Panel 1

CV

Here you can download my CV.

Positions

  1. Marie Skłodowska-Curie Individual Fellow, Universitat de Barcelona, Sept. 2021 – 
  2. ERC Post-doctoral Researcher, Universitat de Barcelona, July 2020 – Aug. 2021
  3. Hans Rademacher Instructor of Mathematics, University of Pennsylvania, Aug. 2018 – June 2020
  4. FPU Predoctoral Fellow, Universidad de Sevilla, Sept. 2015 – June 2018

Education

  1. PhD student in mathematics. Universidad de Sevilla (FPU Fellowship, 2018).
  2. (4-year) Degree in Mathematics. Universidad de Sevilla (2014)
  3. (5-year) Degree in Industrial Engineering. Universidad de Sevilla (2014)
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 interfaces in incompressible flows coming from physical models. Since September, 2021, I work on the MSCA-IF-2020 project CAMINFLOW.

Publications:

  1. Global Regularity of 2D N-S Free Boundary with Small Viscosity Contrast, with F. Gancedo. Preprint, arXiv:2109.08764, (2021).
  2. Quantitative Hölder Estimates for Even Singular Integral Operators on Patches, with F. Gancedo. Preprint, arXiv:2109.08762, (2021).
  3. Self-similar solutions for the Muskat equation, with J. Gómez-Serrano, H. Q. Nguyen, B. Pausader. Preprint, arXiv:2109.02565, (2021).
  4. The Peskin Problem with Viscosity Contrast, with Y. Mori, R. Strain. Accepted in Analysis & PDE, arXiv:2009.03360, (2020). (Link to ArXiv)
  5. Global Regularity for Gravity Unstable Muskat Bubbles, with F. Gancedo, N. Patel and R. Strain. Accepted in Memoirs of the AMS, arXiv:1902.02318, (2019). (Link to ArXiv)
  6. Regularity results for viscous 3D Boussinesq temperature fronts, with F. Gancedo.  Communications in Mathematical Physics, 376, 1705-1736 (2020). (Link to ArXiv)
  7. On the Muskat problem with viscosity jump: Global in time results,
    with F. Gancedo, N. Patel and R. Strain. Advances in Mathematics, 345,  552-597, (2019). (Link to ArXiv)
  8. Global regularity of 2D density patches for inhomogeneous Navier-Stokes,
    with F. Gancedo. Archive for Rational Mechanics and Analysis, 229 (1), 339-360, (2018). (Link to ArXiv)
  9. Global regularity for 2D Boussinesq temperature patches with no diffusion,
    with F. Gancedo. Annals of PDE 3, 14, (2017). (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

Teaching

Office Hours Spring 2021

Tuesdays 16:00-17:00
Email: egarciajuarez@ub.edu
Location: Online

Teaching

2020/2021 (Universitat de Barcelona)

  • Equacions Diferencials (Spring)

2019/2020 (University of Pennsylvania)

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

2018/19 (University of Pennsylvania)

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

2017/18 (Universidad de Sevilla)

2016/17 (Universidad de Sevilla)

  • 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)
Panel 4

About me

I completed my studies in Industrial Engineering and Mathematics at Universidad de Sevilla 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 (Universidad de Sevilla and IMUS). I am a Marie Skłodowska-Curie Individual Fellow at Universitat de Barcelona (BGSMath). Previously, I was a postdoctoral researcher associated to the ERC Starting Grant CAPA leaded by Javier Gómez-Serrano and a Hans Rademacher Instructor of Mathematics at University of Pennsylvania. My postdoctoral mentor at UPenn 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