Research Interests
- Mathematical Material Sciences.
- Partial Differential Equations.
- Homogenization Theory for Nonlinear Partial Differential Equations.
- Multiscale Analysis.
- Fluid/Solid Mechanics.
Publications
- Jimenez, Silvia; Lipton, Robert P. Correctors and Field Fluctuations for the $p_{\epsilon}(x)$-Laplacian with Rough Exponents. J. Math. Anal. Appl. 372 (2010), no. 2, 448–469
- Jimenez, Silvia. Correctors and Field Fluctuation for the $p_{\epsilon}(x)$-Laplacian with Rough Exponents: The Sublinear Growth Case. ESAIM Math. Model. Numer. Anal. 47 (2013), no. 2, 349–375.
- Jimenez, Silvia; Vernescu, Bogdan, Sanguinet, William. "Nonlinear Neutral Inclusions: Assemblages of Spheres". International Journal of Solids and Structures. 50 (2013), 2231-2238.
- Jimenez, Silvia; Vernescu, Bogdan. "Nonlinear Neutral Inclusions: Assemblages of Coated Ellipsoids". Royal Society Open Science, 2015.
Submitted Publications
- Jimenez, Silvia; Vernescu, Bogdan. "Navier Slip
Condition for Viscous Fluids on a Rough Boundary".
Accepted pending revisions. Physics of Fluids, 2017.
Articles in Preparation
- Jimenez, Silvia; Tilley, Burt; Vernescu, Bogdan. "On
energy and charge transport in electrokinetically-driven
flows through heated porous media".
- Jimenez, Silvia; Vernescu, Bogdan. "E ective Boundary
Condition for the Interface Between a Viscous Fluid and
a Porous Medium".
Talks and Poster Presentations
Nov 17, 2015:I gave a talk in Applied Math Seminar in the Department of Mathematics at Syracuse University.
April 24, 2015:
I gave a seminar talk in the Department of Mathematics, Computer Science, and Statistics at SUNY Oneonta.
April 11-12, 2015:
The First Annual Meeting of SIAM Central States Section and gave a talk a the Mini-symposium "Analytical and computational Methods in Nonlinear Problems of Solid Mechanics". Missouri S&T Campus, Rolla, Missouri.
March 26, 2015:
Talk at the Inverse Problems and Analysis Seminar in the Department of Mathematical Sciences at University of Delaware.
March 14-18, 2015:
MS113 Fluid Transport Dynamics in Biology and Medicine
2015 SIAM Conference on Computational Science and Engineering
Salt Lake City, Utah. March 14-18, 2015.
August, 2014:
ICERM IdeaLab 2014: Program for Early Career Researchers.
Jan 17th, 2014:
AWM Workshop on Numerical and Theoretical Approaches for Nonlinear Partial Differential Equations
2014 SIAM Annual Meeting
Jan 17th, 2014:
AMS Special Session on Recent Advances in Homogenization and Model Reduction Methods for Multiscale Phenomena.
2014 Joint Mathematics Meetings
Baltimore, MD.
December 8th, 2013:
Minisymposium on Homogenization and Multiscale Modeling of Heterogeneous Media.
SIAM Conference on Analysis of Partial Differential Equations
Orlando, Florida.
November 9th, 2013:
4th New York Conference on Applied Mathematics
Cornell University,
Ithaca, NY.
April 3rd, 2013:
Department of Mathematics
Colgate University,
Hamilton, NY.
February 19th, 2013:
Department of Mathematical Sciences
New Mexico State University,
Las Cruces, NM.
February 5th, 2013:
Mathematics Department
Rose-Hulman Institute of Technology,
Terre Haute, IN.
January 30th, 2013:
Department of Mathematics and Computer Science
California State University, East Bay,
Hayward, CA.
Jan 10th, 2013:
AMS Special Session on Recent Advances and New Challenges in Applied Analysis
2013 Joint Mathematics Meetings
San Diego, CA.
December 5th, 2012:
Department of Applied Mathematics
Wentworth Institute of Technology,
Boston, MA.
October 15th, 2012:
Department of Mathematics and Computer Science
College of the Holy Cross,
Worcester, MA.
October 13th, 2012:
3rd New York Conference on Applied Mathematics
Rensselaer Polytechnic Institute,
Troy, NY.
September 21st, 2012:
School of Mathematical Sciences
Rochester Institute of Technology,
Rochester, NY.
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.
