Derivation of the Zakharov equations
Benjamin Texier (2005)
Journées Équations aux dérivées partielles
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Benjamin Texier (2005)
Journées Équations aux dérivées partielles
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Nishiyama, Seiya, Da Providência, João, Providência, Constança, Cordeiro, Flávio, Komatsu, Takao (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Siriwat, Piyanuch, Meleshko, Sergey V. (2008)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Angel Castro, Diego Córdoba, Francisco Gancedo (2010)
Journées Équations aux dérivées partielles
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We consider the dynamics of an interface given by two incompressible fluids with different characteristics evolving by Darcy’s law. This scenario is known as the Muskat problem, being in 2D mathematically analogous to the two-phase Hele-Shaw cell. The purpose of this paper is to outline recent results on local existence, weak solutions, maximum principles and global existence.
Kaladze, T., Rogava, J., Tsamalashvili, L., Tsiklauri, M. (2007)
Bulletin of TICMI
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Marija Kujumdzieva-Nikoloska, Jordanka Mitevska (2005)
Kragujevac Journal of Mathematics
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