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Volumn 8, Issue 3, 1998, Pages 277-302

Sharp Estimates of the Distance from a Fixed Point to the Frontier of a Hele-Shaw Flow

Author keywords

Green function; Hele shaw flow; Martin function; Quadrature domain

Indexed keywords


EID: 0032329595     PISSN: 09262601     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1008693820578     Document Type: Article
Times cited : (15)

References (11)
  • 3
    • 0000872629 scopus 로고
    • Gustafsson, B.: 'Applications of variational inequalities to a moving boundary problem for Hele- Shaw flows', TRITA-MAT-1981-9, Math., Royal Inst. Tech., Stockholm, 1981; SIAM. J. Math. Anal. 16 (1985), 279-300.
    • (1985) SIAM. J. Math. Anal. , vol.16 , pp. 279-300
  • 4
    • 0028423461 scopus 로고
    • Properties of some balayage operators, with applications to quadrature domains and moving boundary problems
    • Gustafsson, B. and Sakai, M.: 'Properties of some balayage operators, with applications to quadrature domains and moving boundary problems', Nonlinear Anal. 22 (1994), 1221-1245.
    • (1994) Nonlinear Anal. , vol.22 , pp. 1221-1245
    • Gustafsson, B.1    Sakai, M.2
  • 6
    • 0004168443 scopus 로고
    • Cambridge Univ. Press, London
    • Lamb, H.: Hydrodynamics, Cambridge Univ. Press, London, 1932.
    • (1932) Hydrodynamics
    • Lamb, H.1
  • 7
    • 0011373529 scopus 로고
    • The moving boundary problem of potential theory
    • Margulis, A. S.: 'The moving boundary problem of potential theory', Adv. Math. Sci. Appl. 5 (1995), 603-629.
    • (1995) Adv. Math. Sci. Appl. , vol.5 , pp. 603-629
    • Margulis, A.S.1
  • 9
    • 84967713018 scopus 로고
    • Applications of variational inequalities to the existence theorem on quadrature domains
    • Sakai, M.: 'Applications of variational inequalities to the existence theorem on quadrature domains', Trans. Amer. Math. Soc. 276 (1983), 267-279.
    • (1983) Trans. Amer. Math. Soc. , vol.276 , pp. 267-279
    • Sakai, M.1
  • 10
    • 51249182401 scopus 로고
    • Solutions to the obstacle problem as Green potentials
    • Sakai, M.: 'Solutions to the obstacle problem as Green potentials', J. Anal. Math. 44 (1985), 97-116.
    • (1985) J. Anal. Math. , vol.44 , pp. 97-116
    • Sakai, M.1
  • 11
    • 0015491441 scopus 로고
    • Hele-Shaw flows with a free boundary produced by the injection of fluid into a narrow channel
    • Richardson, S.: 'Hele-Shaw flows with a free boundary produced by the injection of fluid into a narrow channel', J. Fluid Mech. 56 (1972), 609-618.
    • (1972) J. Fluid Mech. , vol.56 , pp. 609-618
    • Richardson, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.