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Communications in Mathematical Physics
Volumn 268, Issue 2, 2006, Pages 465-479
The variable coefficient Hele-Shaw problem, integrability and quadrature identities
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EID: 33750011249     PISSN: 00103616     EISSN: 14320916     Source Type: Journal    
DOI: 10.1007/s00220-006-0099-9     Document Type: Article
Times cited : (28)
References (15)
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    • (1997) Comm. Math. Phys. , vol.190 , pp. 113-132
    • Berest, Y.Y.1    Loutsenko, I.M.2
  • 2
    • 84963950040 scopus 로고
    • Differential-difference operators associated to reflection groups
    • Dunkl, C.F.: Differential-difference operators associated to reflection groups. Trans. Amer. Math. Soc. 311, 181-191 (1989)
    • (1989) Trans. Amer. Math. Soc. , vol.311 , pp. 181-191
    • Dunkl, C.F.1
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    • 28844468865 scopus 로고    scopus 로고
    • Constrained reductions of the 2d Toda hierarchy, Hamiltonian structure and interface dynamics
    • Harnad, J., Loutsenko, I., Yermolayeva, O.: Constrained reductions of the 2d Toda hierarchy, Hamiltonian structure and interface dynamics. J. Math. Phys, 46, 112701 (2005)
    • (2005) J. Math. Phys , vol.46 , pp. 112701
    • Harnad, J.1    Loutsenko, I.2    Yermolayeva, O.3
  • 6
    • 0022733938 scopus 로고
    • Fingering in Hele-Shaw cells
    • Howison, S.D.: Fingering in Hele-Shaw cells. J.Fluid Mech. 167, 439-453 (1986)
    • (1986) J.Fluid Mech. , vol.167 , pp. 439-453
    • Howison, S.D.1
  • 7
    • 4243284590 scopus 로고
    • A new class of nonsingular exact solutions for laplacian pattern formation
    • Mineev-Weinstein, M.B., Dawson, S.P.: A New Class of Nonsingular Exact Solutions for Laplacian Pattern Formation. Phys. Rev. E 50, R24 (1994)
    • (1994) Phys. Rev. E , vol.50
    • Mineev-Weinstein, M.B.1    Dawson, S.P.2
  • 10
    • 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, part 4, 609-618 (1972)
    • (1972) J.Fluid Mech. , vol.56 , Issue.4 PART , pp. 609-618
    • Richardson, S.1
  • 11
    • 0003361311 scopus 로고
    • Quadrature domains
    • Berlin-Heidelberg-New York Springer-Verlag
    • Sakai, M.: Quadrature domains. Lecture Notes in Mathematics 934, Berlin-Heidelberg-New York Springer-Verlag, (1978)
    • (1978) Lecture Notes in Mathematics , vol.934
    • Sakai, M.1
  • 13
    • 0001060060 scopus 로고
    • Integrable hierarchies and dispersionless limit
    • Takasaki, K., Takebe, T.: Integrable hierarchies and dispersionless limit. Rev. Math. Phys. 7(5), 743-808 (1995)
    • (1995) Rev. Math. Phys. , vol.7 , Issue.5 , pp. 743-808
    • Takasaki, K.1    Takebe, T.2
  • 14
    • 0013137380 scopus 로고
    • Why the boundary of a round drop becomes a curve of order four
    • Providence, RI: Amer. Math. Soc.
    • Varchenko, A.N., Etingof, P.I.: Why the boundary of a round drop becomes a curve of order four. University Lecture. Series 3, Providence, RI: Amer. Math. Soc. (1994)
    • (1994) University Lecture. Series , vol.3
    • Varchenko, A.N.1    Etingof, P.I.2
  • 15
    • 0034349412 scopus 로고    scopus 로고
    • Conformal maps and integrable hierarchies
    • Wiegmann, P.B., Zabrodin, A.: Conformal maps and integrable hierarchies. Commun. Math. Phys. 213(3), 523-538 (2000)
    • (2000) Commun. Math. Phys. , vol.213 , Issue.3 , pp. 523-538
    • Wiegmann, P.B.1    Zabrodin, A.2

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.