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Artículo
Analytical and numerical stability analysis of a toroidal wheel with nonholonomic constraints
(Springer, 2024-02)
In this paper, a detailed and comprehensive linear stability analysis of a rolling toroidal wheel is performed. The wheel is modeled as a rigid toroid-shaped body rolling without slipping on a horizontal surface. The ...
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Phase diagram of the two-fluid Lipkin model: A "butterfly" catastrophe
(American Physical Society, 2016-03-31)
Background: In the past few decades quantum phase transitions have been of great interest in nuclear physics. In this context, two-fluid algebraic models are ideal systems to study how the concept of quantum phase transition ...
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The Heterogeneous Flexible Periodic Vehicle Routing Problem: Mathematical formulations and solution algorithms
(Elsevier, 2022-05)
The aim of this paper is to introduce the Flexible Periodic Vehicle Routing Problem with Heterogeneous Fleet, a variant of the Periodic Vehicle Routing Problem. Flexibility is introduced in service schedules and delivered ...
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On the integrability problem for the Hopf-zero singularity and its relation with the inverse Jacobi multiplier
(Elsevier Inc., 2021)
In this paper we use the orbital normal form of the nondegenerate Hopf-zero singularity to obtain necessary conditions for the existence of first integrals for such singularity. Also, we analyze the relation between the ...
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Error analysis of proper orthogonal decomposition data assimilation schemes with grad–div stabilization for the Navier–Stokes equations
(Elsevier, 2022-09)
The error analysis of a proper orthogonal decomposition (POD) data assimilation (DA) scheme for the Navier–Stokes equations is carried out. A grad–div stabilization term is added to the formulation of the POD method. Error ...
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On completely continuous maps from locally convex spaces to L1
(European Mathematical Society, 1990)
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Artículo
POD-ROMs for Incompressible Flows Including Snapshots of the Temporal Derivative of the Full Order Solution
(Society for Industrial and Applied Mathematics (SIAM), 2023)
In this paper we study the influence of including snapshots that approach the velocitytime derivative in the numerical approximation of the incompressible Navier--Stokes equations bymeans of proper orthogonal ...
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Equivalent quasi-norms on generalized Orlicz spaces
(Ele-Math, 2023)
In this paper we show that the equivalence among the classical quasi-norms of the generalized Orlicz spaces XΦ — the Orlicz quasi-norm, the Luxemburg quasi-norm and the Amemiya quasi-norm — holds under some mild conditions ...
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On the number of order types in integer grids of small size
(Elsevier, 2021)
Let and be two sets of n labeled points in general position in the plane. We say that these two point sets have the same order type if for every triple of indices , is above the directed line from to if and only if ...