On the existence of the pressure for solutions of the variational Navier-Stokes equations

DOI10.1007/s000210050010zbMath0961.35107OpenAlexW2017589226MaRDI QIDQ1969107

Simon, Jacques

Publication date: 15 May 2001

Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s000210050010

zbMATH Keywords

Navier-Stokes equationsnon-existence of the associated pressure solution

Mathematics Subject Classification ID

Related Items (27)

Sobolev Stability of Prandtl Expansions for the Steady Navier–Stokes Equations ⋮ A class of variational-hemivariational inequalities for Bingham type fluids ⋮ Uniform attractors for non-autonomous motion equations of viscoelastic medium ⋮ Almost periodic homogenization of a generalized Ladyzhenskaya model for incompressible viscous flow ⋮ Incompressible viscous Newtonian flow in a fissured medium of general deterministic type ⋮ A uniqueness result for 3D incompressible fluid-rigid body interaction problem ⋮ A pressure associated with a weak solution to the Navier-Stokes equations with Navier's boundary conditions ⋮ On the identification \(H=H'\) in the Lions theorem and a related inaccuracy ⋮ Homogenization of 2D Cahn-Hilliard-Navier-Stokes system ⋮ Regularity of the pressure function for weak solutions of the nonstationary Navier-Stokes equations ⋮ Unsteady 3D-Navier–Stokes system with Tresca’s friction law ⋮ On the control of viscoelastic Jeffreys fluids ⋮ Non-isothermal Navier-Stokes system with mixed boundary conditions and friction law: uniqueness and regularity properties ⋮ Attractors and finite-dimensional behaviour in the 2D Navier-Stokes equations ⋮ ON THE STOCHASTIC 3D-LAGRANGIAN AVERAGED NAVIER–STOKES α-MODEL WITH FINITE DELAY ⋮ Optimal control of a coefficient in modification Navier-Stokes equations ⋮ The interior regularity of pressure associated with a weak solution to the Navier-Stokes equations with the Navier-type boundary conditions ⋮ Global well posedness for the ghost effect system ⋮ Estimates of solutions to the Navier-Stokes equations with rapidly oscillating data ⋮ Maximally dissipative solutions for incompressible fluid dynamics ⋮ A hyperbolic system and the cost of the null controllability for the Stokes system ⋮ On the unsteady Darcy–Forchheimer–Brinkman equation in local and nonlocal tumor growth models ⋮ Vorticity and stream function formulations for the 2D Navier-Stokes equations in a bounded domain ⋮ Feedback stabilization of the two-dimensional Navier-Stokes equations by value function approximation ⋮ Weak compactness property of simplified nematic liquid crystal flows in dimension two ⋮ Homogenization in algebras with mean value ⋮ Weak and very weak solutions to the viscous Cahn-Hilliard-Oberbeck-Boussinesq phase-field system on two-dimensional bounded domains

This page was built for publication: On the existence of the pressure for solutions of the variational Navier-Stokes equations