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Volumn 15, Issue 4, 2005, Pages 641-667

The one-phase Hele-Shaw problem with singularities

Author keywords

Free boundary; Hele Shaw flow; singularity analysis; viscosity solutions

Indexed keywords


EID: 33644997021     PISSN: 10506926     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02922248     Document Type: Article
Times cited : (12)

References (9)
  • 1
    • 0001055847 scopus 로고    scopus 로고
    • Regularity of the free boundary in parabolic phase-transition problems
    • 10.1007/BF02551583 1397563 0891.35164
    • I. Athanasopoulos L. Caffarelli S. Salsa 1996 Regularity of the free boundary in parabolic phase-transition problems Acta Math. 176 245 282 10.1007/BF02551583 1397563 0891.35164
    • (1996) Acta Math. , vol.176 , pp. 245-282
    • Athanasopoulos, I.1    Caffarelli, L.2    Salsa, S.3
  • 2
    • 84990604298 scopus 로고
    • Harnack inequality approach to the regularity of free boundaries, Part II: Flat free boundaries are Lipschitz
    • 10.1002/cpa.3160420105 973745 0676.35086
    • L. A. Caffarelli 1989 Harnack inequality approach to the regularity of free boundaries, Part II: Flat free boundaries are Lipschitz Comm. Pure Appl. Math. 42 55 78 10.1002/cpa.3160420105 973745 0676.35086
    • (1989) Comm. Pure Appl. Math. , vol.42 , pp. 55-78
    • Caffarelli, L.A.1
  • 4
    • 33644765716 scopus 로고
    • Harmonic functions in Lipschitz domains, Harmonic analysis in Euclidean spaces, Part 1
    • Amer. Math. Soc. Providence, R.I.
    • Dahlberg, B. E. Harmonic functions in Lipschitz domains, Harmonic analysis in Euclidean spaces, Part 1, 313-322,Proc. Sympos. Pure Math., Part XXXV, Amer. Math. Soc., Providence, R.I., (1979).
    • (1979) Proc. Sympos. Pure Math., Part XXXV , pp. 313-322
    • Dahlberg, B.E.1
  • 5
    • 0022664109 scopus 로고
    • Cusp development in Hele-Shaw flow with a free surface
    • 10.1137/0146003 821438 0592.76042
    • S. D. Howison 1986 Cusp development in Hele-Shaw flow with a free surface SIAM J. Appl. Math. 46 20 26 10.1137/0146003 821438 0592.76042
    • (1986) SIAM J. Appl. Math. , vol.46 , pp. 20-26
    • Howison, S.D.1
  • 6
    • 0043245213 scopus 로고    scopus 로고
    • Uniqueness and Existence result of Hele-Shaw and Stefan problem
    • 1044.76019 10.1007/s00205-003-0251-z
    • I. Kim 2003 Uniqueness and Existence result of Hele-Shaw and Stefan problem Arch. Rat. Meck Anal. 168 299 328 1044.76019 10.1007/s00205-003-0251-z
    • (2003) Arch. Rat. Meck Anal. , vol.168 , pp. 299-328
    • Kim, I.1
  • 7
    • 84867991392 scopus 로고    scopus 로고
    • Regularity of free boundary in one phase Hele-Shaw problem
    • to appear
    • Kim, I. Regularity of free boundary in one phase Hele-Shaw problem,J. Differential Equations, to appear.
    • J. Differential Equations
    • Kim, I.1
  • 9
    • 84974510185 scopus 로고
    • Persistence of corners in free boundaries in Hele-Shaw flow
    • 1363758 0840.76016
    • J. R. King A. A. Lacey J. L. Vazquez 1995 Persistence of corners in free boundaries in Hele-Shaw flow European J. Appl. Math. 6 455 490 1363758 0840.76016
    • (1995) European J. Appl. Math. , vol.6 , pp. 455-490
    • King, J.R.1    Lacey, A.A.2    Vazquez, J.L.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.