I am a postdoctoral researcher in mathematics at the Universitat de Barcelona associated to the ERC Starting Grant CAPA leaded by Javier Gómez-Serrano. Previously, I was a Hans Rademacher Instructor at the University of Pennsylvania under the supervision of Robert M. Strain. I did my PhD at the University of Seville under the supervision of Francisco Gancedo. My research focuses on the analysis of incompressible fluid interfaces.

Here you can find my CV and links with information about me, my research and teaching experience.

Panel 1

About me

I completed my studies in Industrial Engineering and Mathematics at the University of Seville in 2014. Later I held an FPU Fellowship granted by the Government of Spain to do my PhD thesis in mathematics under the supervision of Francisco Gancedo (University of Seville and IMUS). I am currently a postdoctoral researcher at the Universitat de Barcelona associated to the ERC Starting Grant CAPA leaded by Javier Gómez-Serrano. Previously, I was a Hans Rademacher Instructor of Mathematics at the University of Pennsylvania. My postdoctoral mentor was Robert M. Strain.

Contact Information:Foto visado (2)

E-mail: egarciajuarez@ub.edu
Office:
Phone:

Mailing address:

Facultat de Matemàtiques i Informàtica
Gran Via de les Corts Catalanes, 585
08007, Barcelona, Spain

Panel 2

Research

My research interests lie within analysis, partial differential equations and fluid mechanics. More specifically, I am interested in the evolution of moving incompressible fluid interfaces coming from physical models.

Publications:

  1. The Peskin Problem with Viscosity Contrast, with Y. Mori, R. Strain. Preprint, arXiv:2009.03360, (2020). (Link to ArXiv)
  2. Global Regularity for Gravity Unstable Muskat Bubbles, with F. Gancedo, N. Patel and R. Strain. Submitted, arXiv:1902.02318, (2019). (Link to ArXiv)
  3. Regularity results for viscous 3D Boussinesq temperature fronts, with F. Gancedo.  Commun. Math. Phys., 376, 1705–1736 (2020). (Link to ArXiv)
  4. On the Muskat problem with viscosity jump: Global in time results,
    with F. Gancedo, N. Patel and R. Strain. Adv. Math., Vol. 345, P. 552-597, (2019). (Link to ArXiv)
  5. Global regularity of 2D density patches for inhomogeneous Navier-Stokes,
    with F. Gancedo. Arch. Ration. Mech. Anal. (2018), 229:339. (Link to ArXiv)
  6. Global regularity for 2D Boussinesq temperature patches with no diffusion,
    with F. Gancedo. Ann. PDE (2017), 3: 14. (Link to ArXiv)

Preprints of my papers can be found in ArXiv, ResearchGate. Information about talks, workshops and grants can be found in my Curriculum Vitae.

Panel 3

CV

Download my CV for a complete description of my education, awards, talks, etc. In this site, the main points will be highlighted.

Education

  1. PhD student in mathematics. University of Seville (FPU Fellowship, 2018).
  2. (4-year) Degree in Mathematics. University of Seville (2014)
  3. (5-year) Degree in Industrial Engineering. University of Seville (2014)

References

  1. Francisco Gancedo, fgancedo@us.es
  2. Robert M. Strain, strain@math.upenn.edu
  3. Yoichiro Mori, y1mori@sas.upenn.edu
  4. Diego Córdoba, dcg@icmat.es

Talks

  1. MathBio Seminar, University of Pennsylvania, Philadelphia, USA. January, 2020.
  2. Partial Differential Equations Seminar, Brown University, Providence, USA. May, 2019.
  3. Differential Equations Seminar, University of Michigan, Ann Arbor, USA. March 2019.
  4. Analysis of Fluids and Related Topics Seminar, Princeton University, Princeton, USA. February 2019.
  5. Joint Mathematics Meetings AMS Special Session on Mathematical Analysis in Fluid Dynamics, Baltimore, USA. January 2019.
  6. Conversaciones fluidas Seminar, IMUS, Seville, Spain. January 2019.
  7. Analysis Seminar, University of Pennsylvania, Philadelphia, USA. October 2018.
  8. Ecuaciones Diferenciales Seminar, IEMath-GR, Granada, Spain. November 2017.
  9. IV Young Researchers Conference, RSME, Valencia, Spain. September 2017.
  10. Conversaciones fluidas Seminar, IMUS, Seville, Spain. May 2017.
  11. PDEs and fluid mechanics Seminar, ICMAT, Madrid, Spain. May 2017.
  12. PHD Seminar, IMUS, Seville, Spain. September 2015.
  13. BCAM, Bilbao, Spain. May 2015.

Conferences Attended

  1. SIAM PDE. December, 2019. La Quinta, California.
  2. Summer School on Fluids Mechanics at the ICMAT, ICMat. June, 2019, Madrid.
  3. Summer School and Workshop: Geometric Function Theory in Fluid Mechanics, BGSMath. July, 2018, Barcelona.
  4. Workshop Mathematical Analysis in Incompressible Fluids, IMUS. June 2018, Sevilla.
  5. IV Young Researchers Meeting, Real Sociedad Matemática Española. June 2017, Valencia.
  6. Summer School and Workshop: Mathematical Analysis of Water Waves and Related Models, Bodega Marine Laboratory, University of California, Davis. June 2017, Bodega Bay, CA, USA.
  7. Spanish-French Workshop on Analysis of PDEs from fluid Mechanics, ICMAT. September 2016, Madrid.
  8. International Summer School on Evolution Equations, Charles University and Institute of Mathematics of the Czech Academy of Sciences. July 2016, Prague.
  9. Mini-school and workshop Analysis of PDEs of Fluid Mechanics and Related Models, Rice University. October 2015. Houston, Texas, USA.
  10. Summer Graduate School Incompressible Fluid Flows at High Reynolds Number, MSRI. 27 July-7 August 2015, Berkeley, California, USA.
  11. Workshop on Mathematics and its Applications, BCAM. May 2015, Bilbao, Spain.
Panel 4

Teaching

Office Hours Spring 2020

Math 241: On Wednesdays 10:30-12:30 pm (or appointment by email)
Math 425: On Mondays 10:30-12:30 pm (or appointment by email)
Email: edugar@math.upenn.edu
Location: Office 3N4C, DRL.
Email: edugar@math.upenn.edu

Teaching

2019/2020

  • Math 425: Partial Differential Equations (Spring)
  • Math 241: Calculus IV, PDE (Spring)
  • Math 115: Multivariate Calculus, with Probability and Matrices (Fall)

2018/19

  • Math 425: Partial Differential Equations (Spring)
  • Math 312: Linear Algebra (Spring, group 002)
  • Math 312: Linear Algebra (Fall, group 001)

2017/18

2016/17

  • Mathematical Analysis (Physics degree)  (2.25 ECTS)
  • Mathematics (Chemistry degree) (2.40 ECTS)
  • Differentiation of functions in Rn (0.40 ECTS)
  • Integration of functions in Rn (0.40 ECTS)