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. F. Gancedo, E. García-Juárez, P. Luna-Velasco. On 2D Navier-Stokes free boundary: nonnegative density and small viscosity contrast. Preprint, arXiv:2507.09333, (2025).
  2. E. García-Juárez, P.-C. Kuo, Y. Mori. The Immersed Inextensible Interface Problem in 2D Stokes Flow. SIAM Journal on Mathematical Analysis, Vol. 57, 4 (2025).  (Link to ArXiv).
  3. F. Gancedo, E. García-Juárez, N. Patel, R. Strain. On Nonlinear Stability of Muskat Bubbles. Journal de Mathématiques Pures et Appliquées, Vol. 194, 103664, (2025). (Link to arXiv)
  4. E. García-Juárez, S. V. Haziot. Critical well-posedness for the 2D Peskin problem with general tension. Advances in Mathematics, 460, (2025). (Link to ArXiv).
  5. E. García-Juárez, P.-C. Kuo, Y. Mori, R. Strain. Well-Posedness of the 3D Peskin Problem. Mathematical Models and Methods in Applied Sciences, Vol. 35, No. 01, pp. 113-216, (2025). (Link to ArXiv)
  6. E. García-Juárez, J. Gómez-Serrano, S. V. Haziot, B. Pausader. Desingularization of small moving corners for the Muskat equation. Annals of PDE 10, 17, (2024). (Link to ArXiv)
  7. F. Gancedo, E. García-Juárez, N. Patel, R. Strain. Global Regularity for Gravity Unstable Muskat Bubbles. Memoirs of the American Mathematical Society, 292, no. 1455, (2023). (Link to ArXiv)
  8. E. García-Juárez, Y. Mori, R. Strain. The Peskin Problem with Viscosity Contrast. Analysis & PDE, Vol. 16, No. 3, 785-838, (2023). (Link to ArXiv)
  9. F. Gancedo, E. García-Juárez. Global Regularity of 2D Navier-Stokes Free Boundary with Small Viscosity Contrast. Ann. Inst. H. Poincaré Anal. Non Linéaire 40, no. 6, pp. 1319–1352, (2023). (Link to ArXiv)
  10. E. García-Juárez, J. Gómez-Serrano, H. Q. Nguyen, B. Pausader. Self-similar solutions for the Muskat equation. Advances in Mathematics, 399, (2022). (Link to ArXiv).
  11. F. Gancedo, E. García-Juárez. Quantitative Hölder Estimates for Even Singular Integral Operators on Patches. Journal of Functional Analysis, 283 (9), (2022). (Link to ArXiv)
  12. F. Gancedo, E. García-Juárez. Regularity results for viscous 3D Boussinesq temperature fronts.  Communications in Mathematical Physics, 376, 1705-1736 (2020). (Link to ArXiv)
  13. F. Gancedo, E. García-Juárez, N. Patel, R. Strain. On the Muskat problem with viscosity jump: Global in time results. Advances in Mathematics, 345,  552-597, (2019). (Link to ArXiv)
  14. F. Gancedo, E. García-Juárez. Global regularity of 2D density patches for inhomogeneous Navier-Stokes. Archive for Rational Mechanics and Analysis, 229 (1), 339-360, (2018). (Link to ArXiv)
  15. F. Gancedo, E. García-Juárez. Global regularity for 2D Boussinesq temperature patches with no diffusion. Annals of PDE 3, 14, (2017). (Link to ArXiv)

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

Panel 3

Teaching

Tutorías Segundo Cuatrimestre 2025

Viernes 10:00-14:00,
Email: egarcia12@us.es
Despacho: Módulo 15 (Análisis), Despacho 7

Teaching

2024/2025 (Universidad de Sevilla)

  • Análisis Matemático I (Grado en Física) (Segundo cuatrimestre)
  • Métodos Matemáticos I (Grado en Física) (Segundo cuatrimestre)

2023/2024 (Universidad de Sevilla)

2022/2023 (Universidad de Sevilla)

  • Métodos Matemáticos I (Grado en Física) (Primer cuatrimestre)
  • Integración de funciones en varias variables (prácticas)

2021/2022 (Universitat de Barcelona)

2020/2021 (Universitat de Barcelona)

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)

  • Análisis Matemático (Grado en Física)
  • Matemáticas (Grado en Química)
  • Cálculo Infinitesimal (prácticas)

2016/17 (Universidad de Sevilla)

  • Análisis Matemático (Grado en Física)
  • Matemáticas (Grado en Química)
  • Diferenciación de funciones en varias variables (prácticas)
  • Integración de funciones en varias variables (prácticas)
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.

Contact Information:photo

E-mail: egarcia12@us.es
Office: Modulo 15 (1st floor), N7
Phone:

Mailing address:

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