2025/01/15 by Tim Binz, Matthias Hieber, Binz, Tim +3 · 1 citation
Chemical Engineering · Engineering · #Analysis of PDEs (math.AP) #Enhanced Oil Recovery Techniques #FOS: Mathematics #Heat and Mass Transfer in Porous Media #Rheology and Fluid Dynamics Studies
paper · pdf · doi:10.48550/arxiv.2501.09195
openalex publication_date 2025/01/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This article considers fluid structure interaction describing the motion of a fluid contained in a porous medium. The fluid is modelled by Navier-Stokes equations and the coupling between fluid and the porous medium is described by the classical Beaver-Joseph or the Beaver-Joseph-Saffman interface condition. In contrast to previous work these conditions are investigated for the first time in the strong sense and it is shown that the coupled system admits a unique, global strong solution in critical spaces provided the data are small enough. Furthermore, a Serrin-type blow-up criterium is developed and higher regularity estimates at the interface are established, which say that the solution is even analytic provided the forces are so.