3 papers
math.OC2021
Long-Time Behaviour of Shape Design Solutions for the Navier--Stokes Equations
John Sebastian H. Simon
We investigate the behavior of dynamic shape design problems for fluid flow at large time horizon. In particular, we shall compare the shape solutions of a dynamic shape optimizati…
math.OC2021
Maximizing Vortex for the Navier--Stokes Flow with a Convective Boundary Condition: A Shape Design Problem
John Sebastian H. Simon, Hirofumi Notsu
In this study, a shape optimization problem for the two-dimensional stationary Navier--Stokes equations with an artificial boundary condition is considered. The fluid is assumed to…
math.NA2021
A Shape Optimization Problem Constrained with the Stokes Equations to Address Maximization of Vortices
John Sebastian H. Simon, Hirofumi Notsu
We study an optimization problem that aims to determine the shape of an obstacle that is submerged in a fluid governed by the Stokes equations. The mentioned flow takes place in a…