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Volumn 32, Issue 3, 1997, Pages 563-620

The eckhaus criterion for convection roll solutions of the Oberbeck-Boussinesq equations

Author keywords

Eckhaus criterion; Oberbeck Boussinesq equations; Stability of roll solutions

Indexed keywords

BOUNDARY CONDITIONS; BOUNDARY VALUE PROBLEMS; DIFFERENTIAL EQUATIONS; HEAT CONVECTION; LAPLACE TRANSFORMS;

EID: 0031142775     PISSN: 00207462     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0020-7462(97)88306-0     Document Type: Article
Times cited : (16)

References (15)
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    • Schmitt, B.J.1    Von Wahl, W.2
  • 2
    • 0002094766 scopus 로고
    • The Boussinesq equations in terms of poloidal and toroidal fields and the mean flow
    • Lecture Notes
    • W. von Wahl, The Boussinesq equations in terms of poloidal and toroidal fields and the mean flow. Lecture Notes. Bayreuther Math. Schr. 40, 203-290 (1992).
    • (1992) Bayreuther Math. Schr. , vol.40 , pp. 203-290
    • Von Wahl, W.1
  • 3
    • 0041060288 scopus 로고
    • The Boussinesq equations in terms of poloidal and toroidal fields and the mean flow
    • Preprint. Univ. of Bayreuth
    • W. von Wahl, The Boussinesq equations in terms of poloidal and toroidal fields and the mean flow. Lecture Notes. Improved and corrected version. Preprint. Univ. of Bayreuth (1992).
    • (1992) Lecture Notes. Improved and Corrected Version
    • Von Wahl, W.1
  • 4
    • 0040466163 scopus 로고
    • On the origin of convection
    • V. I. Iudovich, On the origin of convection. J. Appl. Math. Mech. 30, 1193-1199 (1966).
    • (1966) J. Appl. Math. Mech. , vol.30 , pp. 1193-1199
    • Iudovich, V.I.1
  • 5
    • 0002963421 scopus 로고
    • Existence and nonuniqueness of rectanglar solutions of the Bénard problem
    • P. H. Rabinowitz, Existence and nonuniqueness of rectanglar solutions of the Bénard problem. Arch. Rational Mech. Anal. 29, 32-57 (1968).
    • (1968) Arch. Rational Mech. Anal. , vol.29 , pp. 32-57
    • Rabinowitz, P.H.1
  • 7
    • 0001753903 scopus 로고
    • Decomposition of solenoidal fields into poloidal fields, toroidal fields and the mean flow. Applications to the Boussinesq equations
    • J. G. Heywood, K. Masuda, R. Rautmann, and S. A. Solonnikov (eds), Springer, Berlin
    • B. J. Schmitt and W. von Wahl, Decomposition of solenoidal fields into poloidal fields, toroidal fields and the mean flow. Applications to the Boussinesq equations. The Navier-Stokes Equations II - Theory and Numerical Methods. Proceedings, Oberwolfach 1991, Lecture Notes in Mathematics, J. G. Heywood, K. Masuda, R. Rautmann, and S. A. Solonnikov (eds), 1530, 291-305. Springer, Berlin (1992).
    • (1992) The Navier-Stokes Equations II - Theory and Numerical Methods. Proceedings, Oberwolfach 1991, Lecture Notes in Mathematics , vol.1530 , pp. 291-305
    • Schmitt, B.J.1    Von Wahl, W.2
  • 10
    • 0012377373 scopus 로고    scopus 로고
    • The stability of roll solutions of the 2-D Swift-Hohenberg equation and the phase diffusion equation
    • M. Kuwamura, The stability of roll solutions of the 2-D Swift-Hohenberg equation and the phase diffusion equation. SIAM J. Math. Anal. 27, 1311-1335 (1996).
    • (1996) SIAM J. Math. Anal. , vol.27 , pp. 1311-1335
    • Kuwamura, M.1
  • 11
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    • Instabilities of convection rolls with stress-free boundaries near threshold
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    • Busse, F.H.1    Bolton, E.W.2
  • 15
    • 0001056317 scopus 로고
    • Bifurcation from simple eigenvalues
    • M. G. Crandall and P. H. Rabinowitz, Bifurcation from simple eigenvalues. J. Funct. Anal. 8, 321-340 (1971).
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    • Crandall, M.G.1    Rabinowitz, P.H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.