On the two-dimensional Navier-Stokes equations in stream function form

DOI10.1006/jmaa.1996.5174zbMath0874.76016OpenAlexW1975337512MaRDI QIDQ1353796

De-Kang Mao, Li-Ping He, Ben-yu Guo

Publication date: 3 July 1997

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1996.5174

zbMATH Keywords

regularityinitial-boundary value problemuniquenessexistence of weak solutionweak formulationcompactness argumenttrilinear formconvergence of numerical solutionsemi-discrete Faedo-Galerkin scheme

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30)

Related Items (6)

A virtual element discretization for the time dependent Navier–Stokes equations in stream-function formulation ⋮ Weak adversarial networks for solving forward and inverse problems involving 2D incompressible Navier-Stokes equations ⋮ A Hellan--Herrmann--Johnson-like Method for the Stream Function Formulation of the Stokes Equations in Two and Three Space Dimensions ⋮ On two-dimensional unsteady incompressible fluid flow in an infinite strip ⋮ Vorticity and stream function formulations for the 2D Navier-Stokes equations in a bounded domain ⋮ Error estimation of prediction-correction Legendre spectral approximation to incompressible fluid flow

Cites Work

• Some Spectral Approximations of Two-Dimensional Fourth-Order Problems
• Efficient Spectral-Galerkin Method I. Direct Solvers of Second- and Fourth-Order Equations Using Legendre Polynomials
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