The Navier-Stokes Equations II - Theory and Numerical Methods

1. Front Matter

   Pages I-IX

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2. Analyticity of a free boundary in plane quasi-steady flow of a liquid form subject to variable surface tension

   • Lenoid K. Antanovskii

   Pages 1-16

3. On a free boundary problem for the stationary navier-stokes equations with a dynamic contact line

   • Jürgen Socolowsky

   Pages 17-29

4. Evolution free boundary problem for equations of motion of viscous compressible barotropic liquid

   • V. A. Solonnikov, A. Tani

   Pages 30-55

5. Heat-conducting fluids with free surface in the case of slip-condition on the walls

   • Michael Wolff

   Pages 56-70

6. On some coercive estimates for the Stokes problem in unbounded domains

   • Wolfgang Borchers, Tetsuro Miyakawa

   Pages 71-84

7. The steady navier-stokes problem for low reynolds number viscous jets into a half space

   • Huakang Chang

   Pages 85-96

8. An approach to resolvent estimates for the stokes equations in L ^q-spaces

   • Reinhard Farwig, Hermann Sohr

   Pages 97-110

9. On the oseen boundary-value problem in exterior domains

   • Giovanni P. Galdi

   Pages 111-131

10. The exterior problem for the stationary Navier-Stokes equations: On the existence and regularity

    • Rodolfo Salvi

    Pages 132-145

11. Some results on the asymptotic behaviour of solutions to the Navier-Stokes equations

    • Maria E. Schonbek

    Pages 146-160

12. Approximation of weak solutions of the Navier-Stokes equations in unbounded domains

    • Michael Wiegner

    Pages 161-166

13. On chorin's projection method for the incompressible navier-stokes equations

    • Rolf Rannacher

    Pages 167-183

14. Analysis of the spectral lagrange-galerkin method for the navier-stokes equations

    • Endre Süli, Antony F. Ware

    Pages 184-195

15. A fractional step method for regularized Navier-Stokes equations

    • Werner Varnhorn

    Pages 196-209

16. Finite difference vorticity methods

    • Brian T. R. Wetton

    Pages 210-225

17. The closure problem for the chain of the Friedman-Keller moment equations in the case of large reynolds numbers

    • A. V. Fursikov

    Pages 226-245

18. A tiny step towards a theory of functional derivative equations —A strong solution of the space-time hopf equation

    • Atsushi Inoue

    Pages 246-261

19. Initial value problems for the Navier-Stokes equations with neumann conditions

    • Gerd Grubb

    Pages 262-283

20. Estimates in C ^2l,l for solution of a boundary value problem for the nonstationary stokes system with a surface tension in boundary condition

    • Il'ia Mogilevskii

    Pages 284-290

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.

• Navier-Stokes equation
• calculus
• equations
• fluid mee
• navier-stokes equations
• numerical methods
• partial differential equations
• fluid- and aerodynamics

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