WAFFLE is a cohesive collaborative network between researchers in France, Ecuador and Chile specialized in fluid dynamics from a mathematical point of view. WAFFLE is working on 

i) Deep harmonic analysis of Navier-Stokes and Euler models, 

ii) The comprehensive understanding of the dynamics in water wave models, and 

iii) A profound work on 2D fluid dispersive models such as KP, ZK, and more recently, studies in Fluids appearing in Climatology and General Relativity. 

We are a forming group with broad interests and high synergy looking for the advance of Science and Mathematics in Latin America through the U. Paris-Saclay, Ecuadorian Amarun and Valdivia Alphanumeria outreach initiatives.

1. 1. [link] Mathematical study of a new Navier-Stokes-alpha model with nonlinear filter equation -- Part I (2026).
      Authors: Manuel Fernando Cortez, Oscar Jarrin. 

Published in Journal of Mathematical Fluid Mechanics, 2026

1. 2. [link] Mathematical study of a new Navier-Stokes-alpha model with nonlinear filter equation -- Part I (2024).
      Authors: Manuel Fernando Cortez, Oscar Jarrin. 

Published in Journal of Mathematical Fluid Mechanics, 2026

1. 3. [link] Remarks on the spatial asymptotic behavior of solutions to a 1D model of equatorial oceanic flows (2026).

Authors: M.F. Cortez, O. Jarrín

Published in Journal of Elliptic and Parabolic Equations, 2026.

1. 4. [link] Uniqueness of Quasimonochromatic Breathers for the Generalized Korteweg--de Vries and Zakharov--Kuznetsov Models (2026).

Authors: Jorge Faya, Pablo Figueroa, Claudio Muñoz, Felipe Poblete

Published in Communications in Mathematical Physics 407 (1), 9.

1. 5. [link] On uniqueness of KP soliton structures (2025).
      Authors: Francisco Alegría, Gong Chen, Claudio Muñoz, Felipe Poblete, Benjamín Tardy 

Published in J. Differential Equations, 2025.

1. 6. [link] On the Boussinesq system with fractional memory in pseudo-measure spaces (2024).

Authors: Felipe Poblete, Clessius Silva, Arlúcio Viana

Published in Asymptotic Analysis 139 (2024), 157--181.

1. 7. [link] The Role of the Dimension in Uniqueness Results for the Fractional Stationary Quasi-Geostrophic System (2025).

Authors: D. Chamorro, M.F. Cortez

Published in Mathematical Methods in the Applied Sciences (2025), 14194-14206.

1. 8.  arXiv:2503.04236 [pdf] Global weak solutions for a variation of the Whitham equation (2025)
      Authors: Diego Chamorro, María Eugenia Martínez
      Published as a preprint, 2025.

   9. Arxiv:2506.15863 [pdf] Sharp Well-Posedness and Parameter Asymptotics for a Nonlocal Model of Thin-Film Flows (2025).

Authors: M.F. Cortez, O. Jarrín, M. Yangari

Published as a preprint, 2025.

1. 10. arXiv:2408.09969  [pdf]  Nonlinear Stability of nonsingular solitons of the Principal Chiral Field equation.

Authors: Miguel Á. Alejo, Claudio Muñoz, Jessica Trespalacios. 

Accepted in Proc. AMS (2026).

1. 11. (preprint) The interaction dynamics of the Whitham’s solitary wave in slowly varying media.

Authors: M. E. Martínez, C. Muñoz and F. Rousset.

1. 12. (in preparation) Existence and interaction of solitary waves in the Zakharov Water Waves system under a slowly variable bottom.
       Authors: M. E. Martínez, C. Muñoz and F. Rousset. 

   13. (in preparation) On the mathematical validity of the UVic system.

O. Jarrín and C. Muñoz.