The vanishing surface tension limit for the Hele-Shaw problem
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Publication:727924
DOI10.3934/dcdsb.2016108zbMath1356.35178OpenAlexW2549602045MaRDI QIDQ727924
Hyung-Ju Hwang, Young Min Oh, Marco Antonio Fontelos
Publication date: 21 December 2016
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdsb.2016108
PDEs in connection with fluid mechanics (35Q35) Singular perturbations in context of PDEs (35B25) Capillarity (surface tension) for incompressible viscous fluids (76D45) Perturbations in context of PDEs (35B20) Other free boundary flows; Hele-Shaw flows (76D27)
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Cites Work
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- Global existence and decay for solutions of the Hele-Shaw flow with injection
- Dynamics of a complex interface
- On a differential equation arising in a Hele Shaw flow moving boundary problem
- The one-phase Hele-Shaw problem with singularities
- From the Hele-Shaw experiment to integrable systems: a historical overview
- A simplified proof for a moving boundary problem for Hele-Shaw flows in the plane
- Classical solutions for Hele-Shaw models with surface tension
- On Hele-Shaw models with surface tension
- Local existence of classical solutions to the well-posed Hele-Shaw problem.
- Hele-Shaw problems in multidimensional spaces
- Long time regularity of solutions of the Hele--Shaw problem
- Exact estimates for the classical solutions to the free-boundary problem in the Hele-Shaw cell
- Conformal and potential analysis in Hele-Shaw cells.
- Large time behaviour of Hele-Shaw flow with injection or suction for perturbations of balls in RN
- Global Existence for a Translating Near-Circular Hele–Shaw Bubble with Surface Tension
- Regularity of one-phase Stefan problem near Lipschitz initial data
- Classical Fourier Analysis
- Non-newtonian Hele-Shaw flows in n ⩾2 dimensions
- A variational inequality approach to Hele-Shaw flow with a moving boundary
- Existence results for Hele–Shaw flow driven by surface tension
- Classical Solutions of Multidimensional Hele--Shaw Models
- Well-posedness of two-phase Hele–Shaw flow without surface tension
- Evolution of Hele-Shaw interface for small surface tension
- Global in time solution to the Hele-Shaw problem with a change of topology
- Regularity of Boundaries of Quadrature Domains in Two Dimensions
- Global solutions for small data to the Hele-Shaw problem
- Local regularization of the one-phase Hele-Shaw flow
