2026/05/07 by Vivette Girault, María González Taboada, Frédéric Hecht · 1 voice
Computer Science · Mathematics · Engineering · #Advanced Mathematical Modeling in Engineering #Differential Equations and Numerical Methods #Fluid dynamics and aerodynamics studies
paper · doi:10.1016/j.ijengsci.2026.104562
openalex publication_date 2026/05/07 · openalex created_date 2026/05/08 · openalex updated_date 2026/07/25
This work analyzes a variant of a model introduced by K.R. Rajagopal describing a flow through a deformable porous solid where the viscosity of the fluid and drag coefficient depend on the fluid’s pressure. The variant consists in truncating and regularizing the pressure in space by convolution and in time by convolution plus retardation. For this variant, a priori estimates and existence of solutions are established.