. The supercritical case, with J. Terra, Proc. AMS 139(4), (2011), 1421–1432.

35. Large time behavior for a nonlocal diffusion equation with absorption and bounded initial data, with J. Terra, Discrete and Continuous Dynamical Systems, 31(2), (2011), 581–605.

36. Asymptotic behavior for a nonlocal diffusion equation in domains with holes, with C. Cortazar, M. Elgueta y F. Quiros, Arch. Rat. Mech. Anal. 205(2), (2012), 673–697.

37. Asymptotic behavior for a nonlocal diffusion equation on the half line, with C. Cortazar, M. Elgueta y F. Quiros, Disc. Cont. Dyn. Sys. A. 35(4), 2015, 1391—1407.

38.  Local bounds, Harnack's inequality and Hölder continuity for divergence type elliptic equations with non-standard growth, Rev. UMA 56(1), 2015,  73--105.

39. Large time behavior for a nonlocal diffusion equation with absorption and bounded initial data. The subcritical case, con A. Salort y  J. Terra, Asymptotic Analysis, to appear.

40. An inhomogeneous singular perturbation problem for the $p(x)$-Laplacian, with C. Lederman, Nonlinear Analysis, TM&A, to appear.

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Direction of Doctoral Thesis

- Julio D. Rossi, Asymptotic behavior for systems of reaction-diffusion equations with nonlinear boundary conditions, Calification: Sobresaliente, June 1996.

- Julián Fernández Bonder, A free boundary problem in combustion theory, Calification: Sobresaliente, May 2002.

- Sandra Martínez, Problemas de frontera libre en espacios de Orlicz, Marzo de 2007, Universidad de Buenos Aires. Calification: Sobresaliente con felicitación del Jurado.

Direction of “Tesis de Licenciatura”

1. Juan P. Borgna, Asymptotic behavior of the solution of the porous medium equation with absorption in the case of critical exponent, March 1995.

2. Carlos Carballo, Some results on the gradient theory of phase transitions, May 1995.

3. Bruno Metz, Geometric theory of semilinear parabolic differential equations, September 1996.

4. Diego Dominici, A system of reaction diffusion equations from the theory of dislocations, December 1998.

5. Carolina Cappato, Problemas de reacción difusión con retardo, Marzo de 2008.

Direction of Researchers

- Claudia Lederman, Assistant Researcher of the CONICET, March 1998 – August 2002.

- Julio D. Rossi, Assistant Researcher of the CONICET, March 2000 – August 2002.

- Fernando Mazzone, Assistant Researcher of the CONICET, October 2004– August 2008.

- Sandra Martínez, Assistant Researcher of the CONICET, April 2008—March 2012.

- Joana Terra, Assistant Researcher of the CONICET, July 2013--..

Direction of Fellowships

 Juan P. Borgna, Student fellow of the University of Buenos Aires, September 1993 - February 1995.

 Julio D. Rossi, Fellow of the CONICET, April 1994 - March 1998.

 Julián Fernández Bonder, Fellow of the University of Buenos Aires, March 1996 - August 2001.

 Sandra Martínez, Fellow of CONICET, April 2004–March 2007.

 Sandra Martínez, Posdoctoral fellow of CONICET, April 2007—March 2008.

Carolina Capatto, Student fellow of the University of Buenos Aires, April 2006– Septermber 2007.

     Carolina Capatto, Fellow of CONICET, April 2008--.July 2009.

     Joana Terra, Postdoctoral fellow of ANPCyT, April 2008—March 2010.

     Ariel Salort, Posdoctoral fellow of CONICET April 2013—March 2015.

Grants obtained

- University of Buenos Aires: “Differential Equations and Numerical Approximation, for the year 1989.

- University of Buenos Aires: “Differential Equations. Blow up and Free Boundary Problems”, 1991-1994. (UBA: EX117).

- CONICET for the organization of the meeting “Encuentro Internacional en Ecuaciones no Lineales y Problemas de Frontera Libre”. This meeting took place from July 18 to August 5, 1994.

- Fundación Antorchas for the organization of the meeting “Encuentro Internacional en Ecuaciones no Lineales y Problemas de Frontera Libre”. This meeting took place from July 18 to August 5, 1994.

- University of Buenos Aires: “Differential Equations and Numerical Analysis”, January 1995 - December 1997. (UBA: EX071).

- Fundación Antorchas for the organization of the meeting “Reunión de Análisis y Ecuaciones no Lineales”, December 17, 18 and 19 1997.

- University of Buenos Aires: “Differential Equations. Blow up and Free Boundary Problems”, January 1998 - December 2000. (UBA: TX47)

- Agencia Nacional de Promoción Cientí fica: “Differential Equations. Theoretical and Numerical Aspects”, August 1998 - July 2000. (ANPCyT: PICT 03 -00000 -00137).

- CONICET: “Differential Equations. Theoretical and Numerical Aspects”, January 1999 - June 2004. (PIP 0660/98).

- International Mathematical Union: Grant to organize the II International Symposium on Non Linear Equations and Free Boundary Problems that took place in Buenos Aires July 3 to 7, 2000.

- Agencia Nacional de Promoción Cientí fica: “Differential Equations. Theoretical and Numerical Aspects”, August 2000 - December 2004. (ANPCyT: PICT 03-00000-05009).

- Fundación Antorchas: “Differential Equations. Theoretical and Numerical Aspects”, April 2003 - March 2006. (Project 13900-5).

- Agencia Nacional de Promoción Científica: “Differential Equations. Theoretical and Numerical Aspects”, October 2004 - September 2007. (ANPCyT: PICT 03-00000-13719).

- University of Buenos Aires: “Differential Equations. Theoretical and Numerical Aspects”, January 2004 -Dicember 2006. (UBACYT: X052)(co-direction). Director: Ricardo G. Durán.

- CONICET, “Differential Equations. Theoretical and Numerical Aspects”, January 2010 – October 2014. (PIP 11220090100625).

- ANPCYT, “Nonlinear PDEs and Free Boundary Problems”, February 2014—February 2017 (PICT-2012-0153).

Academic visits

• Consultant of the Center for Applied Mathematics, Purdue University, June and July, 1990.

• Long term visitor, Institute for Mathematics and its Applications, University of Minnesota, May 1991.

• Member of the Institute for Advanced Study, Princeton, USA, January 4 – April 2, 1993.

• Visiting Professor at the Depto. de Matemática de la Univ. Autónoma de Madrid, May 26 – June 7, 1997.

• Visiting Professor at the Depto. de Matemática de la Univ. Autónoma de Madrid, May 15 – 26, 1999.

• Visiting Professor at the Institute of Applied Mathematics, Université Paul Sabatier, Toulouse, France, May 21 – 25, 2001.

• Visiting Professor at the Centro de Modelamiento Matemático, Universidad de Chile, July 29 – August 10, 2002.

• Visiting Professor at the University of Rí o Cuarto, Argentina, August 9 to 13, 2004.

• Visiting Professor at the Pontificia Universidad Católica of Chile, December 6 to 10, 2004

• Visiting Professor at the Royal Institute of Technology, Stocholm, Suecia, May 17 to 20, 2005.

• Visiting Professor at the Steklov Institute, San Petersburg, Russia, May 23 and 24, 2005.

• Visiting Professor at the Wittgestein Institute, University of Vienna, Austria, May 26 and 27, 2005.

• Visiting Professor at the Pontificia Universidad Católica of Chile, March 13 to 17, 2006.

• Visiting Professor at the Universidad Autónoma de Madrid, Spain, July 2 to 4, 2007.

• Visiting Professor at the Pontificia Universidad Católica of Chile, July 27 to31, 2009.

• Visiting Researcher, Mathematical Sciences Research Institute, Berkeley CA, USA, January 10 to March 12, 2011, Research Program “Free boundary problems. Theory and Applications”.

• Visiting Researcher, Depto. de Matemática, Pontificia Universidad Católica de Chile, August 1 to 5, 2013.

• Visiting Researcher, Newton Institute for Mathematical Sciences, Cambridge, UK, May 1 to June 30, 2014, , Research Program “Free boundary problems. Theory and Applications”.

• Visiting Professor, Universidad Autónoma de Madrid, April 27 to May 22, 2015.

• Visiting Researcher, IMPA, Rio de Janeiro, Brasil, August 3 to 28, 2015, Research Program "Current trends in analysis and differential equations".
  

Organization of Conferences and Workshops

1. Organization of the “Encuentro Internacional en Ecuaciones No Lineales y Problemas de Frontera Libre”, Buenos Aires July 18 – August 5, 1994.

2. Organization of the “Reunión de Análisis y Ecuaciones no Lineales”, Buenos Aires, December 17, 18 and 19, 1997.

3. Organization of the “VI Seminario sobre problemas de frontera libre y sus aplicaciones”, Rosario December 13, 14 and 15, 1998.

4. Organization of the “II Simposio en Ecuaciones no Lineales y Problemas de Frontera Libre”, Buenos Aires, July 3 – 7, 2000.

5. Organization of the session ”Differential Equations of Elliptic and Parabolic Type” in IV Pa-American Workshp in Applied and Computational Mathematics, Córdoba, Argentina, July 2000.

6. Member of the Organizing Committee of the 2nd. Encuentro Internacional en Ecuaciones Di­fe­ren­ciales, Buenos Aires, July 25 to 29, 2005.

7. Member of the Scientific Committee of the III International Symposium on Nonlinear Equations and Free Boundary Problems,Buenos Aires, August 1 to 5, 2005.

8. Member of the Scientific and Organizing Committees of the IV International Symposium on Nonlinear Equations and Free Boundary Problems, Mar del Plata, March 17 to 20, 2009.

9. Member of the Scientific Committee of the VIII Americas Conference on Differential Equations, Veracruz, Mexico, October 19 to 23, 2009.

10. Member of the Scientific Committee of the IX Americas Conference on Differential Equations, Trujillo, Perú, January 9 to 14, 2012.

11. Member of the Scientific Committee and Head of the Organizing Committee of the X Americas Conference on Differential Equations, Buenos Aires, February 9 to 20, 2015.

Direction of international research collaboration projects

1. Direction of the argentine part in the Argentina – Chile Project “Ecuaciones diferenciales no lineales elí pticas y parabólicas”, supported by Fundación Andes of Chile, September 1995 - August 1997.

2. Direction of the argentine part in the Argentina – Spain Project “Ecuaciones en derivadas parciales no lineales. Problemas de Combustion y de Explosión”, supported by the government of Spain under the Program “Cooperación Cientí fica con Iberoamérica”, years 2000, 2001 and 2002.

3. Direcction of the argentine part in a Collaboration project between researchers from the Universidad Autónoma de Madrid, the Universities of Chile and Católica of Chile and the University of Campinas in Brasil. This collaboration project is being supported by Banco Santander Central Hispano of Spain and Centro de Estudios para America Latina of the Universidad Autónoma of Madrid, year 2006.

Editorial Board Member

• Abstract and Applied Analysis,. Hindawi Publishing Corporation.

• International Journal of Mathematical Models and Methods in Applied Sciences, NAUN.