Two-dimensional Stokes flows with time-dependent free boundaries driven by surface tension

European Journal of Applied Mathematics

Volumn 8, Issue 4, 1997, Pages 311-329

  Richardson, S ^a  

^a UNIVERSITY OF EDINBURGH   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0642363880     PISSN: 09567925     EISSN: None     Source Type: Journal    
DOI: 10.1017/s0956792597003057     Document Type: Article

References (19)

1. CUMMINGS, L. J., HOWISON, S. D. & KING, J. R. (1997) Conserved quantities in Stokes flow with free surfaces. Phys. Fluids 9, 477-480.
2. HILLE, E. (1969) Lectures on Ordinary Differential Equations. Addison-Wesley.
3. HOPPER, R. W. (1984) Coalescence of two equal cylinders: Exact results for creeping viscous plane flow driven by capillarity. J. Am. Ceram. Soc. (Comm.) 67, C262-264.
4. HOPPER, R. W. (1990) Plane Stokes flow driven by capillarity on a free surface. J. Fluid Mech. 213, 349-375.
5. HOPPER, R. W. (1991) Plane Stokes flow driven by capillarity on a free surface. Part 2. Further developments. J. Fluid Mech. 230, 355-364.
6. HOPPER, R. W. (1992) Stokes flow of a cylinder and half-space driven by capillarity. J. Fluid Mech. 243, 171-181.
7. HOPPER, R. W. (1993) Capillarity-driven plane Stokes flow exterior to a parabola. Quart. J. Mech. Appl. Math. 46, 193-210.
8. HOWISON, S. D. & RICHARDSON, S. (1995) Cusp development in free boundaries, and two-dimensional slow viscous flows. Euro. J. Appl. Math. 6, 441-454.
9. KLEIN OBBINK, B. (1995) Moving boundary problems in relation with equations of Löwner-Kufareev type. PhD thesis, Eindhoven University of Technology.
10. RICHARDSON, S. (1968) Two-dimensional bubbles in slow viscous flows. J. Fluid Mech. 33, 475-493.
11. RICHARDSON, S. (1973) Two-dimensional bubbles in slow viscous flows. Part 2. J. Fluid Mech. 58, 115-127.
12. RICHARDSON, S. (1992) Two-dimensional slow viscous flows with time-dependent free boundaries driven by surface tension. Euro. J. Appl. Math. 3, 193-207.
13. RICHARDSON, S. (1996a) Hele-Shaw flows with free boundaries driven along infinite strips by a pressure difference. Euro. J. Appl. Math. 7, 345-366.
14. RICHARDSON, S. (1996b) Hele-Shaw flows with time-dependent free boundaries involving a concentric annulus. Phil. Trans. R. Soc. Lond. A 354, 2513-2553.
15. RICHARDSON, S. (1997a) On the classification of solutions to the zero-surface-tension model for Hele-Shaw free boundary flows. Quart. Appl. Math. 55, 313-319.
16. RICHARDSON, S. (1997b) Hele-Shaw flows with time-dependent free boundaries involving an infinite strip of fluid. Quart. Appl. Math. (to appear).
17. TANVEER, S. & VASCONCELOS, G. L. (1994) Bubble breakup in two-dimensional Stokes flow. Phys. Rev. Lett. 73, 2845-2848.
18. TANVEER, S. & VASCONCELOS, G. L. (1995) Time-evolving bubbles in two-dimensional Stokes flow. J. Fluid Mech. 301, 325-344.
19. VORST, G. A. L. VAN DE (1994) Modelling and numerical simulation of viscous sintering. PhD thesis, Eindhoven University of Technology.