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Too little, too late? Brexit Day, transitional periods and the implications of MIB v Lewis (2020)
Journal Article
Mason, J., & Ferris, K. (2020). Too little, too late? Brexit Day, transitional periods and the implications of MIB v Lewis. European Law Review, 2020(3), 415-426

For several decades the UK has been in breach of key aspects of the Motor Vehicle Insurance Directives (MVID). This has been observed through academic commentary and confirmed in successful state liability claims. There has also been a manifestly inc... Read More about Too little, too late? Brexit Day, transitional periods and the implications of MIB v Lewis.

Spin-Induced Black Hole Spontaneous Scalarization (2020)
Journal Article
Dima, A., Barausse, E., Franchini, N., & Sotiriou, T. P. (2020). Spin-Induced Black Hole Spontaneous Scalarization. Physical Review Letters, 125(23), Article 231101. https://doi.org/10.1103/PhysRevLett.125.231101

We study scalar fields in a black hole background and show that, when the scalar is suitably coupled to curvature, rapid rotation can induce a tachyonic instability. This instability, which is the hallmark of spontaneous scalarization in the lineariz... Read More about Spin-Induced Black Hole Spontaneous Scalarization.

Entanglement between Identical Particles Is a Useful and Consistent Resource (2020)
Journal Article
Morris, B., Yadin, B., Fadel, M., Zibold, T., Treutlein, P., & Adesso, G. (2020). Entanglement between Identical Particles Is a Useful and Consistent Resource. Physical Review X, 10(4), Article 041012. https://doi.org/10.1103/physrevx.10.041012

The existence of fundamentally identical particles represents a foundational distinction between classical and quantum mechanics. Due to their exchange symmetry, identical particles can appear to be entangled - another uniquely quantum phenomenon wit... Read More about Entanglement between Identical Particles Is a Useful and Consistent Resource.

Transfer operator approach to ray-tracing in circular domains (2020)
Journal Article
Slipantschuk, J., Richter, M., Chappell, D. J., Tanner, G., Just, W., & Bandtlow, O. F. (2020). Transfer operator approach to ray-tracing in circular domains. Nonlinearity, 33(11), 5773-5790. https://doi.org/10.1088/1361-6544/ab9dca

The computation of wave-energy distributions in the mid-to-high frequency regime can be reduced to ray-tracing calculations. Solving the ray-tracing problem in terms of an operator equation for the energy density leads to an inhomogeneous equation wh... Read More about Transfer operator approach to ray-tracing in circular domains.

Kernels of L-functions and shifted convolutions (2020)
Journal Article
Diamantis, N. (2020). Kernels of L-functions and shifted convolutions. Proceedings of the American Mathematical Society, 148, 5059-5070. https://doi.org/10.1090/proc/15182

We give a characterisation of the field into which quotients of values of L-functions associated to a cusp form belong. The construction involves shifted convolution series of divisor sums and to establish it we combine parts of F. Brown's technique... Read More about Kernels of L-functions and shifted convolutions.

A Systematic Upscaling of Nonlinear Chemical Uptake Within a Biofilm (2020)
Journal Article
Dalwadi, M. P., & King, J. R. (2020). A Systematic Upscaling of Nonlinear Chemical Uptake Within a Biofilm. SIAM Journal on Applied Mathematics, 80(4), 1723-1750. https://doi.org/10.1137/19m130220x

When modelling transport of a chemical species to a colony of bacteria in a biofilm, it is computationally expensive 4 to treat each bacterium even as a point sink, let alone to capture the finite nature of each bacterium. Instead, models tend to 5 t... Read More about A Systematic Upscaling of Nonlinear Chemical Uptake Within a Biofilm.

Probability density function (PDF) models for particle transport in porous media (2020)
Journal Article
Icardi, M., & Dentz, M. (2020). Probability density function (PDF) models for particle transport in porous media. GEM - International Journal on Geomathematics, 11(1), https://doi.org/10.1007/s13137-020-00153-z

© 2020, The Author(s). Mathematical models based on probability density functions (PDF) have been extensively used in hydrology and subsurface flow problems, to describe the uncertainty in porous media properties (e.g., permeability modelled as rando... Read More about Probability density function (PDF) models for particle transport in porous media.

Numerical simulation of droplet impact on wettability-patterned surfaces (2020)
Journal Article
Russo, A., Icardi, M., Elsharkawy, M., Ceglia, D., Asinari, P., & Megaridis, C. M. (2020). Numerical simulation of droplet impact on wettability-patterned surfaces. Physical Review Fluids, 5(7), Article 074002. https://doi.org/10.1103/PhysRevFluids.5.074002

© 2020 American Physical Society. Numerical simulations have unexplored potential in the study of droplet impact on nonuniform wettability surfaces. In this paper, we compare numerical and experimental results to investigate the application potentia... Read More about Numerical simulation of droplet impact on wettability-patterned surfaces.

Residual alignment and its effect on weld strength in material-extrusion 3D-printing of polylactic acid (2020)
Journal Article
Costanzo, A., Spotorno, R., Candal, M. V., Fernández, M. M., Müller, A. J., Graham, R. S., …McIlroy, C. (2020). Residual alignment and its effect on weld strength in material-extrusion 3D-printing of polylactic acid. Additive Manufacturing, 36, Article 101415. https://doi.org/10.1016/j.addma.2020.101415

© 2020 Elsevier B.V. Gaining a molecular understanding of material extrusion (MatEx) 3D printing is crucial to predicting and controlling part properties. Here we report the direct observation of distinct birefringence localised to the weld regions b... Read More about Residual alignment and its effect on weld strength in material-extrusion 3D-printing of polylactic acid.

Population Dynamics with Threshold Effects Give Rise to a Diverse Family of Allee Effects (2020)
Journal Article
Fadai, N. T., & Simpson, M. J. (2020). Population Dynamics with Threshold Effects Give Rise to a Diverse Family of Allee Effects. Bulletin of Mathematical Biology, 82(6), https://doi.org/10.1007/s11538-020-00756-5

The Allee effect describes populations that deviate from logistic growth models and arises in applications including ecology and cell biology. A common justification for incorporating Allee effects into population models is that the population in que... Read More about Population Dynamics with Threshold Effects Give Rise to a Diverse Family of Allee Effects.

Eliminating Gibbs phenomena: A non-linear Petrov–Galerkin method for the convection–diffusion–reaction equation (2020)
Journal Article
Houston, P., Roggendorf, S., & van der Zee, K. G. (2020). Eliminating Gibbs phenomena: A non-linear Petrov–Galerkin method for the convection–diffusion–reaction equation. Computers and Mathematics with Applications, 80(5), 851-873. https://doi.org/10.1016/j.camwa.2020.03.025

In this article we consider the numerical approximation of the convection-diffusion-reaction equation. One of the main challenges of designing a numerical method for this problem is that boundary layers occurring in the convection-dominated case can... Read More about Eliminating Gibbs phenomena: A non-linear Petrov–Galerkin method for the convection–diffusion–reaction equation.

Zeros of derivatives of strictly nonreal meromorphic functions (2020)
Journal Article
Langley, J. K. (2020). Zeros of derivatives of strictly nonreal meromorphic functions. Illinois Journal of Mathematics, 64(2), 261-290. https://doi.org/10.1215/00192082-8513350

Let f be a meromorphic function in the plane and let e f(z) = f(_z) (this notation will be used throughout). Here f is called real if e f = f, and strictly non-real if e f is not a constant multiple of f. There has been substantial research concernin... Read More about Zeros of derivatives of strictly nonreal meromorphic functions.

Slow travelling wave solutions of the nonlocal Fisher-KPP equation (2020)
Journal Article
Billingham, J. (2020). Slow travelling wave solutions of the nonlocal Fisher-KPP equation. Nonlinearity, 33(5), 2106-2142. https://doi.org/10.1088/1361-6544/ab6f4f

© 2020 IOP Publishing Ltd & London Mathematical Society. We study travelling wave solutions, u = U(x - ct), of the nonlocal Fisher- KPP equation in one spatial dimension, dimension, (Display equation presented), with D = 1 and c = 1, where = = u is... Read More about Slow travelling wave solutions of the nonlocal Fisher-KPP equation.

hp-Adaptive Iterative Linearization Discontinuous-Galerkin FEM for Quasilinear Elliptic Boundary Value Problems (2020)
Conference Proceeding
HOUSTON, P., & WIHLER, T. (2020). hp-Adaptive Iterative Linearization Discontinuous-Galerkin FEM for Quasilinear Elliptic Boundary Value Problems. In S. Sherwin, D. Moxey, J. Peiro, P. Vincent, & C. Schwab (Eds.), Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2018 (407–417). https://doi.org/10.1007/978-3-030-39647-3

In this article we consider the a posteriori error analysis of hp-version discontinuous Galerkin finite element methods for the numerical solution of a second-order quasilinear elliptic boundary value problem of strongly monotone type. In particular,... Read More about hp-Adaptive Iterative Linearization Discontinuous-Galerkin FEM for Quasilinear Elliptic Boundary Value Problems.

An asymptotic analysis of the malonyl-CoA route to 3-hydroxypropionic acid in genetically engineered microbes (2020)
Journal Article
Dalwadi, M. P., & King, J. R. (2020). An asymptotic analysis of the malonyl-CoA route to 3-hydroxypropionic acid in genetically engineered microbes. Bulletin of Mathematical Biology, 82, Article 36. https://doi.org/10.1007/s11538-020-00714-1

There has been recent interest in creating an efficient microbial production route for 3-hydroxypropionic acid, an important platform chemical. We develop and solve a mathematical model for the time-dependent metabolite concentrations in the malonyl-... Read More about An asymptotic analysis of the malonyl-CoA route to 3-hydroxypropionic acid in genetically engineered microbes.

New travelling wave solutions of the Porous–Fisher model with a moving boundary (2020)
Journal Article
Fadai, N. T., & Simpson, M. J. (2020). New travelling wave solutions of the Porous–Fisher model with a moving boundary. Journal of Physics A: Mathematical and Theoretical, 53(9), Article 095601. https://doi.org/10.1088/1751-8121/ab6d3c

We examine travelling wave solutions of the Porous-Fisher model, ϑtu(x,t) = u(x,t)[1 u(x,t)] + ϑx [u(x,t)ϑxu(x,t)], with a Stefan-like condition at the moving front, x = L(t). Travelling wave solutions of this model have several novel characteristics... Read More about New travelling wave solutions of the Porous–Fisher model with a moving boundary.

Study Habits and Attainment in Undergraduate Mathematics: A Social Network Analysis (2020)
Journal Article
Alcock, L., Hernandez-Martinez, P., Patel, A. G., & Sirl, D. (2020). Study Habits and Attainment in Undergraduate Mathematics: A Social Network Analysis. Journal for Research in Mathematics Education, 51(1), 26–49. https://doi.org/10.5951/jresematheduc.2019.0006

In this paper, we argue that although mathematics educators are concerned about social issues, minimal attention has been paid to student-student interactions outside the classroom. We discuss social network analysis (SNA) as a methodology for studyi... Read More about Study Habits and Attainment in Undergraduate Mathematics: A Social Network Analysis.