The Navier-Stokes Equations II — Theory and Numerical Methods: Proceedings of a Conference held in Oberwolfach, Germany, August 18–24, 1991

Lenoid K. Antanovskii (auth.), John G. Heywood, Kyûya Masuda, Reimund Rautmann, Vsevolod A. Solonnikov (eds.)3540562613, 9783540562610, 0387562613

V.A. Solonnikov, A. Tani: Evolution free boundary problem for equations of motion of viscous compressible barotropic liquid.- W. Borchers, T. Miyakawa:On some coercive estimates for the Stokes problem in unbounded domains.- R. Farwig, H. Sohr: An approach to resolvent estimates for the Stokes equations in L(q)-spaces.- R. Rannacher: On Chorin’s projection method for the incompressible Navier-Stokes equations.- E. S}li, A. Ware: Analysis of the spectral Lagrange-Galerkin method for the Navier-Stokes equations.- G. Grubb: Initial value problems for the Navier-Stokes equations with Neumann conditions.- B.J. Schmitt, W. v.Wahl: Decomposition of solenoidal fields into poloidal fields, toroidal fields and the mean flow. Applications to the Boussinesq-equations.- O. Walsh: Eddy solutions of the Navier-Stokesequations.- W. Xie: On a three-norm inequality for the Stokes operator in nonsmooth domains.

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Table of contents :
Analyticity of a free boundary in plane quasi-steady flow of a liquid form subject to variable surface tension….Pages 1-16
On a free boundary problem for the stationary navier-stokes equations with a dynamic contact line….Pages 17-29
Evolution free boundary problem for equations of motion of viscous compressible barotropic liquid….Pages 30-55
Heat-conducting fluids with free surface in the case of slip-condition on the walls….Pages 56-70
On some coercive estimates for the Stokes problem in unbounded domains….Pages 71-84
The steady navier-stokes problem for low reynolds number viscous jets into a half space….Pages 85-96
An approach to resolvent estimates for the stokes equations in L q -spaces….Pages 97-110
On the oseen boundary-value problem in exterior domains….Pages 111-131
The exterior problem for the stationary Navier-Stokes equations: On the existence and regularity….Pages 132-145
Some results on the asymptotic behaviour of solutions to the Navier-Stokes equations….Pages 146-160
Approximation of weak solutions of the Navier-Stokes equations in unbounded domains….Pages 161-166
On chorin’s projection method for the incompressible navier-stokes equations….Pages 167-183
Analysis of the spectral lagrange-galerkin method for the navier-stokes equations….Pages 184-195
A fractional step method for regularized Navier-Stokes equations….Pages 196-209
Finite difference vorticity methods….Pages 210-225
The closure problem for the chain of the Friedman-Keller moment equations in the case of large reynolds numbers….Pages 226-245
A tiny step towards a theory of functional derivative equations —A strong solution of the space-time hopf equation….Pages 246-261
Initial value problems for the Navier-Stokes equations with neumann conditions….Pages 262-283
Estimates in C 2l,l for solution of a boundary value problem for the nonstationary stokes system with a surface tension in boundary condition….Pages 284-290
Decomposition of solenoidal fields into poloidal fields, toroidal fields and the mean flow. Applications to the boussinesq-equations….Pages 291-305
Eddy solutions of the navier-stokes equations….Pages 306-309
On a three-norm inequality for the stokes operator in nonsmooth domains….Pages 310-315