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Mostrando ítems 1-10 de 21
Artículo
The Rayleigh-Taylor condition for the evolution of irrotational fluid interfaces
(National Academy of Sciences, 2009-07-07)
For the free boundary dynamics of the two-phase Hele-Shaw and Muskat problems, and also for the irrotational incompressible Euler equation, we prove existence locally in time when the Rayleigh-Taylor condition is initially ...
Artículo
Incompressible flow in porous media with fractional diffusion
(IOP Publishing, 2009-08)
In this paper we study the heat transfer with a general fractional diffusion term of an incompressible fluid in a porous medium governed by Darcy’s law. We show formation of singularities with infinite energy and for finite ...
Artículo
Interpolation by hypercyclic functions for differential operators
(Elsevier, 2009-04)
We prove that, given a sequence of points in a complex domain Ω without accumulation points, there are functions having prescribed values at the points of the sequence and, simultaneously, having dense orbit in the space ...
Artículo
Structural and recurrence relations for hypergeometric-type functions by Nikiforov-Uvarov method
(Kent State University, 2009)
The functions of hypergeometric-type are the solutions y = yν(z) of the differential equation σ(z)y ′′ + τ(z)y ′ + λy = 0, where σ and τ are polynomials of degrees not higher than 2 and 1, respectively, and λ is a constant. ...
Artículo
A maximum principle for the Muskat problem for fluids with different densities
(Springer, 2009-03)
We consider the fluid interface problem given by two incompressible fluids with different densities evolving by Darcy’s law. This scenario is known as the Muskat problem for fluids with the same viscosities, being in two ...
Artículo
Driven and damped double sine-Gordon equation: The influence of internal modes on the soliton ratchet mobility
(2009)
This work studies the damped double sine-Gordon equation driven by a biharmonic force, where a parameter λ controls the existence and the frequency of an internal mode. The role of internal oscillations of the kink width ...
Artículo
Artículo
Contour dynamics for 2D active scalars
(European Mathematical Society, 2009-03)
Artículo
Common hypercyclic functions for multiples of convolution and non-convolution operators
(American Mathematical Society, 2009-11)
We prove the existence of a residual set of entire functions, all of whose members are hypercyclic for every nonzero scalar multiple of T, where T is the differential operator associated to an entire function of order less ...
Artículo
A continuation method for weakly contractive mappings under the interior condition
(Hindawi, 2009)
Recently, Frigon proved that, for weakly contractive maps, the property of having a fixed point is invariant by a certain class of homotopies, obtaining as a consequence a Leray-Schauder alternative for this class of maps ...