Research Interests
- Mathematical Material Sciences.
- Partial Differential Equations.
- Homogenization Theory for Nonlinear Partial Differential Equations.
- Multiscale Analysis.
- Fluid/Solid Mechanics.
Publications
- S. Jimenez, R.P. Lipton. "Correctors and Field Fluctuations for the $p_{\epsilon}(x)$-Laplacian with Rough Exponents". J.Math. Anal. Appl., 2010.
- S. Jimenez. "Correctors and Field Fluctuation for the $p_{\epsilon}(x)$-Laplacian with Rough Exponents: The Sublinear Growth Case". ESAIM Math. Model. Numer. Anal., 2013.
- S. Jimenez, B. Vernescu, W. Sanguinet. "Nonlinear Neutral Inclusions: Assemblages of Spheres". International Journal of Solids and Structures, 2013.
- S. Jimenez, B. Vernescu. "Nonlinear Neutral Inclusions: Assemblages of Confocal Coated Ellipsoids". Submitted.
- S. Jimenez and B. Vernescu. "Effective slip condition for fluid flows near a rough boundary". In preparation.
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.
- I co-organized the AMS Special Session on Local Field Properties, Microstructure, and Multiscale Modeling of Heterogeneous Meida at the Joint Mathematics Meetings. Boston, MA, January 4-7, 2012.
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.
- Poster of the SIAM Annual Meeting 2010: Second page in Student Days Schedule.
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.
(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.
- A note about me in SIAM News: During the last SIAM Annual Meeting (July 2008, San Diego) I participated in the 11th SIAM Diversity Day giving a talk. SIAM NEWS had an article about this activity in their December 2008 issue.
(Invited)Theory of Homogenization. [pdf]
FUTURE FACULTY CAREER EXPLORATION PROGRAM
Rochester Institute of Technology
