메뉴 건너뛰기




Volumn 8, Issue 1, 2005, Pages 59-96

Boundary value problems for boussinesq type systems

Author keywords

Boundary value problems; Integral representations; PDE systems; Water waves

Indexed keywords


EID: 17444427381     PISSN: 13850172     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11040-004-1650-6     Document Type: Article
Times cited : (42)

References (19)
  • 2
    • 0001274115 scopus 로고
    • Regularity and uniqueness of solutions to the Boussinesq system of equations
    • Amick, C. J.: Regularity and uniqueness of solutions to the Boussinesq system of equations, J. Differential Equations 54 (1984), 231-247.
    • (1984) J. Differential Equations , vol.54 , pp. 231-247
    • Amick, C.J.1
  • 3
    • 0011913755 scopus 로고    scopus 로고
    • Boussinesq equations and other systems for small amplitude long waves in nonlinear dispersive media I
    • Bona, J. L., Chen, M. and Saut, J. C.: Boussinesq equations and other systems for small amplitude long waves in nonlinear dispersive media I, J. Nonlinear Sci. 12 (2002), 283-318.
    • (2002) J. Nonlinear Sci. , vol.12 , pp. 283-318
    • Bona, J.L.1    Chen, M.2    Saut, J.C.3
  • 4
    • 0012499847 scopus 로고    scopus 로고
    • An initial-boundary value problem for the Korteweg-deVries equation posed on a finite interval
    • Colin, T. and Ghidaglia, J. M.: An initial-boundary value problem for the Korteweg-deVries equation posed on a finite interval, Adv. Dig. Eq. 6(12) (2001), 1463-1492.
    • (2001) Adv. Dig. Eq. , vol.6 , Issue.12 , pp. 1463-1492
    • Colin, T.1    Ghidaglia, J.M.2
  • 5
    • 0034911329 scopus 로고    scopus 로고
    • Numerical modelling of two-way propagation of nonlinear dispersive waves
    • Dougalis, V. A. and Pelloni, B.: Numerical modelling of two-way propagation of nonlinear dispersive waves, Math. Comput. Simulation 55 (2001), 595-606.
    • (2001) Math. Comput. Simulation , vol.55 , pp. 595-606
    • Dougalis, V.A.1    Pelloni, B.2
  • 6
    • 33746814141 scopus 로고    scopus 로고
    • A unified transform method for solving linear and certain nonlinear PDE's
    • Fokas, A. S.: A unified transform method for solving linear and certain nonlinear PDE's, Proc. Roy. Soc. London Ser. A 453 (1997), 1411-1443.
    • (1997) Proc. Roy. Soc. London Ser. A , vol.453 , pp. 1411-1443
    • Fokas, A.S.1
  • 7
    • 0034382452 scopus 로고    scopus 로고
    • On the integrability of linear and nonlinear PDEs
    • Fokas, A. S.: On the integrability of linear and nonlinear PDEs, J. Math. Phys. 41 (2000), 4188.
    • (2000) J. Math. Phys. , vol.41 , pp. 4188
    • Fokas, A.S.1
  • 8
    • 0001116733 scopus 로고    scopus 로고
    • Two-dimensional linear PDE's in a convex polygon
    • Fokas, A. S.: Two-dimensional linear PDE's in a convex polygon, Proc. Roy. Soc. London Ser. A 457 (2001), 371-393.
    • (2001) Proc. Roy. Soc. London Ser. A , vol.457 , pp. 371-393
    • Fokas, A.S.1
  • 9
    • 0036895626 scopus 로고    scopus 로고
    • A new transform method for evolution PDEs
    • Fokas, A. S.: A new transform method for evolution PDEs, IMA J. Appl. Math. 67 (2002), 559-590.
    • (2002) IMA J. Appl. Math. , vol.67 , pp. 559-590
    • Fokas, A.S.1
  • 10
    • 0036768819 scopus 로고    scopus 로고
    • Integrable nonlinear evolution equations on the half line
    • Fokas, A. S.: Integrable nonlinear evolution equations on the half line, Comm. Math. Phys. 230 (2002), 1-39.
    • (2002) Comm. Math. Phys. , vol.230 , pp. 1-39
    • Fokas, A.S.1
  • 11
    • 3042616581 scopus 로고    scopus 로고
    • The nonlinear Schrödinger equation on a finite domain
    • Fokas, A. S. and Its, A. R.: The nonlinear Schrödinger equation on a finite domain, J. Phys. A, Math. Gen. 37 (2004), 6091-6114.
    • (2004) J. Phys. A, Math. Gen. , vol.37 , pp. 6091-6114
    • Fokas, A.S.1    Its, A.R.2
  • 12
    • 33746470710 scopus 로고    scopus 로고
    • Integral transforms, spectral representations and the d-bar problem
    • Fokas, A. S. and Pelloni, B.: Integral transforms, spectral representations and the d-bar problem, Proc. Roy. Soc. London Ser. A 456 (2000), 805-833.
    • (2000) Proc. Roy. Soc. London Ser. A , vol.456 , pp. 805-833
    • Fokas, A.S.1    Pelloni, B.2
  • 13
    • 0035420762 scopus 로고    scopus 로고
    • Two-point boundary value problems for linear evolution equations
    • Fokas, A. S. and Pelloni, B.: Two-point boundary value problems for linear evolution equations, Proc. Camb. Phil. Soc. 17 (2001), 919-935.
    • (2001) Proc. Camb. Phil. Soc. , vol.17 , pp. 919-935
    • Fokas, A.S.1    Pelloni, B.2
  • 14
    • 26844577168 scopus 로고    scopus 로고
    • A transform method for evolution PDEs on a finite interval
    • submitted to (in press)
    • Fokas, A. S. and Pelloni, B.: A transform method for evolution PDEs on a finite interval, submitted to IMA J. Appl. Math. (in press).
    • IMA J. Appl. Math.
    • Fokas, A.S.1    Pelloni, B.2
  • 15
    • 85020771689 scopus 로고    scopus 로고
    • Initial boundary value problems for linear evolution equations on the half line
    • in press.
    • Fokas, A. S. and Sung, L. Y.: Initial boundary value problems for linear evolution equations on the half line, Ann. of Math. (in press).
    • Ann. of Math.
    • Fokas, A.S.1    Sung, L.Y.2
  • 16
    • 0036681619 scopus 로고    scopus 로고
    • The fundamental differential form and boundary value problems
    • Fokas, A. S. and Zyskin, M.: The fundamental differential form and boundary value problems, Quart. J. Mech. Appl. Math. 55 (2002), 457-479.
    • (2002) Quart. J. Mech. Appl. Math. , vol.55 , pp. 457-479
    • Fokas, A.S.1    Zyskin, M.2
  • 17
    • 1642602556 scopus 로고    scopus 로고
    • Well-posed boundary value problems for linear evolution equations on a finite interval
    • Pelloni, B.: Well-posed boundary value problems for linear evolution equations on a finite interval, Proc. Camb. Phil. Soc. 136 (2004), 361-382.
    • (2004) Proc. Camb. Phil. Soc. , vol.136 , pp. 361-382
    • Pelloni, B.1
  • 18
    • 0001681687 scopus 로고
    • Existence of solutions for the Boussinesq system of equations
    • Schonbeck, M. E.: Existence of solutions for the Boussinesq system of equations, J. Differential Equations 42 (1981), 325-352.
    • (1981) J. Differential Equations , vol.42 , pp. 325-352
    • Schonbeck, M.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.