2 citations · 2 across the 6 of their papers we have counts for
3 papers · 1 filter
A Differential Algebraic Framework for Boundary Layer -Models
C. Valencia-Negrete, J. Flores, M. Perez +2
By addressing the problem of describing the differences between the saturation monoids of the Prandtl and Leray- boundary layers, and algebraically distinguishing the action of…
Tropical Geometry as a Restricted Architecture for Physics-Informed Neural Networks: Applications in Nonlinear Fluid-Structure Examples
Carla Valencia-Negrete, Cristhian Garay-Lopez, Marco Favela-Rodriguez +1
Nonlinear algebraic (polynomial) differential equations that govern fluid-structure interactions, such as those modeling vortex-induced vibrations, and shock waves, often lack anal…
Elementary solutions of ordinary tropical differential equations, and vanishing orders of solutions of algebraic differential equations
Cristhian Garay-López, Johana Luviano-Flores, Carla Valencia-Negrete
Our aim is to use tropical differential algebra to systematically build a combinatorial basis for the study of the set of (formal) power series solutions to nonlinear algebraic ord…