On a time-dependent grade-two fluid model in two dimensions

DOI10.1016/j.camwa.2006.02.048zbMath1122.76009OpenAlexW2059169663MaRDI QIDQ2459628

M. Saadouni, Vivette Girault

Publication date: 7 November 2007

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2006.02.048

zbMATH Keywords

Galerkin methodweak solutionexistence

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) PDEs in connection with fluid mechanics (35Q35)

Related Items

Grade-two fluids on non-smooth domain driven by multiplicative noise: existence, uniqueness and regularity ⋮ An analysis of the Rayleigh-Stokes problem for a generalized second-grade fluid ⋮ An iteratively regularized Gauss-Newton-Halley method for solving nonlinear ill-posed problems ⋮ Viscosity limit and deviations principles for a grade-two fluid driven by multiplicative noise ⋮ Upwind discretization of a time-dependent two-dimensional grade-two fluid model ⋮ Approximate controllability of second-grade fluids ⋮ Global well-posedness of second-grade fluid equations in 2D exterior domain

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Anomalous features in the model of second order fluids
• Thermodynamics, stability, and boundedness of fluids of complexity 2 and fluids of second grade
• An analysis of a mixed finite element method for the Navier-Stokes equations
• The Euler-Poincaré equations and semidirect products with applications to continuum theories
• Weak and classical solutions of a family of second grade fluids
• Fluids of differential type: Critical review and thermodynamic analysis
• Analysis of a two-dimensional grade-two fluid model with a tangential boundary condition
• Finite-element discretizations of a two-dimensional grade-two fluid model
• Equivalent Norms for Sobolev Spaces