20 citations · 32 across the 9 of their papers we have counts for
9 papers
A priori estimates for the system modelling nonhomogeneous asymmetric fluids
Aníbal Coronel, Enrique Fernández-Cara, Marko Rojas-Medar +1
In this paper, we prove some a priori estimates for a system of partial differential equations arising in the nonstationary flow of a nonhomogeneous incompressible asymmetric fluid…
Explicit calculation of multi-fold contour integrals of certain ratios of Euler gamma functions. Part 1
Ivan Gonzalez, Bernd A. Kniehl, Igor Kondrashuk +3
In this paper we proceed to study properties of Mellin-Barnes (MB) transforms of Usyukina-Davydychev (UD) functions. In our previous papers [Nuclear Physics B 870 (2013) 243], [Nuc…
Periodic solution and asymptotic stability for the magnetohydrodynamic equations with inhomogeneous boundary condition
Igor Kondrashuk, Eduardo A. Notte-Cuello, Mariano Poblete-Cantellano +1
We show, using the spectral Galerkin method together with compactness arguments, existence and uniqueness of the periodic strong solutions for the magnetohydrodynamics's type equat…
On the time-dependent grade-two model for the magnetohydrodynamic flow: 2D case
Igor Kondrashuk, Eduardo A. Notte-Cuello, Mariano Poblete-Cantellano +1
In this paper we discuss the MHD flow of a second grade fluid, in particular we prove the existence and uniqueness of a weak solution of a time-dependent grade two fluid model in a…
A local uniqueness result for an inverse problem to the system modelling nonhomogeneous asymmetric fluids
Aníbal Coronel, Marko Rojas-Medar
In this paper, we prove the local uniqueness of an inverse problem arising in the nonstationary flow of a nonhomogeneous incompressible asymmetric fluid in a bounded domain with sm…
On the approximation of turbulent fluid flows by the Navier-Stokes- equations on bounded domains
Juan Vicente Gutiérrez-Santacreu, Marko Antonio Rojas-Medar
The Navier-Stokes- equations belong to the family of LES (Large Eddy Simulation) models whose fundamental idea is to capture the influence of the small scales on the large ones…
Two-fold Mellin-Barnes transforms of Usyukina-Davydychev functions
Bernd Kniehl, Igor Kondrashuk, Eduardo A. Notte-Cuello +2
In our previous paper [Nucl.Phys. B 870 (2013) 243], we showed that multi-fold Mellin-Barnes (MB) transforms of Usyukina-Davydychev (UD) functions may be reduced to two-fold MB tra…
Solution to Bethe-Salpeter equation via Mellin-Barnes transform
Pedro Allendes, Bernd Kniehl, Igor Kondrashuk +2
We consider Mellin-Barnes transform of triangle ladder-like scalar diagram in d=4 dimensions. It is shown how the multi-fold MB transform of the momentum integral corresponding to…
Error bounds for semi-Galerkin approximations of nonhomogeneous incompressible fluids
P. Braz e Silva, M. A. Rojas-Medar
We consider the spectral semi-Galerkin method applied to the nonhomogeneous Navier-Stokes equations. Under certain conditions it is known that the approximate solutions constructed…