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. Accepted in Annales de l’Institut Henri Poincaré C, Analyse Non Linéaire, arXiv:2109.08764, (2021).
  2. Quantitative Hölder Estimates for Even Singular Integral Operators on Patches, with F. Gancedo. Journal of Functional Analysis, 283 (9) (Link to ArXiv), (2022).
  3. Self-similar solutions for the Muskat equation, with J. Gómez-Serrano, H. Q. Nguyen, B. Pausader. Advances in Mathematics, 399, (2022). (Link to ArXiv).
  4. The Peskin Problem with Viscosity Contrast, with Y. Mori, R. Strain. To appear 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. To appear in Memoirs of the American Mathematical Society, 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)

Research profiles: ArXiv, ORCID, Google ScholarResearchGate, Scopus, Web of ScienceMathSciNet. Information about talks, workshops and grants can be found in my Curriculum Vitae.

Panel 3

Teaching

Office Hours Spring 2022

Email: egarciajuarez@ub.edu

Teaching

2021/2022 (Universitat de Barcelona)

  • Introduction to Fluid Mechanics (BGSMath Graduate Course) (Spring)

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)

  • Mathematical Analysis (Physics degree)
  • Mathematics (Chemistry degree)
  • Infinitesimal Calculus

2016/17 (Universidad de Sevilla)

  • Mathematical Analysis (Physics degree)
  • Mathematics (Chemistry degree)
  • Differentiation of functions in Rn
  • Integration of functions in Rn
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