Topological asymptotic expansion for the full Navier–Stokes equations

DOI10.3233/asy-221807zbMath1522.35364OpenAlexW4298109978MaRDI QIDQ6105406

Unnamed Author, Maatoug Hassine

Publication date: 26 June 2023

Published in: Asymptotic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3233/asy-221807

zbMATH Keywords

Navier-Stokes equationsasymptotic expansionnonlinear operatortopology optimizationfluid mechanicstopological gradienttopological sensitivity analysis

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Asymptotic expansions of solutions to PDEs (35C20) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Perturbations in context of PDEs (35B20) Optimization of shapes other than minimal surfaces (49Q10) Flow control and optimization for incompressible viscous fluids (76D55) Sensitivity analysis for optimization problems on manifolds (49Q12) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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