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Volumn 214, Issue 1, 1997, Pages 128-150

Vanishing viscosity in the barotropic β-plane

Author keywords

[No Author keywords available]

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; EQUATIONS OF MOTION; MATHEMATICAL MODELS; VISCOSITY;

EID: 0031240203     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1997.5596     Document Type: Article
Times cited : (18)

References (20)
  • 5
    • 0000221349 scopus 로고
    • Essai sur les mouvements plans d'un liquide visqueux que limitent des parois
    • Leray J. Essai sur les mouvements plans d'un liquide visqueux que limitent des parois. J. Math. Pures Appl. 13:1934;331-418.
    • (1934) J. Math. Pures Appl. , vol.13 , pp. 331-418
    • Leray, J.1
  • 6
    • 51249193194 scopus 로고
    • Essai sur le mouvement d'un liquide visqueux emplissant l'espace
    • Leray J. Essai 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
  • 7
    • 84944818416 scopus 로고
    • Über die Aufgangswertaufgabe für die hydrodynamischen Grundliechungen
    • Hopf E. Über die Aufgangswertaufgabe für die hydrodynamischen Grundliechungen. Math. Nachr. 4:1951;213-231.
    • (1951) Math. Nachr. , vol.4 , pp. 213-231
    • Hopf, E.1
  • 9
    • 0001754196 scopus 로고
    • Un théorème d'existence et d'unicité dans les équations de Navier-Stokes en dimension 2
    • Lions J. L., Prodi G. Un théorème d'existence et d'unicité dans les équations de Navier-Stokes en dimension 2. C. R. Acad. Sci. Paris. 248:1959;3519-3521.
    • (1959) C. R. Acad. Sci. Paris , vol.248 , pp. 3519-3521
    • Lions, J.L.1    Prodi, G.2
  • 10
    • 0001807443 scopus 로고
    • The initial value problem for the Navier-Stokes equations
    • R.E. Langer. Madison: Univ. of Wisconsin Press
    • Serrin J. The initial value problem for the Navier-Stokes equations. Langer R. E. Nonlinear Problems. 1963;69-98 Univ. of Wisconsin Press, Madison.
    • (1963) Nonlinear Problems , pp. 69-98
    • Serrin, J.1
  • 11
    • 0001052255 scopus 로고
    • Groups of diffeomorphisms and the motion of an incompressible fluid
    • Ebin D. G., Marsden J. Groups of diffeomorphisms and the motion of an incompressible fluid. Ann. of Math. (2). 92:1970;102-163.
    • (1970) Ann. of Math. (2) , vol.92 , pp. 102-163
    • Ebin, D.G.1    Marsden, J.2
  • 12
    • 34250514234 scopus 로고
    • Nonstationary plane flow of viscous and ideal fluids
    • McGrath F. J. Nonstationary plane flow of viscous and ideal fluids. Arch. Rational Mech. Anal. 27:1968;329-348.
    • (1968) Arch. Rational Mech. Anal. , vol.27 , pp. 329-348
    • McGrath, F.J.1
  • 13
    • 0001909305 scopus 로고
    • Vanishing viscosity in Cauchy's problem for hydrodynamics equations
    • Golovkin H. Vanishing viscosity in Cauchy's problem for hydrodynamics equations. Mem. Steklov Inst. 92:1966;33-53.
    • (1966) Mem. Steklov Inst. , vol.92 , pp. 33-53
    • Golovkin, H.1
  • 14
    • 0003872101 scopus 로고
    • Navier-Stokes Equations and Nonlinear Functional Analysis
    • Philadelphia: SIAM
    • Teman R. Navier-Stokes Equations and Nonlinear Functional Analysis. F Regional Conf. Ser. in Appl. Math. 1983;SIAM, Philadelphia.
    • (1983) F Regional Conf. Ser. in Appl. Math.
    • Teman, R.1
  • 18
    • 0000514910 scopus 로고
    • Inviscid limit for vortex patches
    • Constantin P., Wu J. Inviscid limit for vortex patches. Nonlinearity. 8:1995;735-742.
    • (1995) Nonlinearity , vol.8 , pp. 735-742
    • Constantin, P.1    Wu, J.2
  • 20


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.