메뉴 건너뛰기




Volumn 36, Issue 1, 2005, Pages 272-283

On the structure of solutions to the periodic Hunter-Saxton equation

Author keywords

Blow up of strong solutions; Hunter Saxton equation; Local existence of strong solutions

Indexed keywords

HAMILTONIANS; INTEGRAL EQUATIONS; LINEARIZATION; NEMATIC LIQUID CRYSTALS; PERTURBATION TECHNIQUES; SET THEORY; THEOREM PROVING; VECTORS; VELOCITY MEASUREMENT;

EID: 14544275482     PISSN: 00361410     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036141003425672     Document Type: Article
Times cited : (102)

References (17)
  • 1
    • 0012693456 scopus 로고    scopus 로고
    • Inverse scattering solutions of the Hunter-Saxton equations
    • R. BEALS, D. SATTINGER, AND J. SZMIGIELSKI, Inverse scattering solutions of the Hunter-Saxton equations, Appl. Anal., 78 (2001), pp. 255-269.
    • (2001) Appl. Anal. , vol.78 , pp. 255-269
    • Beals, R.1    Sattinger, D.2    Szmigielski, J.3
  • 2
    • 12044254491 scopus 로고
    • An integrable shallow water equation with peaked solitons
    • R. CAMASSA AND D. HOLM, An integrable shallow water equation with peaked solitons, Phys. Rev. Lett., 71 (1993), pp. 1661-1664.
    • (1993) Phys. Rev. Lett. , vol.71 , pp. 1661-1664
    • Camassa, R.1    Holm, D.2
  • 3
    • 0032374820 scopus 로고    scopus 로고
    • Well-posedness, global existence, and blowup phenomena for a periodic quasi-linear hyperbolic equation
    • A. CONSTANTIN AND J. ESCHER, Well-posedness, global existence, and blowup phenomena for a periodic quasi-linear hyperbolic equation, Comm. Pure Appl. Math., 51 (1998), pp. 475-504.
    • (1998) Comm. Pure Appl. Math. , vol.51 , pp. 475-504
    • Constantin, A.1    Escher, J.2
  • 4
    • 0000985293 scopus 로고    scopus 로고
    • Wave breaking for nonlinear nonlocal shallow water equations
    • A. CONSTANTIN AND J. ESCHER, Wave breaking for nonlinear nonlocal shallow water equations, Acta Math., 181 (1998), pp. 229-243.
    • (1998) Acta Math. , vol.181 , pp. 229-243
    • Constantin, A.1    Escher, J.2
  • 5
    • 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
  • 6
    • 0033415933 scopus 로고    scopus 로고
    • A shallow water equation on the circle
    • A. CONSTANTIN AND H. P. MCKEAN, A shallow water equation on the circle, Comm. Pure Appl. Math., 52 (1999), pp. 949-982.
    • (1999) Comm. Pure Appl. Math. , vol.52 , pp. 949-982
    • Constantin, A.1    Mckean, H.P.2
  • 7
    • 0004456042 scopus 로고    scopus 로고
    • Transformations for the Camassa-Holm equation, its high-frequency limit and the Sinh-Gordon equation
    • H. H. DAI AND M. PAVLOV, Transformations for the Camassa-Holm equation, its high-frequency limit and the Sinh-Gordon equation, J. P. Soc. Japan, 67 (1998), pp. 3655-3657.
    • (1998) J. P. Soc. Japan , vol.67 , pp. 3655-3657
    • Dai, H.H.1    Pavlov, M.2
  • 8
    • 49049150360 scopus 로고
    • Symplectic structures, their Bäcklund transformations and hereditary symmetries
    • A. FOKAS AND B. FUCHSSTEINER, Symplectic structures, their Bäcklund transformations and hereditary symmetries, Phys. D, 4 (1981/1982), pp. 47-66.
    • (1981) Phys. D , vol.4 , pp. 47-66
    • Fokas, A.1    Fuchssteiner, B.2
  • 9
    • 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
  • 10
    • 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, Phys. D, 79 (1994), pp. 361-386.
    • (1994) Phys. D , vol.79 , pp. 361-386
    • Hunter, J.K.1    Zheng, Y.2
  • 11
    • 0037171407 scopus 로고    scopus 로고
    • Camassa-Holm, Korteweg-de Vries and related models for water waves
    • R. S. JOHNSON, Camassa-Holm, Korteweg-de Vries and related models for water waves, J. Fluid. Mech., 455 (2002), pp. 63-82.
    • (2002) J. Fluid. Mech. , vol.455 , pp. 63-82
    • Johnson, R.S.1
  • 12
    • 0003123140 scopus 로고
    • Quasi-linear equations of evolution, with applications to partial differential equations
    • Spectral Theory and Differential Equations, W. N. Everitt, ed., Springer-Verlag, Berlin
    • T. KATO, Quasi-linear equations of evolution, with applications to partial differential equations, in Spectral Theory and Differential Equations, W. N. Everitt, ed., Lecture Notes in Math. 448, Springer-Verlag, Berlin, 1975, pp. 25-70.
    • (1975) Lecture Notes in Math. , vol.448 , pp. 25-70
    • Kato, T.1
  • 13
    • 0002362134 scopus 로고
    • On the Korteweg-de Vries equation
    • T. KATO, On the Korteweg-de Vries equation, Manuscripta Math., 28 (1979), pp. 89-99.
    • (1979) Manuscripta Math. , vol.28 , pp. 89-99
    • Kato, T.1
  • 14
    • 0002362136 scopus 로고
    • On the Cauchy problem for the (generalized) Korteweg-de Vries equation
    • Studies in Applied Mathematics, V. Guillemin, ed., Academic Press, New York
    • T. KATO, On the Cauchy problem for the (generalized) Korteweg-de Vries equation, in Studies in Applied Mathematics, V. Guillemin, ed., Adv. Math. Suppl. Stud. 8, Academic Press, New York, 1983, pp. 93-128.
    • (1983) Adv. Math. Suppl. Stud. , vol.8 , pp. 93-128
    • Kato, T.1
  • 15
    • 84990617895 scopus 로고
    • Commutator estimates and the Euler and Navier-Stokes equations
    • T. KATO AND G. PONCE, Commutator estimates and the Euler and Navier-Stokes equations, Comm. Pure Appl. Math., 41 (1988), pp. 891-907.
    • (1988) Comm. Pure Appl. Math. , vol.41 , pp. 891-907
    • Kato, T.1    Ponce, G.2
  • 16
    • 0000582346 scopus 로고    scopus 로고
    • Tri-Hamiltonian duality between solitions and solitary wave solutions having compact support
    • P. OLVER AND P. ROSENAU, Tri-Hamiltonian duality between solitions and solitary wave solutions having compact support, Phys. Rev. E, 53 (1996), pp. 1900-1906.
    • (1996) Phys. Rev. E , vol.53 , pp. 1900-1906
    • Olver, P.1    Rosenau, P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.