Large-time rescaling behaviours of Stokes and Hele-Shaw flows driven by injection
DOI10.1017/S0956792510000264zbMath1209.35157arXiv0906.0916MaRDI QIDQ3081336
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Publication date: 7 March 2011
Published in: European Journal of Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0906.0916
PDEs in connection with fluid mechanics (35Q35) Stokes and related (Oseen, etc.) flows (76D07) Capillarity (surface tension) for incompressible viscous fluids (76D45) Free boundary problems for PDEs (35R35) Complex variables methods applied to problems in fluid mechanics (76M40) Other free boundary flows; Hele-Shaw flows (76D27) Polynomial solutions to PDEs (35C11)
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Cites Work
- On a differential equation arising in a Hele Shaw flow moving boundary problem
- An exact solution to the one-phase zero-surface-tension Hele-Shaw free- boundary problem
- Two-dimensional Stokes and Hele-Shaw flows with free surfaces
- Infinite lifetime for the starlike dynamics in Hele-Shaw cells
- Hele Shaw flows with a free boundary produced by the injection of fluid into a narrow channel
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