메뉴 건너뛰기




Volumn 107, Issue 2, 2001, Pages 351-419

Long-wave short-wave resonance for nonlinear geometric optics

(2)  Colin, Thierry a   Lannes, David a  

a NONE

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0003185795     PISSN: 00127094     EISSN: None     Source Type: Journal    
DOI: 10.1215/S0012-7094-01-10725-4     Document Type: Article
Times cited : (30)

References (15)
  • 1
    • 0029695832 scopus 로고    scopus 로고
    • Global splitting, integrability and regularity of 3D Euler and Navier-Stokes equations for uniformly rotating fluids
    • [BMN]
    • [BMN] A. Babin, A. Mahalov, and B. Nicolaenko, Global splitting, integrability and regularity of 3D Euler and Navier-Stokes equations for uniformly rotating fluids, European J. Mech. B Fluids 15 (1996), 291-300.
    • (1996) European J. Mech. B Fluids , vol.15 , pp. 291-300
    • Babin, A.1    Mahalov, A.2    Nicolaenko, B.3
  • 5
    • 0032325154 scopus 로고    scopus 로고
    • Applications of Schocket's methods to parabolic equations
    • [5]\bibitem [Ga]
    • \bibitem [Ga]Ga I. Gallagher, Applications of Schocket's methods to parabolic equations, J. Math. Pures Appl. (9) 77 (1998), 989-1054.
    • (1998) J. Math. Pures Appl. (9) , vol.77 , pp. 989-1054
    • Gallagher, Ga.I.1
  • 6
    • 0031161337 scopus 로고    scopus 로고
    • Oscillatory perturbations of the Navier-Stokes equations
    • [6]\bibitem [Gr]
    • \bibitem [Gr]Gr E. Grenier, Oscillatory perturbations of the Navier-Stokes equations, J. Math. Pures Appl. (9) 76 (1997), 477-498.
    • (1997) J. Math. Pures Appl. (9) , vol.76 , pp. 477-498
    • Grenier, G.E.1
  • 7
    • 0001313410 scopus 로고
    • Local solution for the Kadomtsev-Petviashvili equation in $\mathbbR∧2$
    • [7]\bibitem [IMS]IMS
    • \bibitem [IMS]IMS P. Isaza, J. Mejia, and V. Stallbohm, Local solution for the Kadomtsev-Petviashvili equation in $\mathbbR∧2$, J. Math. Anal. Appl. 196 (1995), 566-587.
    • (1995) J. Math. Anal. Appl. , vol.196 , pp. 566-587
    • Isaza, P.1    Mejia, J.2    Stallbohm, V.3
  • 8
    • 0001632163 scopus 로고    scopus 로고
    • Diffractive nonlinear geometric optics with rectification
    • [8]\bibitem [JMR1]JMR1
    • \bibitem [JMR1]JMR1 J.-L. Joly, G. Métivier, and J. Rauch, Diffractive nonlinear geometric optics with rectification, Indiana Univ. Math. J. 47 (1998), 1167-1241.
    • (1998) Indiana Univ. Math. J , vol.47 , pp. 1167-1241
    • Joly, J.-L.1    Métivier, G.2    Rauch, J.3
  • 9
    • 0034259179 scopus 로고    scopus 로고
    • Transparent nonlinear geometric optics and Maxwell-Bloch equations
    • [9]\bibitem [JMR2]JMR2 _
    • \bibitem [JMR2]JMR2 _, Transparent nonlinear geometric optics and Maxwell-Bloch equations, J. Differential Equations 166 (2000), 175-250.
    • (2000) J. Differential Equations , vol.166 , pp. 175-250
  • 10
    • 0003346969 scopus 로고
    • Perturbation Theory for Linear Operators
    • [10]\bibitem [K] Springer, New York
    • \bibitem [K]K T. Kato, Perturbation Theory for Linear Operators, Grundlehren Math. Wiss. 132, Springer, New York, 1966.
    • (1966) Grundlehren Math. Wiss. , vol.132
    • Kato, K.T.1
  • 11
    • 0001328731 scopus 로고    scopus 로고
    • Dispersive effects for nonlinear geometrical optics with rectification
    • [11]\bibitem [L1]L1
    • \bibitem [L1]L1 D. Lannes, Dispersive effects for nonlinear geometrical optics with rectification, Asymptot. Anal. 18 (1998), 111-146.
    • (1998) Asymptot. Anal. , vol.18 , pp. 111-146
    • Lannes, D.1
  • 13
    • 0000372995 scopus 로고
    • On a nonlinear Schrodinger equation arising in the theory of water waves
    • [13]\bibitem [La]La
    • \bibitem [La]La Ph. Laurençot, On a nonlinear Schrodinger equation arising in the theory of water waves, Nonlinear Anal. 24 (1995), 509-527.
    • (1995) Nonlinear Anal. , vol.24 , pp. 509-527
    • Laurençot, Ph.1
  • 14
    • 0001446015 scopus 로고
    • Existence and smoothing effect of solutions for the Zakharov equations
    • [14]\bibitem [OT]OT
    • \bibitem [OT]OT T. Ozawa and Y. Tsutsumi, Existence and smoothing effect of solutions for the Zakharov equations, Publ. Res. Inst. Math. Sci. 28 (1992), 329-361.
    • (1992) Publ. Res. Inst. Math. Sci. , vol.28 , pp. 329-361
    • Ozawa, T.1    Tsutsumi, Y.2
  • 15
    • 43949155251 scopus 로고
    • Fast singular limits of hyperbolic PDEs
    • [15]\bibitem [S]
    • \bibitem [S]S S. Schochet, Fast singular limits of hyperbolic PDEs, J. Differential Equations 114 (1994), 476-512.
    • (1994) J. Differential Equations , vol.114 , pp. 476-512
    • Schochet, S.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.