Long‐time behavior of shape design solutions for the Navier–Stokes equations

DOI10.1002/zamm.202100441arXiv2109.09253OpenAlexW4308408545MaRDI QIDQ6202428

Publication date: 26 March 2024

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.09253

Mathematics Subject Classification ID

Partial differential equations of mathematical physics and other areas of application (35Qxx) Incompressible viscous fluids (76Dxx) Manifolds and measure-geometric topics (49Qxx)

Cites Work

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Vortex control of instationary channel flows using translation invariant cost functionals
Vortex control in channel flows using translational invariant cost functionals
Optimal shape determination of a body located in incompressible viscous fluid flow
On the existence of a solution in a domain identification problem
A phase field approach to shape optimization in Navier-Stokes flow with integral state constraints
Turnpike property for two-dimensional Navier-Stokes equations
Turnpike theory of continuous-time linear optimal control problems
Shape optimization for Stokes problem with threshold slip boundary conditions
Variational methods in shape optimization problems
Relaxation of an optimal design problem for the heat equation
Turnpike properties in the calculus of variations and optimal control
Error estimates of a stabilized Lagrange−Galerkin scheme for the Navier−Stokes equations
A SMOOTHING METHOD FOR SHAPE OPTIMIZATION: TRACTION METHOD USING THE ROBIN CONDITION
Shapes and Geometries
Long Time Behavior of a Two-Phase Optimal Design for the Heat Equation
Shape Optimization in Time-Dependent Navier-Stokes Flows via Function Space Parametrization Technique
Variational approach to shape derivatives
Finite Element Methods for Navier-Stokes Equations
On optimum design in fluid mechanics
Shape optimization for Navier–Stokes flow
New development in freefem++
Optimal shape design for 2D heat equations in large time
Shape optimization of a body located in low Reynolds number flow

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