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Volumn 76, Issue 2, 2011, Pages 219-241

Large time behaviour of Hele-Shaw flow with injection or suction for perturbations of balls in ℝN

Author keywords

moving boundary problem; non local parabolic equation

Indexed keywords

DECAY PROPERTIES; ENERGY ESTIMATES; EVOLUTION EQUATIONS; GLOBAL EXISTENCE; HELE-SHAW FLOW; MOVING-BOUNDARY PROBLEM; NON-LINEAR; NONLOCAL; SMALL PERTURBATIONS; SYMMETRIC SOLUTION; TIME-DEPENDENT RESCALING;

EID: 79953189039     PISSN: 02724960     EISSN: 14643634     Source Type: Journal    
DOI: 10.1093/imamat/hxp037     Document Type: Article
Times cited : (3)

References (15)
  • 1
    • 3142764638 scopus 로고    scopus 로고
    • A free boundary problem for an elliptic-hyperbolic system: An application to tumor growth
    • electronic
    • CHEN, X. & FRIEDMAN, A. (2003) A free boundary problem for an elliptic-hyperbolic system: an application to tumor growth. SIAM J. Math. Anal., 35, 974-986 (electronic).
    • (2003) SIAM J. Math. Anal. , vol.35 , pp. 974-986
    • Chen, X.1    Friedman, A.2
  • 2
    • 0003314144 scopus 로고
    • Weak and variational methods for moving boundary problems
    • Boston, MA: Pitman (Advanced Publishing Program)
    • ELLIOTT, C. M. & OCKENDON, J. R. (1982) Weak and Variational Methods for Moving Boundary Problems. Research Notes in Mathematics, vol. 59. Boston, MA: Pitman (Advanced Publishing Program).
    • (1982) Research Notes in Mathematics , vol.59
    • Elliott, C.M.1    Ockendon, J.R.2
  • 3
    • 0000433754 scopus 로고
    • Maximal regularity for a free boundary problem
    • ESCHER, J. & SIMONETT, G. (1995) Maximal regularity for a free boundary problem. Nonlinear Differ. Equ. Appl., 2, 463-510.
    • (1995) Nonlinear Differ. Equ. Appl. , vol.2 , pp. 463-510
    • Escher, J.1    Simonett, G.2
  • 4
    • 0039470279 scopus 로고    scopus 로고
    • Analyticity of the interface in a free boundary problem
    • ESCHER, J. & SIMONETT, G. (1996) Analyticity of the interface in a free boundary problem. Math. Ann., 305, 439-459. (Pubitemid 126338933)
    • (1996) Mathematische Annalen , vol.305 , Issue.3 , pp. 439-459
    • Escher, J.1    Simonett, G.2
  • 5
    • 0000010015 scopus 로고    scopus 로고
    • Classical solutions for Hele-Shaw models with surface tension
    • ESCHER, J. & SIMONETT, G. (1997) Classical solutions for Hele-Shaw models with surface tension. Adv. Differ. Equ., 2, 619-642.
    • (1997) Adv. Differ. Equ. , vol.2 , pp. 619-642
    • Escher, J.1    Simonett, G.2
  • 6
    • 21744445483 scopus 로고    scopus 로고
    • Existence results for the quasistationary motion of a free capillary liquid drop
    • GÜNTHER, M. & PROKERT, G. (1997) Existence results for the quasistationary motion of a free capillary liquid drop. Z. Anal. Anwendungen, 16, 311-348.
    • (1997) Z. Anal. Anwendungen , vol.16 , pp. 311-348
    • Günther, M.1    Prokert, G.2
  • 7
    • 0003134154 scopus 로고
    • Nonlinear evolution equations and the Euler flow
    • KATO, T. & LAI, C. Y. (1984) Nonlinear evolution equations and the Euler flow. J. Funct. Anal., 56, 15-28.
    • (1984) J. Funct. Anal. , vol.56 , pp. 15-28
    • Kato, T.1    Lai, C.Y.2
  • 8
  • 10
    • 0032350745 scopus 로고    scopus 로고
    • Existence results for Hele-Shaw flow driven by surface tension
    • PROKERT, G. (1998) Existence results for Hele-Shaw flow driven by surface tension. Eur. J. Appl. Math., 9, 195-221.
    • (1998) Eur. J. Appl. Math. , vol.9 , pp. 195-221
    • Prokert, G.1
  • 11
    • 0003318971 scopus 로고
    • An introduction solutions with nonzero surface tension
    • New York: Springer
    • RENARDY, M. & ROGERS, R. C. (1993) An Introduction Solutions with Nonzero Surface Tension. Texts in Applied Mathematics, vol. 13. New York: Springer.
    • (1993) Texts in Applied Mathematics , vol.13
    • Renardy, M.1    Rogers, R.C.2
  • 12
    • 0000503407 scopus 로고
    • On the breakdown of Hele-Shaw solutions with nonzero surface tension
    • TIAN, F. R. (1995) On the breakdown of Hele-Shaw solutions with nonzero surface tension. J. Nonlinear Sci., 5, 479-484.
    • (1995) J. Nonlinear Sci. , vol.5 , pp. 479-484
    • Tian, F.R.1
  • 13
    • 79953189984 scopus 로고    scopus 로고
    • Asymptotic behaviour of injection and suction for Hele-Shaw flow in R3 with surface tension near balls
    • Eindhoven, The Netherlands: Technische Universiteit Eindhoven
    • VONDENHOFF, E. (2006a) Asymptotic behaviour of injection and suction for Hele-Shaw flow in R3 with surface tension near balls. CASA-Report 06-42. Eindhoven, The Netherlands: Technische Universiteit Eindhoven.
    • (2006) CASA-Report 06-42
    • Vondenhoff, E.1
  • 14
    • 67649492560 scopus 로고    scopus 로고
    • Long-time behaviour of classical Hele-Shaw flows with injection near expanding balls
    • Eindhoven, The Netherlands: Technische Universiteit Eindhoven
    • VONDENHOFF, E. (2006b) Long-time behaviour of classical Hele-Shaw flows with injection near expanding balls. CASA-Report 06-19. Eindhoven, The Netherlands: Technische Universiteit Eindhoven.
    • (2006) CASA-Report 06-19
    • Vondenhoff, E.1
  • 15
    • 69849086003 scopus 로고    scopus 로고
    • Long-time asymptotics of Hele-Shaw flow for perturbed balls with injection and suction
    • VONDENHOFF, E. (2008) Long-time asymptotics of Hele-Shaw flow for perturbed balls with injection and suction. Interfaces Free Bound, 10, 483-502.
    • (2008) Interfaces Free Bound , vol.10 , pp. 483-502
    • Vondenhoff, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.