All Outputs (88)

New trends in couple-stress hyperelasticity (2023)
Journal Article

This communication reconsiders and reorganises parts of existing knowledge that refers to Cosserat-type hyperelasticity formulations in a manner that respects and pays tribute to the early development pattern of the couple-stress theory and, also, as... Read More about New trends in couple-stress hyperelasticity.

Solutions with snaking singularities for the fast diffusion equation (2021)
Journal Article

We construct solutions of the fast diffusion equation, which exist for all t ∈ R and are singular on the set γ(t) := is(s);-∞ < s ≤ ct, c > 0, where ∈ C3(R;Rn), n ≥ 2. We also give a precise description of the behavior of the solutions near γ (t). Read More about Solutions with snaking singularities for the fast diffusion equation.

Instabilities at a sheared interface over a liquid laden with soluble surfactant (2021)
Journal Article

The linear stability of a semi-infinite fluid undergoing a shearing motion over a fluid layer that is laden with soluble surfactant and that is bounded below by a plane wall is investigated under conditions of Stokes flow. While it is known that this... Read More about Instabilities at a sheared interface over a liquid laden with soluble surfactant.

Immediate and Delayed Response of Simulated Human Atrial Myocytes to Clinically-Relevant Hypokalemia (2021)
Journal Article

Although plasma electrolyte levels are quickly and precisely regulated in the mammalian cardiovascular system, even small transient changes in K+, Na+, Ca2+, and/or Mg2+ can significantly alter physiological responses in the heart, blood vessels, and... Read More about Immediate and Delayed Response of Simulated Human Atrial Myocytes to Clinically-Relevant Hypokalemia.

Random walk algorithm for the Dirichlet problem for parabolic integro-differential equation (2021)
Journal Article

We consider stochastic differential equations driven by a general Lévy processes (SDEs) with infinite activity and the related, via the Feynman–Kac formula, Dirichlet problem for parabolic integro-differential equation (PIDE). We approximate the solu... Read More about Random walk algorithm for the Dirichlet problem for parabolic integro-differential equation.

Categorification of algebraic quantum field theories (2021)
Journal Article

This paper develops a concept of 2-categorical algebraic quantum field theories (2AQFTs) that assign locally presentable linear categories to spacetimes. It is proven that ordinary AQFTs embed as a coreflective full 2-subcategory into the 2-category... Read More about Categorification of algebraic quantum field theories.

Mixing indistinguishable systems leads to a quantum Gibbs paradox (2021)
Journal Article

The classical Gibbs paradox concerns the entropy change upon mixing two gases. Whether an observer assigns an entropy increase to the process depends on their ability to distinguish the gases. A resolution is that an "ignorant" observer, who cannot d... Read More about Mixing indistinguishable systems leads to a quantum Gibbs paradox.

A Model to Investigate the Impact of Farm Practice on Antimicrobial Resistance in UK Dairy Farms (2021)
Journal Article

© 2021, The Author(s). The ecological and human health impact of antibiotic use and the related antimicrobial resistance (AMR) in animal husbandry is poorly understood. In many countries, there has been considerable pressure to reduce overall antibio... Read More about A Model to Investigate the Impact of Farm Practice on Antimicrobial Resistance in UK Dairy Farms.

Too little, too late? Brexit Day, transitional periods and the implications of MIB v Lewis (2020)
Journal Article

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

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

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

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

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

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

© 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

© 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

© 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

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

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.

On the mechanistic understanding of predator feeding behavior using the functional response concept (2020)
Journal Article