Research Interests

These are some of my Research Interests:
  • Mathematical Material Sciences.
  • Partial Differential Equations.
  • Homogenization Theory for Nonlinear Partial Differential Equations.
  • Multiscale Analysis.
  • Fluid/Solid Mechanics.
                          

Publications


Talks and Poster Presentations

July 10th, 2012:
Minisimposium on Homogenization and Model Reduction Methods for Multiscale Phenomena
Correctors and Field Fluctuations for the $p_{\epsilon}(x)$-Laplacian with Rough Exponents: The Sublinear Growth Case.
SIAM Annual Meeting
Minneapolis, MN.

Apr 25th, 2012:

Tufts SIAM Student Chapter Seminar
Nonlinear Neutral Inclusions: Assemblages of Disks and Ellipsoids.
Tufts University
Medford, MA.

Mar 30th, 2012:
Applied Math Days at RPI
Nonlinear Neutral Inclusions
Troy, NY.

Jan 6th, 2012:
AMS Session on Partial Differential Equations I
Nonlinear Neutral Inclusions: Assemblages of Disks and Ellipsoids.
2012 Joint Mathematics Meetings
Boston, MA.
Oct 25th, 2011:
Talk for graduate studenst: Searching for Academic Jobs. Stratton Hall, WPI.

July 13th, 2010:
(Invited)Student Days: SIAM Student Chapter Presentations
2010 Siam Annual Meeting
Pittsburgh, Pennsylvania.

May 26th, 2010:
CP7: Homogenization
Siam Conference on Mathematical Aspects of Materials Science
Philadelphia, Pennsylvania.

April 15th, 2010:
About applying for jobs (Planning ahead).  
Career Day - organized by AWM and SIAM Student Chapters at LSU
Louisiana State University.
  • I received a certificate from SIAM (pictures) in recognition of service to the SIAM Chapter at LSU.
March 18th, 2010:
(Invited) PDE Seminar
Worcester Polytechnic Institute.

January 25th, 2010:

Poster: Multiscale Field Analysis on Nonlinear Composites. [pdf]  
Metamaterials: Applications, Analysis and Modeling
IPAM, UCLA.

January 14th, 2010:

Correctors and Field Fluctuations for the $p_{\epsilon}$-Laplacian with Rough Exponents. [pdf]
AMS Session on Differential and Difference Equations, I  
Joint Mathematics Meetings
San Francisco, CA.

December 10th, 2009:
CP11 Variational Methods and Homogenizations
SIAM Conference on Analysis of Partial Differential Equations
Hilton Miami Downtown, Miami, Florida.

August 12th, 2009:

Nonlinear Composites.  [pdf]
G.E.A.U.X Program, Dept. of Mathematics
Louisiana State University.

July 9th, 2009:

(Invited)Correctors, Homogenization and Field Fluctuations for the $p_{\epsilon}$-Laplacian with Rough Exponents.  [pdf]
SIAM Annual Meeting 2009, Workshop Celebration Diversity: Applications of Mathematics
Denver, Colorado.

July 7th, 2009:

Poster: Approximation of Local Fields in Nonlinear Power Law Materials.  [here]
SIAM Annual Meeting 2009: Poster Session and Dessert Reception
Denver, Colorado.

April 2-4, 2009:

Poster: Local Fields in Nonlinear Power Law Materials.  [here]
IMA Special Workshop: Career Options for Women in Mathematical Sciences
University of Minnesota, Minnesota.

January 7th, 2009:
Local Fields in Nonlinear Power Law Materials.
Joint Mathematics Meetings: AMS Session on Partial Differential Equations,III
Washington, DC.  

December 1st, 2008:
(Invited)Strong Approximations of Local Fields in Nonlinear Power Law Materials and Applications.  [pdf]
Applied Mathematics Seminar at Texas A&M
Department of Mathematics at Texas A&M University.

November 26th, 2008:

Strong Approximations of Local Fields in Nonlinear Power Law Materials and Applications.  [pdf]
Applied Analysis Graduate Student Seminar / SIAM Graduate Student Seminar 
Louisiana State University.

November 15th, 2008:

Poster: Local Fields in Nonlinear Power Law Materials.  [pdf]
SAMSI Special Workshop: BLACKWELL-TAPIA CONFERENCE 2008.
Research Triangle Park, North Carolina.

October 13th, 2008:

(Invited)Local Fields in Nonlinear Power Law Materials.  [pdf]
TECNICAL SYMPOSIUM ON LOCAL FIELD PROPERTIES, MICROSTRUCTURE, AND MULTISCALE PHENOMENA IN HETEROGENEOUS MEDIA.
University of Illinois at Urbana-Champaign.

July 9th, 2008:
(Invited)Corrector Theory for the Homogenization of Nonlinear Composite Materials.  [pdf]
DIVERSITY WORKSHOP, SIAM ANNUAL MEETING
San Diego, California.

Sept 28th, 2007:
(Invited)Theory of Homogenization.  [pdf]
FUTURE FACULTY CAREER EXPLORATION PROGRAM
Rochester Institute of Technology
Silvia Jimenez
Contact Information:
Silvia Jimenez Bolanos
Dept. of Mathematical Sciences
Worcester Polytechnic Institute
100 Institute Road
Worcester, MA 01609
Office:  Stratton Hall 305 D
Phone:  (508) 831-5242
Email:   silviajimenez@wpi.edu


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