Analytical and numerical methods of symplectic system for Stokes flow in two-dimensional rectangular domain

DOI10.1007/s10483-008-0602-3zbMath1231.76015OpenAlexW2024711307MaRDI QIDQ940641

Xin-Sheng Xu, Ga-Ping Wang, Fa-Ming Sun

Publication date: 1 September 2008

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-008-0602-3

zbMATH Keywords

Stokes flowHamiltonian systemrectangular domainsymplectic eigensolutionssymplectic eigenvalues

Mathematics Subject Classification ID

Viscoelastic fluids (76A10)

Related Items (3)

Eigenfunction expansion method and its application to two-dimensional elasticity problems based on stress formulation ⋮ Symplectic exact solution for Stokes flow in the thin film coating applications ⋮ Eigenfunction expansion method of upper triangular operator matrix and application to two-dimensional elasticity problems based on stress formulation

Cites Work

• The Hamiltonian system and completeness of symplectic orthogonal system
• Accurate solutions for steady plane flow in the driven cavity. I: Stokes flow
• Steady Stokes flow in a rectangular cavity
• Flow over a surface with parallel grooves
• Stokes flow in a two-dimensional cavity with moving end walls
• Low Reynolds number flow over cavities
• The Convergence of Biorthogonal Series for Biharmonic and Stokes Flow Edge Problems: Part II
• The eddy structure in Stokes flow in a cavity
• Eddy genesis in the double-lid-driven cavity
• Infinite systems for a biharmonic problem in a rectangle
• Biorthogonal Series Solution of Stokes Flow Problems in Sectorial Regions
• Closed Streamlines Associated with Channel Flow over a Cavity

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