4 papers · 1 filter
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…
Approximate solutions for Dorodnitzyn's gaseous boundary layer limit formula
C. V. Valencia-Negrete
Oleinik's \emph{no back-flow} condition ensures the existence and uniqueness of solutions for the Prandtl equations in a rectangular domain . It also allowed…
A Shear Stress Reynolds' Limit Formula
Carla Victoria Valencia-Negrete
Historically, meteorological and climate studies have been prompted by the need for understanding precipitation to have better logistics in food production. Despite all efforts, no…
Reynolds' Limit Formula for Dorodnitzyn's Atmospheric Boundary Layer in Convective Conditions
C. V. Valencia-Negrete, C. Gay-García, A. A. Carsteanu
Atmospheric convection is an essential aspect of atmospheric movement, and it is a source of errors in Climate Models. Being able to generate approximate limit formulas and compare…