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

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.





Silvia Jimenez
Contact Information:
Silvia Jimenez Bolanos
Department of Mathematics
Colgate University
13 Oak Drive
Hamilton, NY 13346
Office:  207 McGregory Hall
Phone:  (315) 228 6045
Email:   sjimenez@colgate.edu


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