[1] Atsushi Toramaru. Numerical study of nucleation and growth of bubbles in
viscous magmas. Journal of Geophysical Research: Solid Earth, 100:1913–
1931, 2 1995.
[2] T. Shimano and S. Nakada. Vesiculation path of ascending magma in the
1983 and the 2000 eruptions of miyakejima volcano, japan. Bulletin of Volcanology, 68:549–566, 5 2006.
[3] C. Klug, K. Cashman, and C. Bacon. Structure and physical characteristics of pumice from the climactic eruption of mount mazama (crater lake),
oregon. Bulletin of Volcanology, 64:486–501, 10 2002.
[4] H´el`ene Gaonac’h, Shaun Lovejoy, and Daniel Schertzer. Scaling vesicle
distributions and volcanic eruptions. Bulletin of Volcanology, 67:350–357, 4
2005.
[5] Drok L Sahagian, Alfred T Anderson, and Brian Ward. Vold fi ology numerical model with natural examples. 1974:49–56, 1989.
[6] H. Gaonac’h, S. Lovejoy, J. Stix, and D. Scherzter. A scaling growth model
for bubbles in basaltic lava flows. Earth and Planetary Science Letters, 1996.
[7] H Gaonac’h Ay, J Stix, and S Lovejoy. Scaling effects on vesicle shape, size
and heterogeneity of lavas from mount etna, 1996.
[8] S. Lovejoy, H. Gaonac’h, and Daniel Schertzer. Bubble distributions and
dynamics: The expansion-coalescence equation. Journal of Geophysical
Research: Solid Earth, 109:1–16, 2004.
85
[9] Simona Mancini, Louis Forestier-Coste, Alain Burgisser, Franc¸ois James,
and Jonathan Castro. An expansion-coalescence model to track gas bubble
populations in magmas. Journal of Volcanology and Geothermal Research,
313:44–58, 2016.
[10] Michael Manga and H A Stone. Interactions between bubbles in magmas and
lavas: effects of bubble deformation. Journal of Volcanology and Geothermal Research, 63:267–279, 1994.
[11] M. Masotta, H. Ni, and H. Keppler. In situ observations of bubble growth in
basaltic, andesitic and rhyodacitic melts. Contributions to Mineralogy and
Petrology, 167:1–14, 2014.
[12] Takafumi Maruishi and Atsushi Toramaru. Effect of bubble deformation on
the coalescence of two ascending bubbles in a viscous liquid. Physics of
Fluids, 34, 4 2022.
[13] Michael Manga and H A Stone. Collective hydrodynamics of deformable
drops and bubbles in dilute low reynolds number suspensions. Journal of
Fluid Mechanics, 300:231–263, 1995.
[14] David Saintillan, Eric S.G. Shaqfeh, and Eric Darve. The growth of concentration fluctuations in dilute dispersions of orientable and deformable particles under sedimentation. Journal of Fluid Mechanics, 553:347–388, 2006.
[15] J. Rallison. The deformation of small viscous drops and bubbles in shear
flows. Annual Review of Fluid Mechanics, 16:45–66, 1 1984.
[16] S. Haber and G. Hetsroni. The dynamics of a deformable drop suspended
in an unbounded stokes flow. Journal of Fluid Mechanics, 49:257–277, 9
1971.
[17] Michael Manga and H A Stone. Buoyancy-driven interactions between two
deformable viscous drops. Journal of Fluid Mechanics, 256:647–683, 1993.
[18] Alexander Z. Zinchenko, Michael A. Rother, and Robert H. Davis. Cusping, capture, and breakup of interacting drops by a curvatureless boundaryintegral algorithm. Journal of Fluid Mechanics, 391:249–292, 1999.
86
[19] C T Nguyen, H M Gonnermann, Y Chen, C Huber, A A Maiorano, A Gouldstone, and J Dufek. Film drainage and the lifetime of bubbles. Geochem.
Geophys. Geosyst, 14:3616–3631, 2013.
[20] JOSEPH Kushner, MICHAEL A. Rother, and ROBERT H. Davis.
Buoyancy-driven interactions of viscous drops with deforming interfaces.
Journal of Fluid Mechanics, 446:253–269, 2001.
[21] A. Z. Zinchenko. Calculation of the effectiveness of gravitational coagulation of drops with allowance for internal circulation. Journal of Applied
Mathematics and Mechanics, 46:58–65, 1982.
[22] Gesse A. Roure and Robert H. Davis. Modelling of particle capture by expanding droplets. Journal of Fluid Mechanics, 912, 2021.
[23] Gesse A. Roure, Jenna Trost, and Robert H. Davis. Particle capture by expanding droplets: effects of inner diffusion. Journal of Fluid Mechanics,
948, 10 2022.
[24] Man Hoi Lee. On the validity of the coagulation equation and the nature of
runaway growth. Icarus, 143:74–86, 2000.
[25] F Xiao, T Yabe, and T Ito. I-12 computer physics communications, 1996.
[26] F Xiao, T Yabe, and T Ito. Constructing oscillation preventing scheme for
advection equation by rational function, 1996.
[27] S. K. Friedlander and C. S. Wang. The self-preserving particle size distribution for coagulation by brownian motion. Journal of Colloid And Interface
Science, 22:126–132, 1966.
[28] C. Hayashi and Y. Nakagawa. Size distribution of grains growing by thermal
grain-grain collision. Progress of Theoretical Physics, 54:93–103, 1975.
[29] P. G.J. van Dongen and M. H. Ernst. Scaling solutions of smoluchowski’s
coagulation equation. Journal of Statistical Physics, 50:295–329, 1988.
[30] Cueille S and Sire C. Droplet nucleation and smoluchowski’s equation with
growth and injection of particles st´e phane cueille and cl´e ment sire, 1998.
87
[31] N. G. Lensky, O. Navon, and V. Lyakhovsky. Bubble growth during decompression of magma: Experimental and theoretical investigation. Journal of
Volcanology and Geothermal Research, 129:7–22, 2004.
[32] B. F. Houghton, J. Taddeucci, D. Andronico, H. M. Gonnermann, M. Pistolesi, M. R. Patrick, T. R. Orr, D. A. Swanson, M. Edmonds, D. Gaudin,
R. J. Carey, and P. Scarlato. Stronger or longer: Discriminating between
hawaiian and strombolian eruption styles. Geology, 44:163–166, 2 2016.
[33] E. A. Parfitt and L. Wilson. Explosive volcanic eruptions―ix. the transition
between hawaiian‐style lava fountaining and strombolian explosive activity.
Geophysical Journal International, 121:226–232, 1995.
[34] L. Wilson and J. W. Head. Ascent and eruption of basaltic magma on the
earth and moon. Journal of Geophysical Research, 86:2971–3001, 1981.
[35] E. Bouche, S. Vergniolle, T. Staudacher, A. Nercessian, J. C. Delmont,
M. Frogneux, F. Cartault, and A. Le Pichon. The role of large bubbles detected from acoustic measurements on the dynamics of erta ’ale lava lake
(ethiopia). Earth and Planetary Science Letters, 295:37–48, 2010.
88
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