Hopf-Galois module structure of some non-normal extensions (2024)
Thesis
Prestidge, G. T. (2024). Hopf-Galois module structure of some non-normal extensions. (Thesis). Keele University. Retrieved from https://keele-repository.worktribe.com/output/850279

We use Hopf-Galois theory to study the structure of rings of algebraic integers in some non-normal extensions of number fields which are tamely ramified, generalising results of Del Corso and Rossi for tamely ramified Kummer extensions.

Firstly w... Read More about Hopf-Galois module structure of some non-normal extensions.

New approaches to diagnosing exact recurrent flows embedded in two-dimensional turbulence (2024)
Thesis
Redfern, E. M. (2024). New approaches to diagnosing exact recurrent flows embedded in two-dimensional turbulence. (Thesis). Keele University. Retrieved from https://keele-repository.worktribe.com/output/775657

Turbulent flow is often viewed as a trajectory wandering through a high dimensional phase-space, momentarily visiting the neighbourhood of unstable invariant solutions, e.g. unstable periodic orbits, travelling waves and equilibria. Periodic orbit th... Read More about New approaches to diagnosing exact recurrent flows embedded in two-dimensional turbulence.

A revisit to the plane problem for low-frequency acoustic scattering by an elastic cylindrical shell (2024)
Journal Article
Yücel, H., Ege, N., Erbaş, B., & Kaplunov, J. (in press). A revisit to the plane problem for low-frequency acoustic scattering by an elastic cylindrical shell. Mathematics and Mechanics of Solids, https://doi.org/10.1177/10812865241233737

The proposed revisit to a classical problem in fluid–structure interaction is due to an interest in the analysis of the narrow resonances corresponding to a low-frequency fluid-borne wave, inspired by modeling and design of metamaterials. In this cas... Read More about A revisit to the plane problem for low-frequency acoustic scattering by an elastic cylindrical shell.

Modelling and forecasting oil market volatility: A regime switching GARCH MIDAS approach (2023)
Thesis
Tirkishova, M. (2023). Modelling and forecasting oil market volatility: A regime switching GARCH MIDAS approach. (Thesis). Keele University

In this thesis, we consider a regime switching GARCH MIDAS model with Student-t innovations. By allowing the error term to be non-Gaussian, we want to see how effective it is in describing the volatility displayed in financial time series. For the lo... Read More about Modelling and forecasting oil market volatility: A regime switching GARCH MIDAS approach.

A novel (2+1)-dimensional nonlinear evolution equation for weakly stratified free-surface boundary layers (2023)
Journal Article
Oloo, J. O., & Shrira, V. I. (2023). A novel (2+1)-dimensional nonlinear evolution equation for weakly stratified free-surface boundary layers. Journal of Fluid Mechanics, 973, Article A40. https://doi.org/10.1017/jfm.2023.773

To get an insight into the dynamics of the oceanic surface boundary layer we develop an asymptotic model of the nonlinear dynamics of linearly decaying three-dimensional long-wave perturbations in weakly stratified boundary-layer flows. Although in n... Read More about A novel (2+1)-dimensional nonlinear evolution equation for weakly stratified free-surface boundary layers.

Measuring the Magnetic Polarizability Tensor of Non-Symmetrical Metallic Objects (2023)
Journal Article
Özdeğer, T., Ozdeger, T., Davidson, J. L., Davidson, J., Ledger, P. D., Conniffe, D., …Peyton, A. (2023). Measuring the Magnetic Polarizability Tensor of Non-Symmetrical Metallic Objects. IEEE Sensors Journal, 23(17), 20027-20036. https://doi.org/10.1109/jsen.2023.3296439

The Magnetic Polarizability Tensor (MPT) is a representative electromagnetic property of a metallic object, which depends on the size, material, shape, and excitation frequency of the object. The MPT can be used to describe the response of metal dete... Read More about Measuring the Magnetic Polarizability Tensor of Non-Symmetrical Metallic Objects.

A study of mechanical and capillary bifurcation phenomena in soft elastic materials (2023)
Thesis
Emery, D. R. (2023). A study of mechanical and capillary bifurcation phenomena in soft elastic materials. (Thesis). Keele University

Stress-induced pattern formations in soft elastic materials are bifurcation phenomena which can be localized or periodic. Certain localized pattern formations such as necking or bulging are associated with zero wavenumber, whereas periodic pattern fo... Read More about A study of mechanical and capillary bifurcation phenomena in soft elastic materials.

THE ROLE OF THERMOVISCOUS AND THERMOCAPILLARY EFFECTS IN THE COOLING OF A MOLTEN FREE LIQUID FILM DRAINING DUE TO GRAVITY (2023)
Journal Article
Naire. (2023). THE ROLE OF THERMOVISCOUS AND THERMOCAPILLARY EFFECTS IN THE COOLING OF A MOLTEN FREE LIQUID FILM DRAINING DUE TO GRAVITY. Fluids, https://doi.org/10.3390/fluids8050153

We consider theoretically the two-dimensional flow in a vertically-aligned thick molten liquid film to investigate the competition between cooling and draining due to gravity, relevant in the formation of metallic foams. The molten liquid in the film... Read More about THE ROLE OF THERMOVISCOUS AND THERMOCAPILLARY EFFECTS IN THE COOLING OF A MOLTEN FREE LIQUID FILM DRAINING DUE TO GRAVITY.

Nontrivial zeros of the Riemann zeta function (2023)
Working Paper
Austin, J. Nontrivial zeros of the Riemann zeta function

The Riemann hypothesis, stating that all nontrivial zeros of the Riemann zeta function have real parts equal to 1/2, is one of the most important conjectures in mathematics. In this paper we prove the Riemann hypothesis by solving an integral form of... Read More about Nontrivial zeros of the Riemann zeta function.

Asymptotic corrections to the low-frequency theory for a cylindrical elastic shell (2023)
Journal Article
Kaplunov. (2023). Asymptotic corrections to the low-frequency theory for a cylindrical elastic shell. Zeitschrift für Angewandte Mathematik und Physik, https://doi.org/10.1007/s00033-022-01933-3

<jats:title>Abstract</jats:title><jats:p>The general scaling underlying the asymptotic derivation of 2D theory for thin shells from the original equations of motion in 3D elasticity fails for cylindrical shells due to the cancellation of the leading-... Read More about Asymptotic corrections to the low-frequency theory for a cylindrical elastic shell.

Synthetic biology open language (SBOL) version 3.1.0 (2023)
Journal Article
Buecherl, L., Mitchell, T., Scott-Brown, J., Vaidyanathan, P., Vidal, G., Baig, H., …Beal, J. (2023). Synthetic biology open language (SBOL) version 3.1.0. Journal of Integrative Bioinformatics, 20(1), 20220058. https://doi.org/10.1515/jib-2022-0058

Synthetic biology builds upon genetics, molecular biology, and metabolic engineering by applying engineering principles to the design of biological systems. When designing a synthetic system, synthetic biologists need to exchange information about mu... Read More about Synthetic biology open language (SBOL) version 3.1.0.

The Gaia-ESO Survey: Preparing the ground for 4MOST and WEAVE galactic surveys (2023)
Journal Article
Nepal, S., Guiglion, G., de Jong, R., Valentini, M., Chiappini, C., Steinmetz, M., …Zaggia, S. (2023). The Gaia-ESO Survey: Preparing the ground for 4MOST and WEAVE galactic surveys. Astronomy & Astrophysics, 671, Article A61. https://doi.org/10.1051/0004-6361/202244765

Context. Originating from several sources (Big Bang, stars, cosmic rays) and being strongly depleted during stellar lifetime, the lithium element is of great interest as its chemical evolution in the Milky Way is not yet well understood. To help cons... Read More about The Gaia-ESO Survey: Preparing the ground for 4MOST and WEAVE galactic surveys.

Effect of Scanning Acceleration on the Leakage Signal in Magnetic Flux Leakage Type of Non-destructive Testing (2023)
Journal Article
Zhang, L., Cameron, I., Ledger, P., Belblidia, F., Pearson, N., Charlton, P., & Sienz, J. (2023). Effect of Scanning Acceleration on the Leakage Signal in Magnetic Flux Leakage Type of Non-destructive Testing. Journal of Nondestructive Evaluation, https://doi.org/10.1007/s10921-023-00925-1

This work investigates the influence of acceleration on the leakage signal in magnetic flux leakage type of non-destructive testing. The research is addressed through both designed experiments and simulations. The results showed that the leakage sign... Read More about Effect of Scanning Acceleration on the Leakage Signal in Magnetic Flux Leakage Type of Non-destructive Testing.

Algorithmic coincidence classification of mesh patterns (2023)
Journal Article
Bean, C., Gudmundsson, B., Magnusson, T. K., & Ulfarsson, H. (2023). Algorithmic coincidence classification of mesh patterns. Information and Computation, https://doi.org/10.1016/j.ic.2023.105014

Permutations have connections to other mathematical objects such as Schubert varieties, sorting networks, and genome rearrangements. Often the connection is described in terms of patterns that are absent from the permutations. There can be ambiguity... Read More about Algorithmic coincidence classification of mesh patterns.

Do Causality Violations Initiating a Compactly Generated Cauchy Horizon Require Exotic Matter? (2023)
Book Chapter
Austin, J. (2023). Do Causality Violations Initiating a Compactly Generated Cauchy Horizon Require Exotic Matter?. In Hidden Aspects of Time. Cambridge Scholars Publishing

This short paper summarises the proof that a causality violation formed from a bounded region requires matter that violates the null energy condition. Therefore the answer to the question in the title is yes. This is one of the results on which Steph... Read More about Do Causality Violations Initiating a Compactly Generated Cauchy Horizon Require Exotic Matter?.

Transit timing variation analysis of the low-mass brown dwarf KELT-1 b (2023)
Journal Article
Baştürk, Ö., Taylor, J., Yalçınkaya, S., Mancini, L., Esmer, E., Tekin, M., …Yeşilyaprak, C. (2023). Transit timing variation analysis of the low-mass brown dwarf KELT-1 b. Monthly Notices of the Royal Astronomical Society, 521(1), 1200-1209. https://doi.org/10.1093/mnras/stad248

We investigate whether there is a variation in the orbital period of the short-period brown dwarf-mass KELT-1 b, which is one of the best candidates to observe orbital decay. We obtain 19 high-precision transit light curves of the target using six di... Read More about Transit timing variation analysis of the low-mass brown dwarf KELT-1 b.

Asymptotic Formulation for the Rayleigh Wave on a Nonlocally Elastic Half-Space (2023)
Journal Article
Prikazchikov, D. A. (2023). Asymptotic Formulation for the Rayleigh Wave on a Nonlocally Elastic Half-Space. Vibration, 6(1), 57-64. https://doi.org/10.3390/vibration6010005

This paper deals with the Rayleigh wave, propagating on a nonlocally elastic, linearly isotropic half-space, excited by a prescribed surface loading. The consideration develops the methodology of hyperbolic–elliptic models for Rayleigh and Rayleigh-t... Read More about Asymptotic Formulation for the Rayleigh Wave on a Nonlocally Elastic Half-Space.

Cellulose-Aerogele als multifunktionale und nachhaltige Alternativen für Flugzeugkabinenelemente (2023)
Journal Article
Aney, S., Schestakow, M., Prikazchikova, L., Milow, B., Prikazchikov, D., Kaplunov, J., …Rege, A. (2023). Cellulose-Aerogele als multifunktionale und nachhaltige Alternativen für Flugzeugkabinenelemente. https://doi.org/10.25967/570245

German; Aufgrund steigender Anforderungen steht das Design von Flugzeugkabinen vor revolutionären Herausforderungen. Die Integration innovativer Konzepte und nachhaltiger Materialien bietet einen wichtigen Lösungsansatz. Entsprechend müssen die Entwi... Read More about Cellulose-Aerogele als multifunktionale und nachhaltige Alternativen für Flugzeugkabinenelemente.

Minimal Object Characterisations using Harmonic Generalised Polarizability Tensors and Symmetry Groups (2022)
Journal Article
Ledger, P., & Lionheart, B. (2022). Minimal Object Characterisations using Harmonic Generalised Polarizability Tensors and Symmetry Groups. SIAM Journal on Applied Mathematics, 2057-2079. https://doi.org/10.1137/22M1471547

We introduce a new type of object characterisation, which is capable of accurately describing small iso?lated inclusions for potential field inverse problems such as in electrostatics, magnetostatics and related
low frequency Maxwell problems. Relev... Read More about Minimal Object Characterisations using Harmonic Generalised Polarizability Tensors and Symmetry Groups.

Dynamic fracture regimes for initially prestressed elastic chains. (2022)
Journal Article
Nieves. (2022). Dynamic fracture regimes for initially prestressed elastic chains. Philosophical Transactions A: Mathematical, Physical and Engineering Sciences, 20210395 - ?. https://doi.org/10.1098/rsta.2021.0395

We study the propagation of a bridge crack in an anisotropic multi-scale system involving two discrete elastic chains that are interconnected by links and possess periodically distributed inertia. The bridge crack is represented by the destruction of... Read More about Dynamic fracture regimes for initially prestressed elastic chains..