Nonhomogeneous boundary value problem for the stationary Navier-Stokes equations in a domain with a cusp

DOI10.1007/s00033-019-1075-5zbMath1412.35222OpenAlexW2917947316MaRDI QIDQ666609

Neringa Klovienė, Kristina Kaulakytė, Konstantinas Pileckas

Publication date: 6 March 2019

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-019-1075-5

zbMATH Keywords

stationary Navier-Stokes equationsnonhomogeneous boundary conditionnonzero fluxcusp point singularity

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Weak solutions to PDEs (35D30)

Related Items (5)

Solenoidal extensions in domains with obstacles: explicit bounds and applications to Navier-Stokes equations ⋮ Non-stationary Navier-Stokes equations in \(2D\) power cusp domain. I: Construction of the formal asymptotic decomposition ⋮ 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 ⋮ ON NONHOMOGENEOUS BOUNDARY VALUE PROBLEM FOR THE STATIONARY NAVIER-STOKES EQUATIONS IN A SYMMETRIC CUSP DOMAIN

Cites Work

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• On the nonstationary Stokes system in a cone
• On the existence of singular solutions of the stationary Navier-Stokes problem
• Asymptotic modeling of a piston with completely wetted surface
• Certain spaces of solenoidal vectors and the solvability of the boundary problem for the Navier-Stokes system of equations in domains with noncompact boundaries
• Asymptotics of solutions to Stokes and Navier-Stokes equations in domains with paraboloidal outlets to infinity
• A removable isolated singularity theorem for the stationary Navier-Stokes equations
• On the flow the water under a still stone
• The flux problem for the Navier-Stokes equations
• On nonhomogeneous boundary value problems for the stationary Navier–Stokes equations in two-dimensional symmetric semi-infinite outlets
• On singular solutions of time-periodic and steady Stokes problems in a power cusp domain

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