20 citations · 81 across the 20 of their papers we have counts for
20 papers
Notes on obstructions in the hyperbolic Clifford algebra bundle structure
J. M. Hoff da Silva, E. Notte-Cuello
Starting from a general analysis of obstruction classes, we develop the investigation of obstructions associated with the bundle structure of the hyperbolic Clifford algebra. By ta…
A simple way to reduce the number of contours in the multi-fold Mellin-Barnes integrals
Mauricio Diaz, Ivan Gonzalez, Igor Kondrashuk +1
Mellin-Barnes integral representation of one-loop off-shell box massless diagram is five-fold by construction. On the other hand, it is known from the year 1992 that it may be redu…
Multi-fold contour integrals of certain ratios of Euler gamma functions from Feynman diagrams: orthogonality of triangles
Ivan Gonzalez, Igor Kondrashuk, Eduardo A. Notte-Cuello +1
We observe a property of orthogonality of the Mellin-Barnes transformation of the triangle one-loop diagrams, which follows from our previous papers [JHEP {\bf 0808} (2008) 106, JH…
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…