Publications

Preprints:

1. C. García, Z. Hassainia, E. Roulley, Dynamics of vortex caps solutions on the rotating unit sphere. arXiv:2306.00154, 2023 (40 pages).

2. J. Campos, C. García, J. Soler,  Kinks and solitons in linear and nonlinear-diffusion Keller-Segel type models with logarithmic sensitivity. arXiv:2102.13480, 2021, (26 pages).

Articles:

3. C. García, L. Vega, Steady solutions for the Schrödinger map equation. arXiv:2302.03564, 2023 (26 pages). Accepted for publication in Communications in Partial Differential Equations.

4. C. García, J. Gómez-Serrano, Self-similar spirals for the generalized surface quasi-geostrophic equations. arXiv:2207.12363, 2022 (61 pages). Accepted for publication in Journal of the European Mathematical Society.

5. C. García, T. Hmidi, J. Mateu, Time periodic solutions close to localized radial monotone profiles for the 2D Euler equations. Annals of PDE (2024) 10:1 https://doi.org/10.1007/s40818-023-00166-5 (75 pages) arXiv version.

6. C. García, T. Hmidi, J. Mateu, Time periodic doubly connected solutions for the 3D quasi-geostrophic model. SIAM Journal of Mathematical Analysis 55(6) (2023), 6133-6195 (61 pages).  arXiv version.

7. C. García, S. V. Haziot, Global bifurcation for corotating and counter-rotating vortex pairs. Comm. Math. Phys. (2023). https://doi.org/10.1007/s00220-023-04741-6  (38 pages). arXiv version.

8. C. García, T. Hmidi, J. Mateu,  Time periodic solutions for the 3D quasi--geostrophic model.  Comm. Math. Phys. (2022). https://doi.org/10.1007/s00220-021-04290-w (140 pages). arXiv version.

9. C. García, Vortex patches choreography for active scalar equations.   J Nonlinear Sci 31, 75 (2021). https://doi.org/10.1007/s00332-021-09729-x (31 pages). arXiv version.

10.  C. García,  Kármán Vortex Street in incompressible fluid models. Nonlinearity  33 (2020), 1625-1676, (53 pages). arXiv version.

11. C. García, T. Hmidi, J. Soler,  Non uniform rotating vortices and periodic orbits for the two--dimensional Euler equations. Arch. Ration. Mech. Anal. 238 (2020), 929-1086, (157 pages). arXiv version.

Proceedings:

• D. Alonso-Orán, C. García, J. L. Velázquez, Free boundary problems arising in fluid mechanics. Oberwolfach Reports, 11/2023 (2023).

Others:

• PhD thesis: Patterns in Partial Differential Equations Arising from Fluid Mechanics.

• MSc thesis: Existencia de V-estados en las Ecuaciones de Euler.