Crossref Citations
This article has been cited by the following publications. This list is generated based on data provided by Crossref.
Ockendon, J.R.
and
Howison, S.D.
2002.
Kochina and Hele-Shaw in modern mathematics, natural science and industry.
Journal of Applied Mathematics and Mechanics,
Vol. 66,
Issue. 3,
p.
505.
Siegel, Michael
Caflisch, Russel E.
and
Howison, Sam
2004.
Global existence, singular solutions, and ill‐posedness for the Muskat problem.
Communications on Pure and Applied Mathematics,
Vol. 57,
Issue. 10,
p.
1374.
Casademunt, Jaume
2004.
Viscous fingering as a paradigm of interfacial pattern formation: Recent results and new challenges.
Chaos: An Interdisciplinary Journal of Nonlinear Science,
Vol. 14,
Issue. 3,
p.
809.
Brau, Fabian
Davidovitch, Benny
and
Ebert, Ute
2008.
Moving boundary approximation for curved streamer ionization fronts: Solvability analysis.
Physical Review E,
Vol. 78,
Issue. 5,
Ye, J.
and
Tanveer, S.
2011.
Global Existence for a Translating Near-Circular Hele–Shaw Bubble with Surface Tension.
SIAM Journal on Mathematical Analysis,
Vol. 43,
Issue. 1,
p.
457.
Alimov, M. M.
2011.
Construction of exact solutions to the Muskat problem.
Lobachevskii Journal of Mathematics,
Vol. 32,
Issue. 4,
p.
404.
HE, ANDONG
and
BELMONTE, ANDREW
2011.
Inertial effects on viscous fingering in the complex plane.
Journal of Fluid Mechanics,
Vol. 668,
Issue. ,
p.
436.
Castro, Angel
Córdoba, Diego
Fefferman, Charles L.
Gancedo, Francisco
and
López-Fernández, María
2011.
Turning waves and breakdown for incompressible flows.
Proceedings of the National Academy of Sciences,
Vol. 108,
Issue. 12,
p.
4754.
Castro, Ángel
Córdoba, Diego
Fefferman, Charles
Gancedo, Francisco
and
López-Fernández, Mar\'ia
2012.
Rayleigh-Taylor breakdown for the Muskat problem with applications to water waves.
Annals of Mathematics,
Vol. 175,
Issue. 2,
p.
909.
Xie, Xuming
2012.
Local smoothing effect and existence for the one-phase Hele–Shaw problem with zero surface tension.
Complex Variables and Elliptic Equations,
Vol. 57,
Issue. 2-4,
p.
351.
Ye, J.
and
Tanveer, S.
2012.
Global solutions for a two-phase Hele-Shaw bubble for a near-circular initial shape.
Complex Variables and Elliptic Equations,
Vol. 57,
Issue. 1,
p.
23.
Malaikah, K.R.
2013.
The Two-Phase Hell-Shaw Flow: Construction of an Exact Solution.
International Journal of Applied Mechanics and Engineering,
Vol. 18,
Issue. 1,
p.
249.
Wang, Xiaoming
and
Zhang, Zhifei
2013.
Well-posedness of the Hele–Shaw–Cahn–Hilliard system.
Annales de l'Institut Henri Poincaré C, Analyse non linéaire,
Vol. 30,
Issue. 3,
p.
367.
Alimov, M. M.
2013.
Evolution of the boundary of a viscous fluid occupying a half-space type domain in a Hele-Shaw slot.
Fluid Dynamics,
Vol. 48,
Issue. 6,
p.
800.
Han, Daozhi
Sun, Dong
and
Wang, Xiaoming
2014.
Two‐phase flows in karstic geometry.
Mathematical Methods in the Applied Sciences,
Vol. 37,
Issue. 18,
p.
3048.
Bazaliy, B.V.
and
Vasylyeva, N.
2014.
The Two-Phase Hele-Shaw Problem with a Nonregular Initial Interface and Without Surface Tension.
Zurnal matematiceskoj fiziki, analiza, geometrii,
Vol. 10,
Issue. 1,
p.
3.
Kondratiuk, Paweł
and
Szymczak, Piotr
2015.
Steadily Translating Parabolic Dissolution Fingers.
SIAM Journal on Applied Mathematics,
Vol. 75,
Issue. 5,
p.
2193.
Alimov, M. M.
2016.
Unsteady motion of a bubble in a Hele-Shaw cell.
Fluid Dynamics,
Vol. 51,
Issue. 2,
p.
253.
Alimov, M. M.
2016.
Exact solution of the Muskat–Leibenzon problem for a growing elliptic bubble.
Fluid Dynamics,
Vol. 51,
Issue. 5,
p.
660.
Budek, Agnieszka
Kwiatkowski, Kamil
and
Szymczak, Piotr
2017.
Effect of mobility ratio on interaction between the fingers in unstable growth processes.
Physical Review E,
Vol. 96,
Issue. 4,