Panel 1

CV

Here you can download my CV.

Positions

  1. Ramón y Cajal Researcher, Universidad de Sevilla, Dec. 2022 –
  2. Marie Skłodowska-Curie Individual Fellow, Universitat de Barcelona, Sept. 2021 – Nov. 2022
  3. ERC Post-doctoral Researcher, Universitat de Barcelona, July 2020 – Aug. 2021
  4. Hans Rademacher Instructor of Mathematics, University of Pennsylvania, Aug. 2018 – June 2020
  5. 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.

Publications:

  1. Well-Posedness of the 3D Peskin Problem, with P.-C. Kuo, Y. Mori, R. Strain. Submitted, arXiv:2301.12153, (2023).
  2. Global Regularity of 2D Navier-Stokes 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).
  3. Quantitative Hölder Estimates for Even Singular Integral Operators on Patches, with F. Gancedo. Journal of Functional Analysis, 283 (9) (Link to ArXiv), (2022).
  4. Self-similar solutions for the Muskat equation, with J. Gómez-Serrano, H. Q. Nguyen, B. Pausader. Advances in Mathematics, 399, (2022). (Link to ArXiv).
  5. The Peskin Problem with Viscosity Contrast, with Y. Mori, R. Strain. To appear in Analysis & PDE, arXiv:2009.03360, (2020). (Link to ArXiv)
  6. 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)
  7. Regularity results for viscous 3D Boussinesq temperature fronts, with F. Gancedo.  Communications in Mathematical Physics, 376, 1705-1736 (2020). (Link to ArXiv)
  8. 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)
  9. 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)
  10. 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 did a PhD in mathematics under the supervision of Francisco Gancedo (Universidad de Sevilla and IMUS). I currently work as a Ramón y Cajal researcher at Universidad de Sevilla. Previously, I worked as a postdoc at Universitat de Barcelona (BGSMath), first as a member of the ERC Starting Grant CAPA leaded by Javier Gómez-Serrano and then as a MSCA Individual Fellow. Before that, I was a Hans Rademacher Instructor of Mathematics at University of Pennsylvania. My postdoctoral mentor at UPenn was Robert M. Strain.

Contact Information:photo

E-mail: egarciajuarez@ub.edu
Office: Modulo 15 (1st floor)
Phone:

Mailing address:

Departamento de Análisis Matemático
Facultad de Matemáticas, Universidad de Sevilla
C/ Tarfia s/n (Campus Reina Mercedes)
41012, Sevilla, Spain