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Volumn 211, Issue 1, 2000, Pages 45-61

Global weak solutions for a shallow water equation

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EID: 0034349440     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200050801     Document Type: Article
Times cited : (482)

References (23)
  • 1
    • 0000174121 scopus 로고    scopus 로고
    • Acoustic scattering and the extended Korteweg-de Vries hierarchy
    • 1. Beals, R., Sattinger, R. and Szmigielski, J.: Acoustic scattering and the extended Korteweg-de Vries hierarchy. Adv. in Math. 140, (190-206) (1998)
    • (1998) Adv. in Math. , vol.140 , pp. 190-206
    • Beals, R.1    Sattinger, R.2    Szmigielski, J.3
  • 3
    • 12044254491 scopus 로고
    • An integrable shallow water equation with peaked solitons
    • 3. Camassa, and Holm, D.: An integrable shallow water equation with peaked solitons. Phys. Rev. Lett. 71. 1661-1664 (1993)
    • (1993) Phys. Rev. Lett. , vol.71 , pp. 1661-1664
    • Camassa1    Holm, D.2
  • 4
  • 5
    • 0002594667 scopus 로고    scopus 로고
    • Existence of permanent and breaking waves for a shallow water equation: A geometric approach
    • in press
    • 5. Constantin, A.: Existence of permanent and breaking waves for a shallow water equation: A geometric approach. Ann. Inst. Fourier (Grenoble), in press
    • Ann. Inst. Fourier (Grenoble)
    • Constantin, A.1
  • 6
    • 85129402022 scopus 로고    scopus 로고
    • Global existence and blow-up for a shallow water equation
    • 6. Constantin, A. and Escher, J.: Global existence and blow-up for a shallow water equation. Annali Sc. Norm. Sup. Pisa 26, 303-328 (1998)
    • (1998) Annali Sc. Norm. Sup. Pisa , vol.26 , pp. 303-328
    • Constantin, A.1    Escher, J.2
  • 7
    • 0000468550 scopus 로고    scopus 로고
    • Global weak solutions for a shallow water equation
    • 7. Constantin, A. and Escher, J.: Global weak solutions for a shallow water equation. Indiana Univ. Math. J. 47, 1527-1545 (1998)
    • (1998) Indiana Univ. Math. J. , vol.47 , pp. 1527-1545
    • Constantin, A.1    Escher, J.2
  • 8
    • 0000985293 scopus 로고    scopus 로고
    • Wave breaking for nonlinear nonlocal shallow water equations
    • 8. Constantin, A. and Escher, J.: Wave breaking for nonlinear nonlocal shallow water equations. Acta Mathematica 181, 229-243 (1998)
    • (1998) Acta Mathematica , vol.181 , pp. 229-243
    • Constantin, A.1    Escher, J.2
  • 9
    • 0032374820 scopus 로고    scopus 로고
    • Well-posedness, global existence, and blow-up phenomena for a periodic quasi-linear hyperbolic equation
    • 9. Constantin, A. and Escher, J.: Well-posedness, global existence, and blow-up phenomena for a periodic quasi-linear hyperbolic equation. Comm. Pure Appl. Math. 51, 475-504 (1998)
    • (1998) Comm. Pure Appl. Math. , vol.51 , pp. 475-504
    • Constantin, A.1    Escher, J.2
  • 10
    • 0033415933 scopus 로고    scopus 로고
    • A shallow water equation on the circle
    • 10. Constantin, A. and McKean, H.P.: A shallow water equation on the circle, Comm. Pure Appl. Math. 52, 949-982 (1999)
    • (1999) Comm. Pure Appl. Math. , vol.52 , pp. 949-982
    • Constantin, A.1    McKean, H.P.2
  • 13
    • 0031679566 scopus 로고    scopus 로고
    • Model equations for nonlinear dispersive waves in a compressible Mooney-Rivlin rod
    • 13. Dai, H.-H.: Model equations for nonlinear dispersive waves in a compressible Mooney-Rivlin rod. Acta Mechanica 127, 293-308 (1998)
    • (1998) Acta Mechanica , vol.127 , pp. 293-308
    • Dai, H.-H.1
  • 14
    • 49049150360 scopus 로고
    • Symplectic structures, their Bäcklund transformation and hereditary symmetries
    • 14. Fokas, and Fuchssteiner, B.: Symplectic structures, their Bäcklund transformation and hereditary symmetries. Physica D 4, 47-66 (1981)
    • (1981) Physica D , vol.4 , pp. 47-66
    • Fokas1    Fuchssteiner, B.2
  • 15
    • 0033483085 scopus 로고    scopus 로고
    • The Camassa-Holm equation as a geodesic flow on the diffeomorphism group
    • 15. Kouranbaeva, S.: The Camassa-Holm equation as a geodesic flow on the diffeomorphism group. J. Math. Phys. 40, 857-868 (1999)
    • (1999) J. Math. Phys. , vol.40 , pp. 857-868
    • Kouranbaeva, S.1
  • 16
    • 0034688728 scopus 로고    scopus 로고
    • Well-posedness and blow-up solutions for an integrable nonlinearly dispersive model wave equation
    • in press
    • 16. Li, Yi and Olver, P.: Well-posedness and blow-up solutions for an integrable nonlinearly dispersive model wave equation. J. Differ. Eqs., in press
    • J. Differ. Eqs.
    • Li, Y.1    Olver, P.2
  • 19
    • 0001472433 scopus 로고    scopus 로고
    • Breakdown of a shallow water equation
    • to appear
    • 19. McKean, H.P.: Breakdown of a shallow water equation. Asian J. Math., to appear
    • Asian J. Math.
    • McKean, H.P.1
  • 20
    • 0031989845 scopus 로고    scopus 로고
    • A shallow water equation equation as a geodesic flow on the Bott-Virasoro group
    • 20. Misiolek, G.: A shallow water equation equation as a geodesic flow on the Bott-Virasoro group. J. Geom. Phys. 24, 203-208 (1998)
    • (1998) J. Geom. Phys. , vol.24 , pp. 203-208
    • Misiolek, G.1


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