Non-stationary Navier-Stokes equations in \(2D\) power cusp domain. I: Construction of the formal asymptotic decomposition

DOI10.1515/anona-2020-0164zbMath1473.35411OpenAlexW3137234950MaRDI QIDQ2042399

Alicija Raciene, Konstantinas Pileckas

Publication date: 20 July 2021

Published in: Advances in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/anona-2020-0164

zbMATH Keywords

asymptotic expansionsingular solutionsnonstationary Navier-Stokes problempower cusp domain

Mathematics Subject Classification ID

Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Navier-Stokes equations (35Q30) Analyticity in context of PDEs (35A20) Asymptotic expansions of solutions to PDEs (35C20) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (3)

Kohn-Vogelius formulation for plasma geometry identification problem ⋮ Non-stationary Navier-Stokes equations in \(2D\) power cusp domain. II: Existence of the solution ⋮ ON SINGULAR SOLUTIONS OF THE STATIONARY NAVIER-STOKES SYSTEM IN POWER CUSP DOMAINS

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