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Volumn 18, Issue 4, 2007, Pages 643-656

Weak geodesic flow and global solutions of the Hunter-saxton equation

Author keywords

Global weak solutions; Hunter Saxton equation; Weak geodesic flow

Indexed keywords


EID: 35248813847     PISSN: 10780947     EISSN: None     Source Type: Journal    
DOI: 10.3934/dcds.2007.18.643     Document Type: Article
Times cited : (51)

References (13)
  • 1
    • 33646540720 scopus 로고    scopus 로고
    • Global solutions of the Hunter-Saxton equation
    • A. Bressan and A. Constantin, Global solutions of the Hunter-Saxton equation, SIAM J. Math. Anal. 37 (2005), 996-1026.
    • (2005) SIAM J. Math. Anal , vol.37 , pp. 996-1026
    • Bressan, A.1    Constantin, A.2
  • 2
    • 0242350978 scopus 로고    scopus 로고
    • Geodesic flow on the diffeomorphism group of the circle
    • A. Constantin and B. Kolev, Geodesic flow on the diffeomorphism group of the circle, Comment. Math. Helv. 78 (2003), 787-804.
    • (2003) Comment. Math. Helv , vol.78 , pp. 787-804
    • Constantin, A.1    Kolev, B.2
  • 3
    • 0026390825 scopus 로고
    • Dynamics of director fields
    • J. K. Hunter and R. Saxton, Dynamics of director fields, SIAM J. Appl. Math. 51 (1991), 1498-1521.
    • (1991) SIAM J. Appl. Math , vol.51 , pp. 1498-1521
    • Hunter, J.K.1    Saxton, R.2
  • 4
    • 0000452055 scopus 로고
    • On a completely integrable nonlinear hyperbolic variational equation
    • J. K. Hunter and Y. Zheng, On a completely integrable nonlinear hyperbolic variational equation, Physica D 79 (1994), 361-386.
    • (1994) Physica D , vol.79 , pp. 361-386
    • Hunter, J.K.1    Zheng, Y.2
  • 5
    • 34249761118 scopus 로고
    • On a nonlinear hyperbolic variational equation I. Global existence of weak solutions
    • J. K. Hunter and Y. Zheng, On a nonlinear hyperbolic variational equation I. Global existence of weak solutions, Arch. Rat. Mech. Anal. 129 (1995), 305-353.
    • (1995) Arch. Rat. Mech. Anal , vol.129 , pp. 305-353
    • Hunter, J.K.1    Zheng, Y.2
  • 6
    • 34249757026 scopus 로고
    • On a nonlinear hyperbolic variational equation II. The zeroviscosity and dispersion limits
    • J. K. Hunter and Y. Zheng, On a nonlinear hyperbolic variational equation II. The zeroviscosity and dispersion limits, Arch. Rat. Mech. Anal. 129 (1995), 355-383.
    • (1995) Arch. Rat. Mech. Anal , vol.129 , pp. 355-383
    • Hunter, J.K.1    Zheng, Y.2
  • 7
    • 0037612018 scopus 로고    scopus 로고
    • Euler equations on homogeneous spaces and Virasoro orbits
    • B. Khesin and G. Misiolek, Euler equations on homogeneous spaces and Virasoro orbits, Adv. Math. 176 (2003), 116-144.
    • (2003) Adv. Math , vol.176 , pp. 116-144
    • Khesin, B.1    Misiolek, G.2
  • 9
    • 85039078873 scopus 로고    scopus 로고
    • The Hunter-Saxton equation describes the geodesic flow on a sphere
    • to appear
    • J. Lenells, The Hunter-Saxton equation describes the geodesic flow on a sphere, J. Geom. Phys., to appear.
    • J. Geom. Phys
    • Lenells, J.1
  • 12
    • 0003887517 scopus 로고
    • North-Holland Publishing Co, Amsterdam
    • R. Temam, "Navier-Stokes Equations", North-Holland Publishing Co., Amsterdam, 1984.
    • (1984) Navier-Stokes Equations
    • Temam, R.1
  • 13
    • 14544275482 scopus 로고    scopus 로고
    • On the structure of solutions to the periodic Hunter-Saxton equation
    • Z. Yin, On the structure of solutions to the periodic Hunter-Saxton equation, SIAM J. Math. Anal. 36 (2004), 272-283.
    • (2004) SIAM J. Math. Anal , vol.36 , pp. 272-283
    • Yin, Z.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.