A FREE DISCONTINUITY APPROACH TO OPTIMAL PROFILES IN STOKES FLOWS - Archive ouverte HAL Access content directly
Preprints, Working Papers, ... (Preprint) Year :

A FREE DISCONTINUITY APPROACH TO OPTIMAL PROFILES IN STOKES FLOWS

(1) , (2, 3) , (4) , (5)
1
2
3
4
5

Abstract

In this paper we study obstacles immerged in a Stokes flow with Navier boundary conditions. We prove the existence and regularity of an obstacle with minimal drag, among all shapes of prescribed volume and controlled surface area, taking into account that these shapes may naturally develop geometric features of codimension 1. The existence is carried out in the framework of free discontinuity problems and leads to a relaxed solution in the space of special functions of bounded deformation (SBD). In dimension 2, we prove that the solution is classical.
Fichier principal
Vignette du fichier
BCGN_submitted.pdf (602.4 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-03920819 , version 1 (03-01-2023)

Identifiers

  • HAL Id : hal-03920819 , version 1

Cite

Dorin Bucur, Antonin Chambolle, Alessandro Giacomini, Mickaël Nahon. A FREE DISCONTINUITY APPROACH TO OPTIMAL PROFILES IN STOKES FLOWS. 2023. ⟨hal-03920819⟩
0 View
0 Download

Share

Gmail Facebook Twitter LinkedIn More