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Volumn 135, Issue 2, 1996, Pages 175-196

A Cauchy integral approach to Hele-Shaw problems with a free boundary: The case of zero surface tension

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EID: 0039176399 PISSN: 00039527 EISSN: None Source Type: Journal
DOI: 10.1007/BF02198454 Document Type: Article

Times cited : (17)

References (12)

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- Cherednichenko, V.G.¹

2
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- Global solutions for the small data to the Hele-Shaw problem
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- Constantin, P.¹ Pugh, M.²

3
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- Evolution d'une interface par capillarité et diffusion de volume I. Existence locale en temps
- J. DUCHON & R. ROBERT, Evolution d'une Interface par Capillarité et Diffusion de Volume I. Existence Locale en Temps, Ann. Inst. H. Poincaré, Analyse non linéaire 1, 1984, 361-378.
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- Duchon, J.¹ Robert, R.²

4
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- On a differential equation arising in a Hele-Shaw flow moving boundary problem
- B. GUSTAFSSON, On a Differential Equation Arising in a Hele-Shaw Flow Moving Boundary Problem, Ark. Mat. 22, 1984, 251-268.
- (1984) Ark. Mat. , vol.22 , pp. 251-268
- Gustafsson, B.¹

5
- 0000872629
- Applications of variational inequalities to a moving boundary problem for Hele-Shaw flows
- B. GUSTAFSSON, Applications of Variational Inequalities to a Moving Boundary Problem for Hele-Shaw Flows, SIAM J. Math. Anal. 16, 1985, 279-300.
- (1985) SIAM J. Math. Anal. , vol.16 , pp. 279-300
- Gustafsson, B.¹

6
- 0005379646
- Classification cf solutions in the problem of Hele-Shaw flows with an unknown boundary
- S. D. HOWISON & Yu. E. KHOKHLOV, Classification cf Solutions in the Problem of Hele-Shaw Flows with an Unknown Boundary, Sov. Phys. Dokl. 37, 1992, 416-418.
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- Howison, S.D.¹ Khokhlov, Yu.E.²

8
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- A simplified proof for a moving boundary problem for a Hele-Shaw flow in the plane
- M. REISSIG & L. V. WOLFERSDORF, A Simplified Proof for a Moving Boundary Problem for a Hele-Shaw Flow in the Plane, Ark. Mat. 31, 1993, 101-116.
- (1993) Ark. Mat. , vol.31 , pp. 101-116
- Reissig, M.¹ Wolfersdorf, L.V.²

9
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- Hele-Shaw flows with a free boundary produced by the injection of fluid into a narrow channel
- S. RICHARDSON, 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

10
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- A moment problem on Jordan domains
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11
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- in preparation
- M. SHELLEY, F. R. TIAN & K. WLODARSKI, Hele-Shaw Flows in a Time-dependent Gap, in preparation.
- Hele-Shaw Flows in a Time-dependent Gap
- Shelley, M.¹ Tian, F.R.² Wlodarski, K.³

12
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- On the breakdown of Hele-Shaw solutions with non-zero surface tension
- F. R. TIAN, On the Breakdown of Hele-Shaw Solutions with Non-zero Surface Tension, J. Nonlinear Sci. 5, 1995, 479-484.
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- Tian, F.R.¹

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