The second grade fluid and averaged Euler equations with Navier-slip boundary conditions
From MaRDI portal
Publication:4430693
DOI10.1088/0951-7715/16/3/318zbMath1026.76004OpenAlexW2127110206MaRDI QIDQ4430693
Tudor S. Ratiu, Adriana Valentina Busuioc
Publication date: 12 October 2003
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: http://infoscience.epfl.ch/record/129520
uniquenesslocal existenceglobal existencesecond-grade fluidsNavier-slip boundary conditionsLyapunov stability conditionsaveraged Euler equations
Related Items (45)
Grade-two fluids on non-smooth domain driven by multiplicative noise: existence, uniqueness and regularity ⋮ Well-posedness of stochastic second grade fluids ⋮ Some remarks on a certain class of axisymmetric fluids of differential type ⋮ Strong solutions for a stochastic model of two-dimensional second grade fluids driven by Lévy noise ⋮ Uniform time of existence for the alpha Euler equations ⋮ Incompressible fluids in thin domains with Navier friction boundary conditions. II ⋮ On 3D Lagrangian Navier-Stokes \(\alpha\) model with a class of vorticity-slip boundary conditions ⋮ On the existence of optimal and \(\epsilon\)-optimal feedback controls for stochastic second grade fluids ⋮ Optimal control for two-dimensional stochastic second grade fluids ⋮ Weak solutions of a stochastic model for two-dimensional second grade fluids ⋮ On the initial boundary value problem for certain 2D MHD-\(\alpha\) equations without velocity viscosity ⋮ Well-posedness of stochastic third grade fluid equation ⋮ On the asymptotic behaviour and stochastic stabilization of second grade fluids ⋮ Wave breaking for the periodic weakly dissipative Dullin-Gottwald-Holm equation ⋮ On the convergence of the two-dimensional second grade fluid model to the Navier-Stokes equation ⋮ Exponential mixing for stochastic model of two-dimensional second grade fluids ⋮ A large deviation principle for fluids of third grade ⋮ A superconvergent ultra-weak local discontinuous Galerkin method for nonlinear fourth-order boundary-value problems ⋮ Peaceman‐Rachford ADI scheme for the two dimensional flow of a second‐grade fluid ⋮ Global existence of solutions for the second grade fluid equations in a thin three-dimensional domain ⋮ Optimal decay rate for higher-order derivatives of the solution to the Lagrangian-averaged Navier-Stokes-\(\alpha\) equation in \(\mathbb{R}^3\) ⋮ Global existence of solutions for MHD third grade flow equations saturating porous medium ⋮ Optimal control of two dimensional third grade fluids ⋮ Martingale solution to equations for differential type fluids of grade two driven by random force of Lévy type ⋮ Anticipating stochastic equation of two-dimensional second grade fluids ⋮ Persistence property and asymptotic description for DGH equation with strong dissipation ⋮ Incompressible Euler as a limit of complex fluid models with Navier boundary conditions ⋮ Wave breaking phenomenon for DGH equation with strong dissipation ⋮ Uniform time of existence of the smooth solution for 3D Euler-α equations with periodic boundary conditions ⋮ Large deviations for stochastic models of two-dimensional second grade fluids driven by Lévy Noise ⋮ Moderate deviations for stochastic models of two-dimensional second grade fluids ⋮ From second grade fluids to the Navier-Stokes equations ⋮ A basic inequality for the Stokes operator related to the Navier boundary condition ⋮ Viscosity limit and deviations principles for a grade-two fluid driven by multiplicative noise ⋮ Moderate deviations for stochastic models of two-dimensional second-grade fluids driven by Lévy noise ⋮ Existence and uniqueness of solutions for the magnetohydrodynamic flow of a second grade fluid ⋮ Large deviations for stochastic models of two-dimensional second grade fluids ⋮ A non-Newtonian fluid with Navier boundary conditions ⋮ Vanishing \(\alpha\) and viscosity limits of second grade fluid equations for an expanding domain in the plane ⋮ Unnamed Item ⋮ Existence of a non-trivial solution for fourth-order elastic beam equations involving Lipschitz non-linearity ⋮ Multiplicity results forp(x)-biharmonic equations with Navier boundary conditions ⋮ Random dynamics of two-dimensional stochastic second grade fluids ⋮ Invariant measures for the two-dimensional averaged-Euler equations ⋮ Convergence of the 2D Euler-\(\alpha\) to Euler equations in the Dirichlet case: indifference to boundary layers
This page was built for publication: The second grade fluid and averaged Euler equations with Navier-slip boundary conditions
