Curriculum - Vicente Vergara -

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Personal Data
Date/Place of Birth
5 of January of 1973, Santiago of Chile.
Nationality
Chilean
E-Mail
vicente.vergara@gmail.com
Actual Position
2009 - Associate researcher in Instituto de Alta investigación, Universidad de Tarapacá, Arica - Chile.
2007 - 2010 Postdoctoral position in Proyecto Anillo del Laboratorio de Análisis Estocástico PBCT-ACT13
2007 - 2008 Postdoctoral position by the Vicerectoría de Investigación y Desarrollo ( VRID ) of the USACH.
Visiting Position
University of Pernambuco, Brazil
November 2007 		one month
Research Interests
Theory of Maximal regularity and qualitative (geometric) of linear and nonlinear evolution equations. In particular fractional differential evolutionary equations and equations of Volterra type in Banach spaces. Applications to linear and nonlinear partial differential equations, with strong emphasis in:
Heat conduction with memory

Theory of phase transitions

Cahn-Hilliard equation with memory

Free boundary problems
Research Proposals
2007 - 2010 Proyecto FONDECYT N 11070003 . Evolutionary Integral Problems of Parabolic Type.
Main researcher.		 three years

Publications

Papers (MathSciNet)
6.- Well-posedness and long-time behaviour for the non-isothermal Cahn-Hilliard equation with memory
To appear in DCDS Series A. (2009), (with J. Pruess and R. Zacher)		 pdf
5.- Lyapunov functions and convergence to steady state for differential equations of fractional order
Math. Z. 259 (2008), no. 2, 287--309. (with R. Zacher)		 pdf
4.- A conserved phase field system with memory and relaxed chemical potential
J. of Math. Anal. and Appl. 328 (2007) no. 2, 789--812.		 pdf
3.- Maximal regularity and global well-posedness for a phase field system with memory
J. Integral Equations Appl. 19 (2007) no. 1, 93--115. 		pdf
2.- Uniform stability of resolvent families
Proc. Amer. Math. Soc. 132 (2004), no. 1, 175--181. (with C. Lizama)		 pdf
1.- Existence of attracting periodic orbits for the Newton method
Sci. Ser. A Math. Sci. (N.S.) 7 (2001), 31--36. (with S. Plaza)		 pdf
Preprints
Convergence to steady states of solutions of nonlinear evolutionary integral equations
pdf
Convergence of solutions of fractional second-order gradient-like systems with analytic nonlinearities pdf
Books
Convergence to steady state for a phase field system with memory
Shaker-Verlag, Aachen Germany, 2006.

Last actualization 01.06.09