DSpace Community:
https://dspace.lboro.ac.uk/2134/89
2016-07-02T00:22:49Z
2016-07-02T00:22:49Z
Inverse scattering transform analysis of rogue waves using local periodization procedure
Randoux, Stephane
Suret, Pierre
El, G.A.
https://dspace.lboro.ac.uk/2134/21866
2016-06-30T09:14:16Z
2016-01-01T00:00:00Z
Title: Inverse scattering transform analysis of rogue waves using local periodization procedure
Authors: Randoux, Stephane; Suret, Pierre; El, G.A.
Abstract: The nonlinear Schr¨odinger equation (NLSE) stands out as the dispersive nonlinear partial differential equation that plays a
prominent role in the modeling and understanding of the wave phenomena relevant to many fields of nonlinear physics. The
question of random input problems in the one-dimensional and integrable NLSE enters within the framework of integrable tur-
bulence, and the specific question of the formation of rogue waves (RWs) has been recently extensively studied in this context.
The determination of exact analytic solutions of the focusing 1D-NLSE prototyping RW events of statistical relevance is now considered as the problem of central importance. Here we address this question from the perspective of the inverse scattering transform (IST) method that relies on the integrable nature of the wave equation. We develop a conceptually new approach to the RW classification in which appropriate, locally coherent structures are specifically isolated from a globally incoherent wave train to be subsequently analyzed by implementing a numerical IST procedure relying on a spatial periodization of the object under consideration. Using this approach we extend the existing classifications of the prototypes of RWs from standard breathers and their collisions to more general nonlinear modes characterized by their nonlinear spectra.
Description: This paper is in closed access until it is published.
2016-01-01T00:00:00Z
Circle of Sarkisov links on a Fano 3-fold
Ahmadinezhad, Hamid
Zucconi, Francesco
https://dspace.lboro.ac.uk/2134/21842
2016-06-27T13:34:55Z
2016-01-01T00:00:00Z
Title: Circle of Sarkisov links on a Fano 3-fold
Authors: Ahmadinezhad, Hamid; Zucconi, Francesco
Abstract: Copyright © Edinburgh Mathematical Society 2016For a general Fano 3-fold of index 1 in the weighted projective space ℙ(1, 1, 1, 1, 2, 2, 3) we construct two new birational models that are Mori fibre spaces in the framework of the so-called Sarkisov program. We highlight a relation between the corresponding birational maps, as a circle of Sarkisov links, visualizing the notion of relations in the Sarkisov program.
Description: This paper is in closed access until 23rd Nov 2016
2016-01-01T00:00:00Z
Re-thinking science capital: the role of ‘capital’ and ‘identity’ in mediating students’ engagement with mathematically demanding programmes at university
Hernandez-Martinez, Paul
Black, Laura
https://dspace.lboro.ac.uk/2134/21830
2016-06-27T09:17:01Z
2016-01-01T00:00:00Z
Title: Re-thinking science capital: the role of ‘capital’ and ‘identity’ in mediating students’ engagement with mathematically demanding programmes at university
Authors: Hernandez-Martinez, Paul; Black, Laura
Abstract: A wide body of literature has highlighted how high achievement in mathematics in secondary school does not necessarily motivate students to both choose and succeed on mathematically demanding programmes at post compulsory level. The recent Enterprising Science project (Archer et al, 2015) and before that, the ASPIRES project (Archer et al, 2013), have both highlighted that access to science capital is perhaps more important than prior achievement in shaping students’ aspirations and their future trajectories in STEM. In this paper, we critically analyse the notion of science capital and its role in mediating students’ choice of and experience of studying mathematically demanding degree programmes at university. Drawing on data from the TransMaths project, we present two cases – Stacey and Elton – who are both enrolled on the same ‘Mathematics for Physics’ course at university. We show that although both discuss access to science capital in narrating their choice of degree, they do so in different ways and this invariably interplays with different forms of identification with ‘Mathematics for Physics’. We conclude that there is a need to re-conceptualise science capital so that the dialectic relationship between its exchange and use value is theorized more fully. Whilst some students may access science capital as a means to accumulate capital (e.g. qualifications) for its own sake (exchange value), others appear to recognize the ‘use value’ of science learning and knowledge and this produces different forms of engagement with science (and mathematics). We therefore, argue that authoring oneself in the name of a STEM identity is crucial in mediating how one perceives science capital. Finally, we argue that mathematics should be a central part of this framework since it significantly contributes to the exchange value of science as a form of capital (especially Physics) but it also offers use value in scientific labour (e.g. in modelling scientific problems).
Description: This paper is in closed access until 12 months after the conference.
2016-01-01T00:00:00Z
Comments on 'Combined effect of variable viscosity and thermal conductivity on free convection flow of a viscous fluid in a vertical channel using DTM' by J.C. Umavathi and M. Shekar
Kay, Anthony
https://dspace.lboro.ac.uk/2134/21756
2016-06-23T09:04:06Z
2017-01-01T00:00:00Z
Title: Comments on 'Combined effect of variable viscosity and thermal conductivity on free convection flow of a viscous fluid in a vertical channel using DTM' by J.C. Umavathi and M. Shekar
Authors: Kay, Anthony
Abstract: A recent paper by Umavathi and Shekar addressed an important problem in thermal convection, but is unfortunately marred by several inadequacies.
Description: Closed access for 12 months after publication.
2017-01-01T00:00:00Z