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Volumn 21, Issue 7-8, 1996, Pages 1119-1140

The modulation equations of nonlinear geometric optics

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EID: 0040159978     PISSN: 03605302     EISSN: None     Source Type: Journal    
DOI: 10.1080/03605309608821220     Document Type: Article
Times cited : (8)

References (13)
  • 1
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    • Justification de l'optique géométrique non linéaire pour un système de lois de conservation
    • Séminaire EDP de l'école Polytechnique. Exposé XV
    • C. Cheverry, Justification de l'optique géométrique non linéaire pour un système de lois de conservation. Séminaire EDP de l'école Polytechnique. Exposé XV. (1995). To appear in the Duke Mathematical Journal.
    • (1995) Duke Mathematical Journal
    • Cheverry, C.1
  • 3
    • 0000617788 scopus 로고
    • Generalized characteristics and the structure of solutions of hyperbolic conservation laws
    • C.M. Dafermos, Generalized characteristics and the structure of solutions of hyperbolic conservation laws. Indiana University Mathematics Journal. Vol 26. No 6.(1977), pp 1097-1119.
    • (1977) Indiana University Mathematics Journal , vol.26 , Issue.6 , pp. 1097-1119
    • Dafermos, C.M.1
  • 4
    • 84981759861 scopus 로고
    • Solutions in the large for nonlinear hyperbolic systems of equations
    • J. Glimm, Solutions in the large for nonlinear hyperbolic systems of equations. Comm. Pure. Appl. Math., 18(1965), pp 697-715.
    • (1965) Comm. Pure. Appl. Math. , vol.18 , pp. 697-715
    • Glimm, J.1
  • 7
    • 0016027866 scopus 로고
    • Breakdown of the solution to a completely exceptional system of hyperbolic equations
    • A. Jeffrey, Breakdown of the solution to a completely exceptional system of hyperbolic equations. J.Math.Anal. and Appl., 45(1974), pp 375-381.
    • (1974) J.Math.Anal. and Appl. , vol.45 , pp. 375-381
    • Jeffrey, A.1
  • 8
    • 21344477562 scopus 로고
    • A nonlinear instability for 3 × 3 systems of conservation laws
    • Joly-Metivier-Rauch, A Nonlinear Instability for 3 × 3 systems of Conservation Laws. Commun.Math.Phys. 162, 47-59 (1994).
    • (1994) Commun.Math.Phys. , vol.162 , pp. 47-59
    • Joly-Metivier-Rauch1
  • 9
    • 84980077727 scopus 로고
    • Hyperbolic systems of conservation laws II
    • P. Lax, Hyperbolic systems of conservation laws II. Comm. Pure. Appl. Math. 10(1957), pp 537-566.
    • (1957) Comm. Pure. Appl. Math. , vol.10 , pp. 537-566
    • Lax, P.1
  • 10
    • 0000443629 scopus 로고
    • A canonical system of integrodifferential equations arising in resonant nonlinear acoustics
    • Majda-Rosales-Schonbek, A canonical system of integrodifferential equations arising in resonant nonlinear acoustics. Studies in Applied Mathematics. 79(1988), pp 205-262.
    • (1988) Studies in Applied Mathematics , vol.79 , pp. 205-262
    • Majda-Rosales-Schonbek1
  • 11
    • 0039830700 scopus 로고
    • Some explicit resonanting waves in weakly nonlinear gas dynamics
    • L. Pego, Some explicit resonanting Waves in weakly nonlinear gas dynamics. Studies in Applied Mathematics. 79(1988), pp 263-270.
    • (1988) Studies in Applied Mathematics , vol.79 , pp. 263-270
    • Pego, L.1
  • 12
    • 25344435959 scopus 로고    scopus 로고
    • A numerical and analytical study of the resonant interaction equations for hyperbolic systems, I and II
    • E. Randall-R. Rosalès, A numerical and analytical study of the resonant interaction equations for hyperbolic systems, I and II. To appear in Stud. in Appl. Math.
    • Stud. in Appl. Math.
    • Rosalès, E.R.-R.1
  • 13
    • 0005500852 scopus 로고
    • Resonant nonlinear geometrical optics for weak solutions of conservation laws
    • S. Schochet, Resonant nonlinear geometrical optics for weak solutions of conservation laws. J. Diff. Eq.,113(1994), pp 473-504.
    • (1994) J. Diff. Eq. , vol.113 , pp. 473-504
    • Schochet, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.