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Physical review letters, ISSN 1079-7114, 2013, Volume 111, Issue 3, p. 034502
We study the elastic version of the Saffman-Taylor problem: the Hele-Shaw displacement of a viscous liquid by a gas underneath an elastic membrane. We derive... 
MEDIA | VISCOUS LIQUID | PHYSICS, MULTIDISCIPLINARY | HELE-SHAW CELL
Journal Article
Journal of fluid mechanics, ISSN 0022-1120, 12/2015, Volume 784, pp. 487 - 511
The injection of fluid into the narrow liquid-filled gap between a rigid plate and an elastic membrane drives a displacement flow that is controlled by the... 
Papers | Hele-Shaw flows | low-Reynolds-number flows | flow-structure interactions | STEADY PROPAGATION | MECHANICS | SEMIINFINITE BUBBLE | FLUID | CHANNEL | FINGER | PHYSICS, FLUIDS & PLASMAS | PENETRATION | HELE-SHAW CELL | Fluid mechanics | Membranes | Mathematical models | Simulation | Experiments
Journal Article
Advances in Mathematics, ISSN 0001-8708, 01/2016, Volume 286, pp. 32 - 104
We study the dynamics of the interface between two incompressible fluids in a two-dimensional porous medium whose flow is modeled by the Muskat equations. For... 
Muskat | Moving interfaces | Free boundary problems | Hele-Shaw | Regularity
Journal Article
Annales de l'Institut Henri Poincaré / Analyse non linéaire, ISSN 0294-1449, 05/2013, Volume 30, Issue 3, pp. 367 - 384
We study the well-posedness of the Hele–Shaw–Cahn–Hilliard system modeling binary fluid flow in porous media with arbitrary viscosity contrast but matched... 
Blow-up criterion | Hele–Shaw–Cahn–Hilliard | Well-posedness | Hele-Shaw-Cahn-Hilliard | EXISTENCE | MATHEMATICS, APPLIED | FLUID | CELL | FLOW
Journal Article
Proceedings of the National Academy of Sciences - PNAS, ISSN 1091-6490, 2019, Volume 116, Issue 21, pp. 10258 - 10263
Journal Article
Physical review letters, ISSN 1079-7114, 2010, Volume 104, Issue 4, p. 044501
In the gravity field, density changes triggered by a kinetic scheme as simple as A + B -> C can induce or affect buoyancy-driven instabilities at a horizontal... 
PHYSICS, MULTIDISCIPLINARY | CONVECTION | INTERFACES | POROUS-MEDIA | FLOWS | HELE-SHAW CELL | GRADIENTS
Journal Article
Proceedings of the Combustion Institute, ISSN 1540-7489, 2019, Volume 37, Issue 2, pp. 1937 - 1943
The stability of a planar flame front propagating between two parallel adiabatic plates inclined at an arbitrary angle is investigated in the frame of... 
Combustion wave | Hele–Shaw cell | Flame instabilities | Hele-Shaw cell | ENGINEERING, CHEMICAL | LOSSES | HEAT | THERMODYNAMICS | MOMENTUM | ENERGY & FUELS | ENGINEERING, MECHANICAL | Analysis | Numerical analysis
Journal Article
Journal of functional analysis, ISSN 0022-1236, 2017, Volume 273, Issue 10, pp. 3061 - 3093
We consider weak solutions to a problem modeling tumor growth. Under certain conditions on the initial data, solutions can be obtained by passing to the stiff... 
Porous medium equation | Free boundary problems | Tumor growth | Hele–Shaw equation | OBSTACLE PROBLEM | MATHEMATICS | POROUS-MEDIUM EQUATION | REGULARITY | Hele-Shaw equation | MEDIA EQUATION | BOUNDARY | FLOW | Analysis | Tumors | Analysis of PDEs | Mathematics
Journal Article
Water resources research, ISSN 0043-1397, 2016, Volume 52, Issue 2, pp. 773 - 790
Journal Article
Journal of computational physics, ISSN 0021-9991, 2018, Volume 364, pp. 73 - 94
Journal Article
Journal of fluid mechanics, ISSN 0022-1120, 05/2017, Volume 819, pp. 121 - 146
Journal Article
Discrete and Continuous Dynamical Systems - Series S, ISSN 1937-1632, 10/2018, Volume 11, Issue 5, pp. 991 - 1010
We study the long-time behavior of solutions of the one-phase Stefan problem in inhomogeneous media in dimensions n >= 2. Using the technique of rescaling... 
Homogenization | Hele-Shaw problem | Stefan problem | Long-time behavior | Viscosity solutions | MATHEMATICS, APPLIED | homogenization | long-time behavior | EQUATIONS | FREE-BOUNDARY | CONVERGENCE | viscosity solutions | HELE-SHAW
Journal Article
Transactions of the American Mathematical Society, ISSN 0002-9947, 04/2019, Volume 372, Issue 4, pp. 2255 - 2286
We first prove local-in-time well-posedness for the Muskat problem, modeling fluid flow in a two-dimensional inhomogeneous porous media. The permeability of... 
MATHEMATICS | FINITE-TIME SPLASH | HELE-SHAW FLOW | GLOBAL EXISTENCE | SINGULARITIES | SOLVABILITY | DYNAMICS | ABSENCE
Journal Article