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Volumn 7, Issue SUPPL., 2005, Pages

Dynamical properties of spatially non-decaying 2D navier-stokes flows with kolmogorov forcing in an infinite strip

Author keywords

2D Navier Stokes problem; Helmholtz projection; Riesz operators; Spatially non decaying initial data

Indexed keywords

BIFURCATION (MATHEMATICS); MATHEMATICAL OPERATORS; NAVIER STOKES EQUATIONS; PROBLEM SOLVING; SET THEORY; VISCOSITY;

EID: 17144367351     PISSN: 14226928     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00021-004-0131-9     Document Type: Article
Times cited : (15)

References (25)
  • 1
    • 17144382090 scopus 로고
    • The analysis of instabilities of the generalised Kolmogorov flows
    • Preprint KIAM No. 126, Moscow
    • A. L. AFENDIKOV, The analysis of instabilities of the generalised Kolmogorov flows, Preprint KIAM No. 126, Keldysh Inst. Appl. Math. Acad.Sci., Moscow 1995, 1-30.
    • (1995) Keldysh Inst. Appl. Math. Acad.Sci. , pp. 1-30
    • Afendikov, A.L.1
  • 2
    • 0348249833 scopus 로고
    • Bifurcation in the presence of the symmetry group and loss of stability of some plane viscous fluid flows
    • A. L. AFENDIKOV and K. BABENKO, Bifurcation in the presence of the symmetry group and loss of stability of some plane viscous fluid flows, Soviet Math. Dokl. 33 (3) (1986), 742-747.
    • (1986) Soviet Math. Dokl. , vol.33 , Issue.3 , pp. 742-747
    • Afendikov, A.L.1    Babenko, K.2
  • 3
    • 22444455346 scopus 로고    scopus 로고
    • Spatial dynamics approach to Kolmogorov flows on plane torus
    • A. L. AFENDIKOV and K. KIRCHGÄSSNER, Spatial dynamics approach to Kolmogorov flows on plane torus, Zeits. angew. Math. Mech., 78 (1998) (Supl. 1), S211-S212.
    • (1998) Zeits. Angew. Math. Mech. , vol.78 , Issue.SUPL. 1
    • Afendikov, A.L.1    Kirchgässner, K.2
  • 4
    • 21844484628 scopus 로고
    • Bifurcation of the Poiseuille flow between parallel plates: Three-dimensional solutions with large spanwise wavelength
    • A. L. AFENDIKOV and A. MIELKE. Bifurcation of the Poiseuille flow between parallel plates: three-dimensional solutions with large spanwise wavelength, Arch. Rat. Mech. Analysis 129 (1995), 101-127.
    • (1995) Arch. Rat. Mech. Analysis , vol.129 , pp. 101-127
    • Afendikov, A.L.1    Mielke, A.2
  • 5
    • 0035530955 scopus 로고    scopus 로고
    • Multi-pulse solutions to the Navier-Stokes problem between parallel plates
    • A. L. AFENDIKOV and A. MIELKE, Multi-pulse solutions to the Navier-Stokes problem between parallel plates, Zeits. angew. Math. Physik (ZAMP) 51 (2001), 79-101.
    • (2001) Zeits. Angew. Math. Physik (ZAMP) , vol.51 , pp. 79-101
    • Afendikov, A.L.1    Mielke, A.2
  • 7
    • 0011360475 scopus 로고    scopus 로고
    • On the strong solvability of the Navier-Stokes equations
    • H. AMANN, On the strong solvability of the Navier-Stokes equations, J. Math. Fluid Mech. (JMFM) 2 (2000), 16-98.
    • (2000) J. Math. Fluid Mech. (JMFM) , vol.2 , pp. 16-98
    • Amann, H.1
  • 8
    • 0003356898 scopus 로고    scopus 로고
    • Topological methods in hydrodynamics
    • Springer-Verlag, New-York
    • V. I. ARNOLD and B. KHESIN, Topological methods in hydrodynamics, Applied Math. Sci. 125, Springer-Verlag, New-York, 1998.
    • (1998) Applied Math. Sci. , vol.125
    • Arnold, V.I.1    Khesin, B.2
  • 9
    • 0024683327 scopus 로고
    • Blow up of unsteady two-dimensional Euler and Navier-Stokes solutions having stagnation-point form
    • S. CHILDRES, G. R. IERLEY, E. A. SPIEGEL and W. R. YOUNG, Blow up of unsteady two-dimensional Euler and Navier-Stokes solutions having stagnation-point form, J. Fluid Mech. 203 (1989), 1-22.
    • (1989) J. Fluid Mech. , vol.203 , pp. 1-22
    • Childres, S.1    Ierley, G.R.2    Spiegel, E.A.3    Young, W.R.4
  • 10
    • 0003360134 scopus 로고
    • The Couette-Taylor problem
    • Springer-Verlag, New-York
    • P. CHOSSAT and G. IOOSS, The Couette-Taylor problem, Applied Math. Sci. 102, Springer-Verlag, New-York, 1994.
    • (1994) Applied Math. Sci. , vol.102
    • Chossat, P.1    Iooss, G.2
  • 12
    • 0344147558 scopus 로고    scopus 로고
    • New results in mathematical and statistical hydrodynamics
    • W. E and YA. SINAI, New results in mathematical and statistical hydrodynamics (Russian), Uspekhi Mat. Nauk 55 (4) (2000), 25-58; translation in Russian Math. Surveys 55, 4 (2000), 635-666.
    • (2000) Uspekhi Mat. Nauk , vol.55 , Issue.4 , pp. 25-58
    • E., W.1    Sinai, Y.A.2
  • 13
    • 0034560081 scopus 로고    scopus 로고
    • translation in
    • W. E and YA. SINAI, New results in mathesmatical and statistical hydrodynamics (Russian), Uspekhi Mat. Nauk 55 (4) (2000), 25-58; translation in Russian Math. Surveys 55, 4 (2000), 635-666.
    • (2000) Russian Math. Surveys , vol.55 , Issue.4 , pp. 635-666
  • 15
    • 0028160298 scopus 로고
    • Negative eddy viscosity in isotropically forced two-dimensional flow: Linear and nonlinear dynamics
    • S. GAMA, M. VERGASSOLA and U. FRISCH, Negative eddy viscosity in isotropically forced two-dimensional flow: linear and nonlinear dynamics, J. Fluid Mech. 260 (1994), 95-126.
    • (1994) J. Fluid Mech. , vol.260 , pp. 95-126
    • Gama, S.1    Vergassola, M.2    Frisch, U.3
  • 16
    • 0141527822 scopus 로고    scopus 로고
    • Global existence of two-dimensional Navier-Stokes flow with nondecaying initial velocity
    • Y. GIGA, S. MATSUI and O. SAWADA, Global existence of two-dimensional Navier-Stokes flow with nondecaying initial velocity, J. Math. Fluid Mech. 3 (3) (2001), 302-315.
    • (2001) J. Math. Fluid Mech. , vol.3 , Issue.3 , pp. 302-315
    • Giga, Y.1    Matsui, S.2    Sawada, O.3
  • 17
    • 0004427018 scopus 로고    scopus 로고
    • On the Cauchy problem for the Navier-Stokes equations with nondecaying initial data
    • Advances in Fluid Dynamics, Aracne, Rome
    • Y. GIGA, K. INUI and S. MATSUI, On the Cauchy problem for the Navier-Stokes equations with nondecaying initial data, in: Advances in Fluid Dynamics, Quad. Mat. 4, Aracne, Rome, 1999, 27-68.
    • (1999) Quad. Mat. , vol.4 , pp. 27-68
    • Giga, Y.1    Inui, K.2    Matsui, S.3
  • 18
    • 0035423746 scopus 로고    scopus 로고
    • Remarks on the uniqueness of bounded solutions for the Navier-Stokes equations
    • Y. GIGA, K. INUI, J. KATO and S. MATSUI, Remarks on the uniqueness of bounded solutions for the Navier-Stokes equations, Nonlinear Analysis 47 (2001), 4151-4156.
    • (2001) Nonlinear Analysis , vol.47 , pp. 4151-4156
    • Giga, Y.1    Inui, K.2    Kato, J.3    Matsui, S.4
  • 19
    • 0000677116 scopus 로고
    • Theory of the steady Ginzburg-Landau equation in hydrodynamic stability problems
    • G. IOOSS, A. MIELKE and Y. DEMAY, Theory of the steady Ginzburg-Landau equation in hydrodynamic stability problems, Eur. J. Mech. B/Fluids 8 n 3 (1989), 229-268.
    • (1989) Eur. J. Mech. B/Fluids , vol.8 , Issue.3 , pp. 229-268
    • Iooss, G.1    Mielke, A.2    Demay, Y.3
  • 20
    • 0000384172 scopus 로고
    • An example of the loss of stability of laminar viscous incompressible fluid flow and the birth of the secondary stationary or periodic flows
    • V. IUDOVICH, An example of the loss of stability of laminar viscous incompressible fluid flow and the birth of the secondary stationary or periodic flows (Russian), Prikl. Math. Mech. 29 (1965), 453-467.
    • (1965) Prikl. Math. Mech. , vol.29 , pp. 453-467
    • Iudovich, V.1
  • 21
    • 33746011979 scopus 로고    scopus 로고
    • Recent developments in the Navier-Stokes problem
    • CRC Press
    • P. G. LEMARlE-RIEUSSET, Recent developments in the Navier-Stokes problem, Research Notes in Math. 341, CRC Press, 2002.
    • (2002) Research Notes in Math. , vol.341
    • Lemarle-Rieusset, P.G.1
  • 22
    • 0001491795 scopus 로고
    • Investigation of stability of the stationary solution of the problem of the motion of some plane incompressible fluid flow
    • L. MESHALKIN and J. SINAI, Investigation of stability of the stationary solution of the problem of the motion of some plane incompressible fluid flow (Russian), Prikl. Math. Mech. 25 (1961), 1140-1143.
    • (1961) Prikl. Math. Mech. , vol.25 , pp. 1140-1143
    • Meshalkin, L.1    Sinai, J.2
  • 23
    • 0033548773 scopus 로고    scopus 로고
    • Global existence results for pattern formation processes in infinite cylindrical domains. Applications to 3D Navier-Stokes problem
    • G. SCHNEIDER, Global existence results for pattern formation processes in infinite cylindrical domains. Applications to 3D Navier-Stokes problem, J. Mathem. Pure et Appliquée 78 (1999), 265-312.
    • (1999) J. Mathem. Pure et Appliquée , vol.78 , pp. 265-312
    • Schneider, G.1
  • 24
    • 0004136765 scopus 로고
    • Princeton Univ. Press, New Jersey
    • E. M. STEIN, Harmonic analysis, Princeton Univ. Press, New Jersey, 1993.
    • (1993) Harmonic Analysis
    • Stein, E.M.1
  • 25
    • 0002585506 scopus 로고
    • Nonlinear Euler partial differential equations: Singularities in their solution
    • D. J. Benney, F. H. Shu, C. Yuan (eds.), World Scientific Publishing Co., Singapore
    • J. T. STUART, Nonlinear Euler partial differential equations: singularities in their solution, in: Symposium to Honor C. C. Lin, D. J. Benney, F. H. Shu, C. Yuan (eds.), 81-95, World Scientific Publishing Co., Singapore 1988.
    • (1988) Symposium to Honor C. C. Lin , pp. 81-95
    • Stuart, J.T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.