A stream-function-vorticity variational formulation for the exterior Stokes problem in weighted Sobolev spaces

DOI10.1002/mma.1670150506zbMath0761.35083OpenAlexW2018274071MaRDI QIDQ4013381

Adélia Sequeira, Jean Giroire, Vivette Girault

Publication date: 27 September 1992

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.1670150506

zbMATH Keywords

vector potentialstream functionBabuska-Brezzi ``inf-sup condition

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30) Variational methods for second-order elliptic equations (35J20)

Related Items

A stream function-vorticity formulation coupled with boundary integrals for the two-dimensional exterior Stokes problem, Weak solutions of the Stokes problem in weighted Sobolev spaces, \(L^p\)-strong solution for the stationary exterior Stokes equations with Navier boundary condition, Conformal mapping for cavity inverse problem: an explicit reconstruction formula, Very weak solutions for the Stokes problem in an exterior domain, Weighted Hilbert spaces for the stationary exterior Stokes problem with Navier slip boundary conditions, Vector potentials in three-dimensional non-smooth domains, A vorticity-velocity variational formulation for the exterior stokes problem in weighted sobolev spaces, A piecewise linear finite element method for the buckling and the vibration problems of thin plates, WeightedL^p‐theory for vector potential operators in three‐dimensional exterior domains, Unnamed Item, A finite element method for the buckling problem of simply supported Kirchhoff plates, Unnamed Item

Cites Work

• Finite Element Methods for Navier-Stokes Equations
• Mixed spectral element approximation of the Navier-Stokes equations in the stream-function and vorticity formulation
• Unnamed Item