The Navier-Stokes Equations Theory and Numerical Methods

Open problems in the theory of the Navier-Stokes equations for viscous incompressible flow....Pages 1-22
Navier-Stokes equations from the point of view of the theory of ill-posed boundary value problems....Pages 23-39
On the statistical approach to the Navier-Stokes equations....Pages 40-48
Asymptotic expansions for a flow with a dynamic contact angle....Pages 49-59
Noncompact free boundary problems for the Navier-Stokes equations....Pages 60-72
On large time behavior of the total kinetic energy for weak solutions of the Navier-Stokes equations in unbounded domains....Pages 73-83
Strong solution for the Navier-Stokes flow in the half-space....Pages 84-86
The problem of momentumless flow for the Navier-Stokes equations....Pages 87-94
Decay and stability in L p for strong solutions of the Cauchyproblem for the Navier-Stokes equations....Pages 95-99
A Galerkin approximation for linear eigenvalue problems in two and three-dimensional boundary-layer flows....Pages 100-108
Symmetry-breaking effects of distant sidewalls in Rayleigh-Bénard convection....Pages 109-116
Applications of degenerate bifurcation equations to the taylor problem and the water wave problem....Pages 117-127
A uniqueness criterion for the solution of the stationary Navier-Stokes equations....Pages 128-133
On decay properties of the Stokes equations in exterior domains....Pages 134-151
On necessary and sufficient conditions for the solvability of the equations rot μ=γ and div μ=ε with μ vanishing on the boundary....Pages 152-157
On optimal constants in some inequalities....Pages 158-168
Boundary-value problems for Navier-Stokes equations of viscous gas....Pages 169-172
On the one-dimensional Navier-Stokes equations for compressible fluids....Pages 173-179
On the numerical analysis of the nonstationary Navier-Stokes equations....Pages 180-193
Numerical methods for the Navier-Stokes equations with an unknown boundary between two viscous incompressible fluids....Pages 194-200
Curl-conforming finite element methods for Navier-Stokes equations with non-standard boundary conditions in ℜ 3 ....Pages 201-218
On lagrangean methods and volterra integral equations of the first kind for incompressible Navier Stokes problems....Pages 219-228
Numerical simulation and experimental verification of cavity flows....Pages 229-235