These proceedings contain original (refereed) research articles by specialists from many countries, on a wide variety of aspects of Navier-Stokes equations. Additionally, 2 survey articles intended for a general readership are included: one surveys the present state of the subject via open problems, and the other deals with the interplay between theory and numerical analysis.

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

These proceedings contain original (refereed) research articles by specialists from many countries, on a wide variety of aspects of Navier-Stokes equations. Additionally, 2 survey articles intended for a general readership are included: one surveys the present state of the subject via open problems, and the other deals with the interplay between theory and numerical analysis.

These proceedings contain original (refereed) research articles by specialists from many countries, on a wide variety of aspects of Navier-Stokes equations. Additionally, 2 survey articles intended for a general readership are included: one surveys the present state of the subject via open problems, and the other deals with the interplay between theory and numerical analysis.

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

These proceedings contain original (refereed) research articles by specialists from many countries, on a wide variety of aspects of Navier-Stokes equations. Additionally, 2 survey articles intended for a general readership are included: one surveys the present state of the subject via open problems, and the other deals with the interplay between theory and numerical analysis.