Decomposition of Vector-Valued Divergence Free Sobolev Functions and Shape Optimization for Stationary Navier–Stokes Equations

DOI10.1080/03605300801895258zbMath1141.49038arXivmath/0510669OpenAlexW1995747750MaRDI QIDQ5459785

Dong-Hui Yang, Gengsheng Wang

Publication date: 29 April 2008

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0510669

zbMATH Keywords

Navier-Stokes equationsshape optimizationdecomposition of functions

Mathematics Subject Classification ID

Related Items (3)

The existence of optimal solution for a shape optimization problem on starlike domain ⋮ Smooth Compactly Supported Solutions of Some Underdetermined Elliptic PDE, with Gluing Applications ⋮ Shape Optimization via Control of a Shape Function on a Fixed Domain: Theory and Numerical Results

Cites Work

• On the existence of a solution in a domain identification problem
• Spectral synthesis in Sobolev spaces and uniqueness of solutions of the Dirichlet problem
• A property of Sobolev spaces and existence in optimal design
• \(N\)-dimensional shape optimization under capacitary constraint
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