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Volumn 237, Issue 10-12, 2008, Pages 1324-1333

Vanishing viscosity limit for incompressible flow inside a rotating circle

Author keywords

Boundary layer; Circular symmetry; Euler and Navier Stokes; Rotating boundary; Vanishing viscosity limit

Indexed keywords

ANGULAR VELOCITY; BOUNDARY CONDITIONS; NAVIER STOKES EQUATIONS; VISCOSITY;

EID: 44649120782     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physd.2008.03.009     Document Type: Article
Times cited : (73)

References (24)
  • 1
    • 44649173251 scopus 로고    scopus 로고
    • K. Asano, Zero viscosity limit of incompressible Navier-Stokes equations I, II, unpublished preprints, 1988
    • K. Asano, Zero viscosity limit of incompressible Navier-Stokes equations I, II, unpublished preprints, 1988
  • 2
    • 0036872955 scopus 로고    scopus 로고
    • The zero-viscosity limit of the 2D Navier-Stokes equations
    • Bona J., and Wu J. The zero-viscosity limit of the 2D Navier-Stokes equations. Stud. Appl. Math. 109 4 (2002) 265-278
    • (2002) Stud. Appl. Math. , vol.109 , Issue.4 , pp. 265-278
    • Bona, J.1    Wu, J.2
  • 3
    • 0346997444 scopus 로고    scopus 로고
    • On the vanishing viscosity limit for the 2D incompressible Navier-Stokes equations with friction-type boundary conditions
    • Clopeau T., Mikelic A., and Robert R. On the vanishing viscosity limit for the 2D incompressible Navier-Stokes equations with friction-type boundary conditions. Nonlinearity 11 (1998) 1625-1636
    • (1998) Nonlinearity , vol.11 , pp. 1625-1636
    • Clopeau, T.1    Mikelic, A.2    Robert, R.3
  • 4
    • 84878507870 scopus 로고    scopus 로고
    • A Wiley-Interscience Publication, New York
    • Folland G. Real Analysis. Modern Techniques and their Applications. second ed. Pure and Applied Mathematics (New York) (1999), A Wiley-Interscience Publication, New York
    • (1999) Pure and Applied Mathematics (New York)
    • Folland, G.1
  • 5
    • 0001052077 scopus 로고    scopus 로고
    • Ekman layers of rotating fluids, the case of well prepared initial data
    • Grenier E., and Masmoudi N. Ekman layers of rotating fluids, the case of well prepared initial data. Comm. Partial Differential Equations 22 5-6 (1997) 953-975
    • (1997) Comm. Partial Differential Equations , vol.22 , Issue.5-6 , pp. 953-975
    • Grenier, E.1    Masmoudi, N.2
  • 6
    • 0003451932 scopus 로고
    • Springer-Verlag, Berlin, New York
    • Henry D. Geometric Theory of Semilinear Parabolic Equations. Lecture Notes in Mathematics vol. 840 (1981), Springer-Verlag, Berlin, New York
    • (1981) Lecture Notes in Mathematics , vol.840
    • Henry, D.1
  • 7
    • 33645059441 scopus 로고    scopus 로고
    • Inviscid limits for the Navier-Stokes equations with Navier friction boundary conditions
    • Iftimie D., and Planas G. Inviscid limits for the Navier-Stokes equations with Navier friction boundary conditions. Nonlinearity 19 (2006) 899-918
    • (2006) Nonlinearity , vol.19 , pp. 899-918
    • Iftimie, D.1    Planas, G.2
  • 8
    • 0040652193 scopus 로고
    • Remarks on zero viscosity limit for nonstationary Navier-Stokes flows with boundary
    • Chern S.S. (Ed), MSRI, Berkeley
    • Kato T. Remarks on zero viscosity limit for nonstationary Navier-Stokes flows with boundary. In: Chern S.S. (Ed). Seminar on Nonlinear PDE (1984), MSRI, Berkeley
    • (1984) Seminar on Nonlinear PDE
    • Kato, T.1
  • 9
    • 35448992401 scopus 로고    scopus 로고
    • On Kato's conditions for vanishing viscosity
    • Kelliher J. On Kato's conditions for vanishing viscosity. Indiana Univ. Math. J. 56 4 (2007) 1711-1721
    • (2007) Indiana Univ. Math. J. , vol.56 , Issue.4 , pp. 1711-1721
    • Kelliher, J.1
  • 10
    • 44649144015 scopus 로고    scopus 로고
    • J. Kelliher, On the vanishing viscosity limit in a disk, preprint, 2007
    • J. Kelliher, On the vanishing viscosity limit in a disk, preprint, 2007
  • 12
    • 44649158458 scopus 로고    scopus 로고
    • M. Lopes Filho, A. Mazzucato, H. Nussenzveig Lopes, M. Taylor, Vanishing viscosity limits and boundary layers for circularly symmetric 2D flows, Bull. Braz. Math. Soc. (in press)
    • M. Lopes Filho, A. Mazzucato, H. Nussenzveig Lopes, M. Taylor, Vanishing viscosity limits and boundary layers for circularly symmetric 2D flows, Bull. Braz. Math. Soc. (in press)
  • 13
    • 22544438444 scopus 로고    scopus 로고
    • On the inviscid limit for two-dimensional incompressible flow with Navier friction condition
    • Lopes Filho M., Nussenzveig Lopes H., and Planas G. On the inviscid limit for two-dimensional incompressible flow with Navier friction condition. SIAM J. Appl. Math. 36 4 (2005) 1130-1141
    • (2005) SIAM J. Appl. Math. , vol.36 , Issue.4 , pp. 1130-1141
    • Lopes Filho, M.1    Nussenzveig Lopes, H.2    Planas, G.3
  • 14
    • 0033426837 scopus 로고    scopus 로고
    • Convergence of the vanishing viscosity approximation for superpositions of confined eddies
    • Lopes Filho M., Nussenzveig Lopes H., and Zheng Y. Convergence of the vanishing viscosity approximation for superpositions of confined eddies. Comm. Math. Phys. 201 2 (1999) 291-304
    • (1999) Comm. Math. Phys. , vol.201 , Issue.2 , pp. 291-304
    • Lopes Filho, M.1    Nussenzveig Lopes, H.2    Zheng, Y.3
  • 15
    • 0032382509 scopus 로고    scopus 로고
    • The Euler limit of the Navier-Stokes equations and rotating fluids with boundary
    • Masmoudi N. The Euler limit of the Navier-Stokes equations and rotating fluids with boundary. Arch. Ration. Mech. Anal. 142 4 (1998) 375-394
    • (1998) Arch. Ration. Mech. Anal. , vol.142 , Issue.4 , pp. 375-394
    • Masmoudi, N.1
  • 16
    • 0010878123 scopus 로고
    • Example of zero viscosity limit for two-dimensional nonstationary Navier-Stokes flows with boundary
    • Matsui S. Example of zero viscosity limit for two-dimensional nonstationary Navier-Stokes flows with boundary. Japan J. Indust. Appl. Math. 11 1 (1994) 155-170
    • (1994) Japan J. Indust. Appl. Math. , vol.11 , Issue.1 , pp. 155-170
    • Matsui, S.1
  • 17
    • 29344431971 scopus 로고
    • Springer-Verlag, New York
    • Pazy A. Semigroups of Linear Operators and Applications to Partial Differential Equations. Applied Mathematical Sciences vol. 44 (1983), Springer-Verlag, New York
    • (1983) Applied Mathematical Sciences , vol.44
    • Pazy, A.1
  • 18
    • 0003352781 scopus 로고
    • Methods of modern mathematical physics. II
    • Academic Press, New York, London
    • Reed M., and Simon B. Methods of modern mathematical physics. II. Fourier Analysis, Self-Adjointness (1975), Academic Press, New York, London
    • (1975) Fourier Analysis, Self-Adjointness
    • Reed, M.1    Simon, B.2
  • 19
    • 0032371860 scopus 로고    scopus 로고
    • Zero viscosity limit for analytic solutions of the Navier-Stokes equation on a half-space I, existence for Euler and Prandtl equations
    • Sammartino M., and Caflisch R. Zero viscosity limit for analytic solutions of the Navier-Stokes equation on a half-space I, existence for Euler and Prandtl equations. Comm. Math. Phys. 192 2 (1998) 433-461
    • (1998) Comm. Math. Phys. , vol.192 , Issue.2 , pp. 433-461
    • Sammartino, M.1    Caflisch, R.2
  • 20
    • 84875267000 scopus 로고    scopus 로고
    • Zero viscosity limit for analytic solutions of the Navier-Stokes equation on a half-space II, construction of the Navier-Stokes solution
    • Sammartino M., and Caflisch R. Zero viscosity limit for analytic solutions of the Navier-Stokes equation on a half-space II, construction of the Navier-Stokes solution. Comm. Math. Phys. 192 2 (1998) 463-491
    • (1998) Comm. Math. Phys. , vol.192 , Issue.2 , pp. 463-491
    • Sammartino, M.1    Caflisch, R.2
  • 22
    • 85042743964 scopus 로고    scopus 로고
    • On the behavior of the solutions of the Navier-Stokes equations at vanishing viscosity
    • (Vol. dedicated to the memory of E. De Giorgi)
    • Temam R., and Wang X. On the behavior of the solutions of the Navier-Stokes equations at vanishing viscosity. Annali della Scuola Norm. Sup. Pisa Serie IV XXV (1998) 807-828 (Vol. dedicated to the memory of E. De Giorgi)
    • (1998) Annali della Scuola Norm. Sup. Pisa Serie IV XXV , pp. 807-828
    • Temam, R.1    Wang, X.2
  • 23
    • 0036496598 scopus 로고    scopus 로고
    • Boundary layer associated with the incompressible Navier-Stokes equations: The non-characteristic boundary case
    • Temam R., and Wang X. Boundary layer associated with the incompressible Navier-Stokes equations: The non-characteristic boundary case. J. Differential Equations 179 (2002) 647-686
    • (2002) J. Differential Equations , vol.179 , pp. 647-686
    • Temam, R.1    Wang, X.2
  • 24
    • 0039841935 scopus 로고    scopus 로고
    • A Kato type theorem on zero viscosity limit of Navier-Stokes flows
    • Wang X. A Kato type theorem on zero viscosity limit of Navier-Stokes flows. Indiana Univ. Math. J. 50 1 (2001) 223-241
    • (2001) Indiana Univ. Math. J. , vol.50 , Issue.1 , pp. 223-241
    • Wang, X.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.