메뉴 건너뛰기




Volumn 189, Issue 1-2, 2006, Pages 260-273

Analytical-numerical investigation of bubble-type solutions of nonlinear singular problems

Author keywords

Bubble type solutions; Nonlinear ordinary differential equation; One parameter families of solutions; Singular boundary value problem; Stable shooting method

Indexed keywords

DIFFERENTIAL EQUATIONS; HYDRODYNAMICS; NUMERICAL ANALYSIS; NUMERICAL METHODS;

EID: 31544446853     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2005.05.004     Document Type: Conference Paper
Times cited : (30)

References (15)
  • 3
    • 0020591567 scopus 로고
    • Nonlinear scalar field equations, I, Existence of a ground state
    • H. Berestycki, and P.-L. Lions Nonlinear scalar field equations, I, Existence of a ground state Arch. Rational Mech. Anal. 82 1983 313 345
    • (1983) Arch. Rational Mech. Anal. , vol.82 , pp. 313-345
    • Berestycki, H.1    Lions, P.-L.2
  • 4
    • 0029765036 scopus 로고    scopus 로고
    • Nucleation of spherical shell-like interfaces by second gradient theory: Numerical simulations
    • F. Dell'Isola, H. Gouin, and G. Rotoli Nucleation of spherical shell-like interfaces by second gradient theory: numerical simulations European J. Mech. B/Fluids 15 1996 545 568
    • (1996) European J. Mech. B/Fluids , vol.15 , pp. 545-568
    • Dell'Isola, F.1    Gouin, H.2    Rotoli, G.3
  • 5
    • 33645629468 scopus 로고
    • Comments on nonlinear wave equations as models for elementary particles
    • G.H. Derrick Comments on nonlinear wave equations as models for elementary particles J. Math. Phys. 5 1965 1252 1254
    • (1965) J. Math. Phys. , vol.5 , pp. 1252-1254
    • Derrick, G.H.1
  • 6
    • 0000798079 scopus 로고    scopus 로고
    • Media with equations of state that depend on derivatives
    • S.L. Gavrilyuk, and S.M. Shugrin Media with equations of state that depend on derivatives J. Appl. Mech. Tech. Phys. 37 1996 177 189
    • (1996) J. Appl. Mech. Tech. Phys. , vol.37 , pp. 177-189
    • Gavrilyuk, S.L.1    Shugrin, S.M.2
  • 7
    • 0007281191 scopus 로고    scopus 로고
    • Existence of ground states and free boundary problems for quasilinear elliptic operators
    • F. Gazzola, J. Serrin, and M. Tang Existence of ground states and free boundary problems for quasilinear elliptic operators Add. Differential Equations 5 2000 1 30
    • (2000) Add. Differential Equations , vol.5 , pp. 1-30
    • Gazzola, F.1    Serrin, J.2    Tang, M.3
  • 8
    • 0031131409 scopus 로고    scopus 로고
    • An analytical approximation of density profile and surface tension of microscopic bubbles for van der Waals fluids
    • H. Gouin, and G. Rotoli An analytical approximation of density profile and surface tension of microscopic bubbles for van der Waals fluids Mech. Res. Comm. 24 1997 255 260
    • (1997) Mech. Res. Comm. , vol.24 , pp. 255-260
    • Gouin, H.1    Rotoli, G.2
  • 9
    • 5644230991 scopus 로고
    • Singular Cauchy problems for systems of ordinary differential equations
    • N.B. Konyukhova Singular Cauchy problems for systems of ordinary differential equations USSR Comput. Math. Math. Phys. 23 1983 72 82
    • (1983) USSR Comput. Math. Math. Phys. , vol.23 , pp. 72-82
    • Konyukhova, N.B.1
  • 10
    • 31544443001 scopus 로고    scopus 로고
    • Analytical-numerical approach to a singular boundary value problem
    • Ouro Preto, Brasil (CD-ROM)
    • P.M. Lima, N.V. Chemetov, N.B. Konyukhova, A.I. Sukov, Analytical-numerical approach to a singular boundary value problem, in: Proceedings of CILAMCE XXIV, Ouro Preto, Brasil (CD-ROM).
    • Proceedings of CILAMCE , vol.25
    • Lima, P.M.1    Chemetov, N.V.2    Konyukhova, N.B.3    Sukov, A.I.4
  • 11
    • 0003304975 scopus 로고
    • Problème Général de la Stabilité du Mouvement
    • Princeton University Press, Princeton, NJ
    • A.M. Lyapunov, Problème Général de la Stabilité du Mouvement, Annals of Mathematics Studies, vol. 17, Princeton University Press, Princeton, NJ, 1947.
    • (1947) Annals of Mathematics Studies , vol.17
    • Lyapunov, A.M.1
  • 13
    • 31544436376 scopus 로고    scopus 로고
    • University of International Friendship Publishers Moscow
    • Yu.P. Rybakov, and V.I. Sanyuk Many-Dimensional Solitons 2001 University of International Friendship Publishers Moscow (in Russian)
    • (2001) Many-dimensional Solitons
    • Rybakov, Yu.P.1    Sanyuk, V.I.2
  • 15
    • 0004149831 scopus 로고    scopus 로고
    • Cambridge University Press Cambridge
    • S. Wolfram The Mathematica Book 1996 Cambridge University Press Cambridge
    • (1996) The Mathematica Book
    • Wolfram, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.