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Volumn 156, Issue 1, 1999, Pages 1-17

Generic solvability of the axisymmetric 3-D Euler equations and the 2-D Boussinesq equations

Author keywords

Euler's equations; Boussinesq equations; generic solvability

Indexed keywords


EID: 0033587467     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1006/jdeq.1998.3607     Document Type: Article
Times cited : (33)

References (13)
  • 1
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    • (1984) Comm. Math. Phys. , vol.94 , pp. 61-66
    • Beale J., T.1    Kato, T.2    Majda, A.3
  • 2
    • 0030533906 scopus 로고    scopus 로고
    • On the breakdown of axisymmetric smooth solution for 3-D Euler equation
    • Chae D., Kim N. On the breakdown of axisymmetric smooth solution for 3-D Euler equation. Comm. Math. Phys. 178:1996;391-398.
    • (1996) Comm. Math. Phys. , vol.178 , pp. 391-398
    • Chae, D.1    Kim, N.2
  • 3
    • 21944432796 scopus 로고    scopus 로고
    • Local existence and blow-up criterion for the Boussinesq equations
    • Chae D., Nam H. Local existence and blow-up criterion for the Boussinesq equations. Proc. Royal Soc. Edinburgh A. 127:1997;935-946.
    • (1997) Proc. Royal Soc. Edinburgh A , vol.127 , pp. 935-946
    • Chae, D.1    Nam, H.2
  • 4
    • 0028388187 scopus 로고
    • Geometric statistics in turbulence
    • Constantin P. Geometric statistics in turbulence. SIAM Rev. 36:1994;73-98.
    • (1994) SIAM Rev. , vol.36 , pp. 73-98
    • Constantin, P.1
  • 5
    • 21144480338 scopus 로고
    • On the blow-up of solutions of the 3-D Euler equations in a bounded domain
    • Ferrari A. On the blow-up of solutions of the 3-D Euler equations in a bounded domain. Comm. Math. Phys. 155:1993;277-294.
    • (1993) Comm. Math. Phys. , vol.155 , pp. 277-294
    • Ferrari, A.1
  • 6
    • 0001936266 scopus 로고
    • On some control problems and results concerning the unique solvability of a mixed boundary value problem for the three-dimensional Navier-Stokes and Euler systems
    • Fursikov A. V. On some control problems and results concerning the unique solvability of a mixed boundary value problem for the three-dimensional Navier-Stokes and Euler systems. Soviet Math. Dokl. 21:1980;889-893.
    • (1980) Soviet Math. Dokl. , vol.21 , pp. 889-893
    • Fursikov A., V.1
  • 8
    • 34250521951 scopus 로고
    • On classical solutions of the two-dimensional non-stationary Euler equations
    • Kato T. On classical solutions of the two-dimensional non-stationary Euler equations. Arch. Rational Mech. Anal. 25:1967;188-200.
    • (1967) Arch. Rational Mech. Anal. , vol.25 , pp. 188-200
    • Kato, T.1
  • 10
    • 84990619174 scopus 로고
    • Vorticity and the mathematical theory of incompressible fluid flow
    • Majda A. Vorticity and the mathematical theory of incompressible fluid flow. Comm. Pure Appl. Math. 39:1986;S187-S220.
    • (1986) Comm. Pure Appl. Math. , vol.39
    • Majda, A.1
  • 11
    • 0001722244 scopus 로고
    • Remarks on axisymmetric solutions of the incompressible Euler system
    • Raymond X. Remarks on axisymmetric solutions of the incompressible Euler system. Comm. Partial Differential Equations. 19:1994;321-334.
    • (1994) Comm. Partial Differential Equations , vol.19 , pp. 321-334
    • Raymond, X.1
  • 12
    • 0009268557 scopus 로고
    • A continuation principle for the 3-D Euler equations for incompressible fluids in a bounded domain
    • Shirota T., Yanagisawa T. A continuation principle for the 3-D Euler equations for incompressible fluids in a bounded domain. Proc. Japan Acad. Ser. A. 69:1993;77-82.
    • (1993) Proc. Japan Acad. Ser. A , vol.69 , pp. 77-82
    • Shirota, T.1    Yanagisawa, T.2
  • 13
    • 0001677082 scopus 로고
    • Note on global existence for axially symmetric solutions of the Euler system
    • Shirota T., Yanagisawa T. Note on global existence for axially symmetric solutions of the Euler system. Proc. Japan Acad. Ser. A. 70:1994;299-304.
    • (1994) Proc. Japan Acad. Ser. A , vol.70 , pp. 299-304
    • Shirota, T.1    Yanagisawa, T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.