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Volumn 216, Issue 2, 2005, Pages 387-438

The Hele-Shaw problem with surface tension in a half-plane: A model problem

Author keywords

Free boundary problems; Hele Shaw problem; Laplace equation; Surface tension; Weighted H lder spaces

Indexed keywords


EID: 24144488378     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jde.2005.03.007     Document Type: Article
Times cited : (12)

References (9)
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    • B.V. Bazaliy Stefan problem for the Laplace equation with regard for the curvature of the free boundary Ukrainian Math. J. 49 1997 1465-1484
    • (1997) Ukrainian Math. J. , vol.49 , pp. 1465-1484
    • Bazaliy, B.V.1
  • 2
    • 0038384640 scopus 로고    scopus 로고
    • A free boundary problem for an elliptic-parabolic system: Application to a model of tumor growth
    • B.V. Bazaliy A. Friedman A free boundary problem for an elliptic-parabolic system: Application to a model of tumor growth Comm. Partial Differential Equations 28 2003 517-560
    • (2003) Comm. Partial Differential Equations , vol.28 , pp. 517-560
    • Bazaliy, B.V.1    Friedman, A.2
  • 3
    • 24144500573 scopus 로고    scopus 로고
    • On the solvability of the Hele-Shaw model problem in weighted Hölder spaces in plane angle
    • B.V. Bazaliy N.V. Vasil'eva On the solvability of the Hele-Shaw model problem in weighted Hölder spaces in plane angle Ukrainian Math. J. 52 2000 1647-1660
    • (2000) Ukrainian Math. J. , vol.52 , pp. 1647-1660
    • Bazaliy, B.V.1    Vasil'eva, N.V.2
  • 4
    • 21144479953 scopus 로고
    • The Hele-Shaw problem and area preserving curve shortening motions
    • X. Chen The Hele-Shaw problem and area preserving curve shortening motions Arch. Rational Mech. Anal. 123 1993 117-151
    • (1993) Arch. Rational Mech. Anal. , vol.123 , pp. 117-151
    • Chen, X.1
  • 5
    • 0031478022 scopus 로고    scopus 로고
    • Classical solutions of multidimensional Hele-Shaw models
    • J. Escher G. Simonett Classical solutions of multidimensional Hele-Shaw models SIAM J. Math. Anal. 28 1997 1028-1047
    • (1997) SIAM J. Math. Anal. , vol.28 , pp. 1028-1047
    • Escher, J.1    Simonett, G.2
  • 7
    • 84974510185 scopus 로고
    • Persistence of corners in free boundaries in Hele-Shaw flow
    • J.R. King A.A. Lacey J.L. Vazquez Persistence of corners in free boundaries in Hele-Shaw flow European J. Appl. Math. 6 1995 455-490
    • (1995) European J. Appl. Math. , vol.6 , pp. 455-490
    • King, J.R.1    Lacey, A.A.2    Vazquez, J.L.3
  • 8
    • 0032350745 scopus 로고    scopus 로고
    • Existence results for Hele-Shaw problem driven by surface tension
    • G. Prokert Existence results for Hele-Shaw problem driven by surface tension European J. Appl. Math. 9 1998 195-221
    • (1998) European J. Appl. Math. , vol.9 , pp. 195-221
    • Prokert, G.1
  • 9
    • 24144440301 scopus 로고
    • On the third boundary value problem for the Laplace equation in a plane sector and applications to parabolic problems
    • V.A. Solonnikov E.V. Frolova On the third boundary value problem for the Laplace equation in a plane sector and applications to parabolic problems Algebra Anal. 2 1990 213-241
    • (1990) Algebra Anal. , vol.2 , pp. 213-241
    • Solonnikov, V.A.1    Frolova, E.V.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.