#### Submissions from 2010

Spectral Theory of Semibounded Sturm-Liouville Operators with Local Interactions on a Discrete Set, Sergio Albeverio, Aleksey Kostenko, and Mark Malamud

Study of the Photoinduced Surface Relief Modulation in Photopolymers caused by Illumination with a Gaussian Beam of Light, Tzvetanka Babeva, Dana Mackey, Suzanne Martin, Izabela Naydenova, and Vincent Toal

Two-way Diffusion Model for Short Exposure Holographic Grating Formation in Acrylamide-based Photopolymer, Tzvetanka Babeva, Izabela Naydenova, Dana Mackey, Suzanne Martin, and Vincent Toal

Extended Green-Liouville asymptotics and vacuum polarization for lukewarm black holes, Cormac Breen and Adrian Ottewill

Inverse scattering transform for the Degasperis–Procesi equation, Adrian Constantin, Rossen Ivanov, and Jonatan Lenells

Multi–component NLS Models on Symmetric Spaces: Spectral Properties versus Representations Theory, Vladimir Gerdjikov and Georgi Grahovski

On the socles of characteristic subgroups of Abelian p-groups, Brendan Goldsmith and Peter Danchev

The maximal pure spectrum of an Abelian group, Brendan Goldsmith and Ruediger Goebel

Schrödinger Operators with δ'Interactions and the Krein–Stieltjes String, Aleksey Kostenko and M. M. Malamud

A Diffusion Model for Spatially Dependent Photopolymerization, Dana Mackey, Tzvetanka Babeva, Izabela Naydenova, and VIncent Toal

Heat Transfer through the Boundary Layer on a Moving Cylindrical Fibre, Brendan Redmond and David McDonnell

A Model for Predicting Extragalactic Jet Lifetimes, Daniel S. Spicer, Robert Bingham, and Stephen O'Sullivan

From Permutahedron to Aassociahedron, Colum Watt and Thomas Brady

From Permutahedron to Associahedron, Colum Watt and Thomas Brady

Climbing Eements in Finite Coxeter Groups, Colum Watt, Thomas Brady, and Aisling Kenny

#### Submissions from 2009

On the socles of characteristic subgroups of Abelian p-groups, P. V. Danchev and Brendan Goldsmith

Algebraic entropy for Abelian groups, Dikran Dikranjan, Brendan Goldsmith, Luigi Salce, and Paolo Zanardo

Nonideal Magnetohydrodynamic Turbulent Decay in Molecular Clouds, Turlough Downes and Stephen O'Sullivan

Existence of infinitely many distinct solutions to the quasi-relativistic Hartree-Fock equations, Mattias Enstedt and Michael Melgaard

On modules which are self-slender, R. Gobel, Brendan Goldsmith, and O. Kolman

Phase Transitions in Materials with Thermal Memory: the Case of Unequal Conductivities, Murrough Golden

On the socles of fully invariant Abelian p-groups, Brendan Goldsmith and P. V. Danchev

Generalised Fourier Transform and Perturbations to Soliton Equations, Georgi Grahovski and Rossen Ivanov

Converging Flow Between Coaxial Cones, O. Hall, A. D. Gilbert, and C. P. Hills

Nonaxisymmetric Stokes Flow Between Concentric Cones, O. Hall, C. P. Hills, and A. D. Gilbert

Equations of the Camassa-Holm Hierarchy, Rossen Ivanov

Two component integrable systems modelling shallow water waves: the constant vorticity case, Rossen Ivanov

An Analysis of Drug Dissolution Rates in the USP 24 Type 2 Apparatus, David McDonnell, Brendan Redmond, Deirdre M. D'Arcy, Anne Marie Healy, and Owen Corrigan

Stochastic particle acceleration in the lobes of giant radio galaxies, Stephen O'Sullivan, Brian Reville, and Andrew Taylor

Daemon Decay and Inflation, Emil Prodanov

#### Submissions from 2008

On an integrable two-component Camassa-Holm shallow water system, Adrian Constantin and Rossen Ivanov

Nearly-Hamiltonian Structure for Water Waves with constant vorticity, Adrian Constantin, Rossen Ivanov, and Emil Prodanov

Existence of a solution to Hartree-Fock equations with decreasing magnetic field, Mattias Enstedt and Michael Melgaard

Higher derivatives of spectral functions associated with one-dimensional schrodinger operators, Daphne Gilbert, B.J. Harris, and S.M. Riehl

Algebraic Discretization of the Camassa-Holm and Hunter-Saxton Equations, Rossen Ivanov

Non-existence of a minimizer to the Hartree-Fock functional, Michael Melgaard and Mattias Enstedt

Interacting Jets From Binary Protostars, Gareth Murphy, Thibaut Lery, Stephen O'Sullivan, Daniel S. Spicer, Francesca Bacciotti, and Alex Rosen

Equation of State for a van der Waals Universe during Reissner–Nordstrom Expansion, Emil Prodanov, Rossen Ivanov, and Vesselin Gueorguiev

Environmental limits on the nonresonant cosmic-ray current-driven instability, Brian Reville, John Kirk, Peter Duffy, and Stephen O'Sullivan

The transport of Cosmic Rays in Self‐Excited Magnetic Turbulence, Brian Reville, Stephen O'Sullivan, Peter Duffy, and John Kirk

Non-crossing Partition Lattices in Finite Real Reflection Groups, Colum Watt and Thomas Brady

#### Submissions from 2007

Hamiltonian formulation, nonintegrability and local bifurcations for the Ostrovsky equation, S. Roy Choudhury, Rossen Ivanov, and Yue Liu

Krylov subspaces from bilinear representations of nonlinear systems, Marissa Condon and Rossen Ivanov

Generalised Fourier transform for the Camassa-Holm hierarchy, Adrian Constantin, Vladimir Gerdjikov, and Rossen Ivanov

Nearly-Hamiltonian Structure for Water Waves with Constant Vorticity, Adrian Constantin, Rossen Ivanov, and Emil Prodanov

On cosmall Abelian groups, Brendan Goldsmith and O. Kolman

Some transitivity results for torsion Abelian groups, Brendan Goldsmith and Lutz Strungmann

A note on clean abelian groups, Brendan Goldsmith and P. Vamos

Slow Flow Between Concentric Cones, O. Hall, C. P. Hills, and A. D. Gilbert

Conformal and geometric properties of the Camassa-Holm hierarchy, Rossen Ivanov

Water waves and Integrability, Rossen Ivanov

Optimising the ratio of horseradish peroxidase and glucose oxidase on a bienzyme electrode: comparison of a theoretical and experimental approach, Dana Mackey, Anthony Killard, Adriano Ambrosi, and Malcolm Smyth

A Three‐Dimensional Numerical Method for Modelling Weakly Ionized Plasmas, Stephen O'Sullivan and Turlough Downes

Reissner-Nordstrom Expansion, Emil Prodanov, Rossen Ivanov, and Vesselin Gueorguiev

Reissner–Nordstrom Expansion, Emil Prodanov, Rossen Ivanov, and Vesselin Gueorguiev

A cosmic ray current-driven instability in partially ionised media, Brian Reville, John Kirk, Peter Duffy, and Stephen O'Sullivan

Shellability of Noncrossing Partition Lattices, Colum Watt, Thomas Brady, and Christos Athanasiadis

#### Submissions from 2006

Inverse Scattering Transform for the Camassa-Holm equation, Adrian Constantin, Vladimir Gerdjikov, and Rossen Ivanov

Poisson structure and Action-Angle variables for the Camassa-Holm equation, Adrian Constantin and Rossen Ivanov

Discourse on the interface of Matheatics and Physics: a panel discussion sponsored by DIT and the RIA., Brendan Goldsmith

Classifying E-algebras over Dedekind domains, Brendan Goldsmith and R. Gobel

Generalised E-Algebras over valuation domains, Brendan Goldsmith and P. Zanardo

The Asymptotics of Neutral Curve Crossing in Taylor–Dean Flow, C. P. Hills and A. P. Bassom

Extended Camassa-Holm hierarchy and conserved quantities, Rossen Ivanov

Hamiltonian formulation and integrability of a complex symmetric nonlinear system, Rossen Ivanov

An Explicit Scheme for Multifluid Magnetohydrodynamics, Stephen O'Sullivan and Turlough Downes

$h$-Vectors of Generalized Associahedra and Noncrossing Partitions, Colum Watt, Thomas Brady, Christos A. Athanasiadis, and Jon McCammond

#### Submissions from 2005

An explicit mapping between the frequency domain and the time domain representations of nonlinear systems, Marissa Condon and Rossen Ivanov

Asymptotic methods in the spectral analysis of Sturm-Liouville operators, Daphne Gilbert

Zeros of the jost function for a class of exponentially decaying potentials, Daphne Gilbert and Alain Kerouanton

On torsion-free Crawley groups, Brendan Goldsmith, A. L. S. Corner, and R. Gobel

Torsion-free weakly transitive Abelian groups, Brendan Goldsmith and Lutz Strungmann

Minimal modules over valuation domains, Brendan Goldsmith and P. Zanardo

The Simultaneous Onset and Interaction of Taylor and Dean Instabilities in a Couette Geometry, C. P. Hills and A. P. Bassom

Conformal Properties and Baecklund Transform for the Associated Camassa-Holm Equation, Rossen Ivanov

On the Integrability of a Class of Nonlinear Dispersive Wave Equations, Rossen Ivanov

Haunted Kaluza Universe with Four-Dimensional Lorentzian Flat, Kerr, and Taub–NUT Slices, Rossen Ivanov and Emil Prodanov

Manev Potential and General Relativity, Rossen Ivanov and Emil Prodanov

On the Field Equations of Kaluza’s Theory, Rossen Ivanov and Emil Prodanov

Pseudo-Newtonian Potential for Charged Particle in Kerr–Newman Geometry, Rossen Ivanov and Emil Prodanov

#### Submissions from 2004

On the empirical balanced truncation for nonlinear systems, Marissa Condon and Rossen Ivanov

Bounds for the points of spectral concentration of one-dimensional schrodinger operators, Daphne Gilbert, B.J. Harris, and S.M. Riehl

The spectral function for Sturm-Liouville problems where the potential is of Wigner-von Neumann type or slowly decaying, Daphne Gilbert, B.J. Harris, and S.M. Riehl

Stokes' phenomenon and the absolutely continuous spectrum of one-dimensional Schrodinger operators, Daphne Gilbert and A.D. Wood

Quasi-minimal Abelian groups, Brendan Goldsmith, S. O. hOgain, and S. Wallutis

On the cotorsion images of the Baer-Specker Group, Brendan Goldsmith; T. Kelly; and S, Wallutis

On the dressing method for the generalised Zakharov-Shabat system, Rossen Ivanov

Riemann Tensor of the Ambient Universe, the Dilaton, and Newton’s Constant, Rossen Ivanov and Emil Prodanov

#### Submissions from 2002

On torsion and mixed minimal Abelian groups, Brendan Goldsmith and S. O. hOgain

On unit sum numbers of rational groups, Brendan Goldsmith, Christopher Meehan, and S. Wallutis

Flow Patterns in a Two-Roll Mill, Christopher Hills

Rational Generalized Moonshine from Abelian Orbifoldings of the Moonshine Module, Rossen Ivanov and Michael Tuite

Some Irrational Generalised Moonshine from Orbifolds, Rossen Ivanov and Michael Tuite

Bouncing Branes, Emil Prodanov

A Partial Order on the Orthogonal Group, Colum Watt and Thomas Brady

K(π, 1) for Artin Groups of Finite Type, Colum Watt and Thomas Brady

#### Submissions from 2001

On the recovery of a differential equation from its spectral functions, Daphne Gilbert and B.J. Harris

Eddies Induced in Cylindrical Containers by a Rotating End Wall, Christopher Hills

Eddy Structures Induced Within a Wedge by a Honing Circular Arc, C. P. Hills

Standard Cosmology on a Self-Tuning Domain Wall, Conall Kennedy and Emil Prodanov