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Volumn 40, Issue 1, 2008, Pages 266-277

The hunter-saxton equation: A geometric approach

Author keywords

Diffeomorphism group; Geodesic flow; Hunter saxton equation

Indexed keywords

DIFFEOMORPHISM GROUP; DIFFEOMORPHISMS; EXPLICIT EXPRESSIONS; EXPLICIT FORMULAS; GEODESIC FLOW; GEOMETRIC APPROACHES; GEOMETRIC INTERPRETATIONS; HUNTER-SAXTON EQUATION; METHOD OF CHARACTERISTICS; PERIODIC SOLUTIONS; QUOTIENT SPACES; RIEMANNIAN STRUCTURES; UNIT CIRCLES;

EID: 61849127242     PISSN: 00361410     EISSN: None     Source Type: Journal    
DOI: 10.1137/050647451     Document Type: Article
Times cited : (64)

References (15)
  • 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), pp. 996-1026.
    • (2005) SIAM J. Math. Anal , vol.37 , pp. 996-1026
    • BRESSAN, A.1    CONSTANTIN, A.2
  • 2
    • 0034415062 scopus 로고    scopus 로고
    • Existence of permanent and breaking waves for a shallow water equation: A geometric approach
    • A. CONSTANTIN, Existence of permanent and breaking waves for a shallow water equation: A geometric approach, Ann. Inst. Fourier (Grenoble), 50 (2000), pp. 321-362.
    • (2000) Ann. Inst. Fourier (Grenoble) , vol.50 , pp. 321-362
    • CONSTANTIN, A.1
  • 3
    • 0042279206 scopus 로고    scopus 로고
    • On the geometric approach to the motion of inertial mechanical systems
    • A. CONSTANTIN AND B. KOLEV, On the geometric approach to the motion of inertial mechanical systems, J. Phys. A, 35 (2002), pp. R51-R79.
    • (2002) J. Phys. A , vol.35
    • CONSTANTIN, A.1    KOLEV, B.2
  • 4
    • 0001052255 scopus 로고
    • Groups of diffeomorphisms and the motion of an incompressible fluid
    • D. EBIN AND J. E. MARSDEN, Groups of diffeomorphisms and the motion of an incompressible fluid, Ann. of Math. (2), 92 (1970), pp. 102-163.
    • (1970) Ann. of Math. (2) , vol.92 , pp. 102-163
    • EBIN, D.1    MARSDEN, J.E.2
  • 5
    • 84966236065 scopus 로고
    • The inverse function theorem of Nash and Moser
    • R. HAMILTON, The inverse function theorem of Nash and Moser, Bull. Amer. Math. Soc, 7 (1982), pp. 65-222.
    • (1982) Bull. Amer. Math. Soc , vol.7 , pp. 65-222
    • HAMILTON, R.1
  • 6
    • 0026390825 scopus 로고
    • Dynamics of director fields
    • J. K. HUNTER AND R. SAXTON, Dynamics of director fields, SIAM J. Appl. Math., 51 (1991), pp. 1498-1521.
    • (1991) SIAM J. Appl. Math , vol.51 , pp. 1498-1521
    • HUNTER, J.K.1    SAXTON, R.2
  • 7
    • 0000452055 scopus 로고
    • On a completely integrable nonlinear hyperbolic variational equation
    • J. K. HUNTER AND R. SAXTON, On a completely integrable nonlinear hyperbolic variational equation, Phys. D, 79 (1994), pp. 361-386.
    • (1994) Phys. D , vol.79 , pp. 361-386
    • HUNTER, J.K.1    SAXTON, R.2
  • 8
    • 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. Rational Mech. Anal., 129 (1995), pp. 305-353.
    • (1995) Arch. Rational Mech. Anal , vol.129 , pp. 305-353
    • HUNTER, J.K.1    ZHENG, Y.2
  • 9
    • 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), pp. 116-144.
    • (2003) Adv. Math , vol.176 , pp. 116-144
    • KHESIN, B.1    MISIOLEK, G.2
  • 11
    • 35248813847 scopus 로고    scopus 로고
    • Weak geodesic flow and global solutions of the Hunter-Saxton equation
    • J. LENELLS, Weak geodesic flow and global solutions of the Hunter-Saxton equation, Discrete Contin. Dyn. Syst., 18 (2007), pp. 643-656.
    • (2007) Discrete Contin. Dyn. Syst , vol.18 , pp. 643-656
    • LENELLS, J.1
  • 12
    • 38149115470 scopus 로고    scopus 로고
    • Riemannian geometry on the diffeomorphism group of the circle
    • J. LENELLS, Riemannian geometry on the diffeomorphism group of the circle, Ark. Mat., 45 (2007), pp. 297-325.
    • (2007) Ark. Mat , vol.45 , pp. 297-325
    • LENELLS, J.1
  • 13
    • 0031989845 scopus 로고    scopus 로고
    • A shallow water equation as a geodesic flow on the Bott-Virasoro group
    • G. MISIOLEK, A shallow water equation as a geodesic flow on the Bott-Virasoro group, J. Geom. Phys., 24 (1998), pp. 203-208.
    • (1998) J. Geom. Phys , vol.24 , pp. 203-208
    • MISIOLEK, G.1
  • 14
  • 15
    • 0001193088 scopus 로고
    • The (super) KdV equation as an Euler equation
    • V. OVSIENKO AND B. KHESIN, The (super) KdV equation as an Euler equation, Funct. Anal. Appl., 21(1987), pp. 81-82.
    • (1987) Funct. Anal. Appl , vol.21 , pp. 81-82
    • OVSIENKO, V.1    KHESIN, B.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.