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Volumn 5, Issue 4, 2006, Pages 907-918

Vorticity and regularity for flows under the Navier boundary condition

Author keywords

Navier Stokes; Slip boundary condition; Vorticity and regularity

Indexed keywords


EID: 33751175652     PISSN: 15340392     EISSN: 15535258     Source Type: Journal    
DOI: 10.3934/cpaa.2006.5.907     Document Type: Article
Times cited : (55)

References (23)
  • 1
    • 78149488189 scopus 로고
    • Boundary conditions of a naturally permeable wall
    • G.J. Beavers and D.D. Joseph, Boundary conditions of a naturally permeable wall, J.Fluid Mech., 30 (1967), 197-207.
    • (1967) J.Fluid Mech. , vol.30 , pp. 197-207
    • Beavers, G.J.1    Joseph, D.D.2
  • 2
    • 0009239109 scopus 로고
    • Les équations de Stokes et Navier-Stokes avec des conditions aux limites sur la pression
    • Nonlinear Partial Differential Equations and their Applications, Collège de France Seminar, Vol. 9
    • C. Begue, C. Conca, F. Murat and O. Pironneau Les équations de Stokes et Navier-Stokes avec des conditions aux limites sur la pression, in Nonlinear Partial Differential Equations and their Applications, Collège de France Seminar, Vol. 9, Pitman Research Notes in Mathematics Series, 181 (1988), 179-264.
    • (1988) Pitman Research Notes in Mathematics Series , vol.181 , pp. 179-264
    • Begue, C.1    Conca, C.2    Murat, F.3    Pironneau, O.4
  • 4
    • 33751180536 scopus 로고    scopus 로고
    • Vorticity and smoothness in viscous flows
    • Nonlinear Problems in Mathematical Physics and Related Topics, volume in Honor of O.A. Ladyzhenskaya, Kluwer Academic, London
    • H. Beirão da Veiga, Vorticity and smoothness in viscous flows, in Nonlinear Problems in Mathematical Physics and Related Topics, volume in Honor of O.A. Ladyzhenskaya, International Mathematical Series, Vol. 2, Kluwer Academic, London (2002).
    • (2002) International Mathematical Series , vol.2
    • Beirão Da Veiga, H.1
  • 5
    • 33646529801 scopus 로고    scopus 로고
    • Vorticity and smoothness in incompressible viscous flows
    • Wave Phenomena and Asymptotic Analysis, volume dedicated to Professors M. Ikawa and S. Miyatake, Kyoto University, Kyoto
    • H. Beirão da Veiga, Vorticity and smoothness in incompressible viscous flows, in Wave Phenomena and Asymptotic Analysis, volume dedicated to Professors M. Ikawa and S. Miyatake, RIMS Kokyuroku Series, Vol. 1315, Kyoto University, Kyoto (2003).
    • (2003) RIMS Kokyuroku Series , vol.1315
    • Beirão Da Veiga, H.1
  • 7
    • 33751178794 scopus 로고    scopus 로고
    • Vorticity and regularity for viscous incompressible flows under the Dirichlet boundary condition. Results and open problems
    • H. Beirão da Veiga, Vorticity and regularity for viscous incompressible flows under the Dirichlet boundary condition. Results and open problems, J. Math. Fluid Mech., in press.
    • J. Math. Fluid Mech., in Press
    • Beirão Da Veiga, H.1
  • 8
    • 0013085358 scopus 로고    scopus 로고
    • On the regularizing effect of the vorticity direction in incompressible viscous flows
    • H. Beirão da Veiga and L. C. Berselli, On the regularizing effect of the vorticity direction in incompressible viscous flows, Differential Integral Equations, 15 (2002), 345-356.
    • (2002) Differential Integral Equations , vol.15 , pp. 345-356
    • Beirão Da Veiga, H.1    Berselli, L.C.2
  • 9
    • 0013297186 scopus 로고    scopus 로고
    • Regularity of solutions to the Navier-Stokes equation
    • D. Chae and Hi-Jun Choe, Regularity of solutions to the Navier-Stokes equation, Electronic J. Diff. Eq., (1) 5 (1999), 1-7.
    • (1999) Electronic J. Diff. Eq., (1) , vol.5 , pp. 1-7
    • Chae, D.1    Choe, H.-J.2
  • 10
    • 33751171520 scopus 로고    scopus 로고
    • On the regularity conditions for the Navier-Stokes and related equations
    • to appear
    • D. Chae, On the regularity conditions for the Navier-Stokes and related equations, Revista Mat. Iberoamericana, to appear.
    • Revista Mat. Iberoamericana
    • Chae, D.1
  • 11
    • 0002435941 scopus 로고
    • On the application of the homogenization theory to a class of problems arising in fluid mechanics
    • C. Conca, On the application of the homogenization theory to a class of problems arising in fluid mechanics, J. Math. Pures Appl., 64-(1985), 31-75.
    • (1985) J. Math. Pures Appl. , vol.64 , pp. 31-75
    • Conca, C.1
  • 12
    • 0028388187 scopus 로고
    • Geometric statistics in turbulence
    • P. Constantin, Geometric statistics in turbulence, SIAM Rev., (1) 36 (1994), 73-98.
    • (1994) SIAM Rev., (1) , vol.36 , pp. 73-98
    • Constantin, P.1
  • 13
    • 0000646280 scopus 로고
    • Direction of vorticity and the problem of global regularity for the Navier-Stokes equations
    • P. Constantin and C. Fefferman, Direction of vorticity and the problem of global regularity for the Navier-Stokes equations, Indiana Univ. Math. J., (3) 42 (1993), 775-789.
    • (1993) Indiana Univ. Math. J., (3) , vol.42 , pp. 775-789
    • Constantin, P.1    Fefferman, C.2
  • 14
    • 0034403753 scopus 로고    scopus 로고
    • Approximation of the larger eddies in fluid motion: A model for space filtered flow
    • G.P. Galdi and W. Layton, Approximation of the larger eddies in fluid motion: A model for space filtered flow, Math. Models and Meth. in Appl. Sciences, 3 (2000), 343-350.
    • (2000) Math. Models and Meth. in Appl. Sciences , vol.3 , pp. 343-350
    • Galdi, G.P.1    Layton, W.2
  • 15
    • 0037107545 scopus 로고    scopus 로고
    • Slip with friction and penetration with resistence boundary conditions for the Navier-Stokes equations-numerical tests and aspects of the implementations
    • V. John, Slip with friction and penetration with resistence boundary conditions for the Navier-Stokes equations-numerical tests and aspects of the implementations, J. Comp. Appl. Math., 147 (2002), 287-300.
    • (2002) J. Comp. Appl. Math. , vol.147 , pp. 287-300
    • John, V.1
  • 16
    • 51249193194 scopus 로고
    • Sur le mouvement d'un liquide visqueux emplissant l'espace
    • J. Leray, Sur le mouvement d'un liquide visqueux emplissant l'espace, Acta Math., 63 (1934), 193-248.
    • (1934) Acta Math. , vol.63 , pp. 193-248
    • Leray, J.1
  • 17
    • 0005157774 scopus 로고    scopus 로고
    • Discretization of the Navier-Stokes equations with slip boundary condition
    • A. Liakos, Discretization of the Navier-Stokes equations with slip boundary condition, Num. Meth. for Partial Diff. Eq., 1 (2001), 1-18.
    • (2001) Num. Meth. for Partial Diff. Eq. , vol.1 , pp. 1-18
    • Liakos, A.1
  • 19
    • 0038538865 scopus 로고
    • Existence, uniqueness and regularity of solutions of the equations of a turbulence model for incompressible fluids
    • C. Pare's, Existence, uniqueness and regularity of solutions of the equations of a turbulence model for incompressible fluids, Appl. Analysis, 43 (1992), 245-296.
    • (1992) Appl. Analysis , vol.43 , pp. 245-296
    • Pare's, C.1
  • 20
    • 0001509669 scopus 로고
    • Separating flow near a staic contact line: Slip at a wall and shape of a free surface
    • J. Silliman and L.E. Scriven, Separating flow near a staic contact line: slip at a wall and shape of a free surface, J.Comput. Physics, 34 (1980), 287-313.
    • (1980) J.Comput. Physics , vol.34 , pp. 287-313
    • Silliman, J.1    Scriven, L.E.2
  • 21
    • 0000375589 scopus 로고
    • On a boundary value problem for a stationary system of Navier-Stokes equations
    • V.A. Solonnikov and V.E. Ščadilov, On a boundary value problem for a stationary system of Navier-Stokes equations, Proc. Steklov Inst. Math.,125 (1973), 186-199.
    • (1973) Proc. Steklov Inst. Math. , vol.125 , pp. 186-199
    • Solonnikov, V.A.1    Ščadilov, V.E.2
  • 23
    • 0001548158 scopus 로고
    • Finite element approximation of incompressible Navier-Stokes equations with slip boundary conditions
    • R. Verfurth, Finite element approximation of incompressible Navier-Stokes equations with slip boundary conditions, Numer. Math., 50 (1987), 697-721.
    • (1987) Numer. Math. , vol.50 , pp. 697-721
    • Verfurth, R.1


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