Extreme dynamics of wave groups on jet currents (2023)
Journal Article
Slunyaev, A. V., & Shrira, V. I. (2023). Extreme dynamics of wave groups on jet currents. Physics of Fluids, 35(12), Article 126606. https://doi.org/10.1063/5.0180658

Rogue waves are known to be much more common on jet currents. A possible explanation was put forward in Shrira and Slunyaev [“Nonlinear dynamics of trapped waves on jet currents and rogue waves,” Phys. Rev. E 89, 041002(R) (2014)] for the waves trapp... Read More about Extreme dynamics of wave groups on jet currents.

The Role of Thermoviscous and Thermocapillary Effects in the Cooling and Gravity-Driven Draining of Molten Free Liquid Films (2023)
Journal Article
Alahmadi, H., & Naire, S. (2023). The Role of Thermoviscous and Thermocapillary Effects in the Cooling and Gravity-Driven Draining of Molten Free Liquid Films. Fluids, 8(5), Article 153. https://doi.org/10.3390/fluids8050153

We theoretically considered two-dimensional flow in a vertically aligned thick molten liquid film to investigate the competition between cooling and gravity-driven draining, which is relevant in the formation of metallic foams. Molten liquid in films... Read More about The Role of Thermoviscous and Thermocapillary Effects in the Cooling and Gravity-Driven Draining of Molten Free Liquid Films.

A one-dimensional model for axisymmetric deformations of an inflated hyperelastic tube of finite wall thickness (2023)
Journal Article
Fu. (2023). A one-dimensional model for axisymmetric deformations of an inflated hyperelastic tube of finite wall thickness. Journal of the Mechanics and Physics of Solids, 175, Article 105276. https://doi.org/10.1016/j.jmps.2023.105276

We derive a one-dimensional (1d) model for the analysis of bulging or necking in an inflated hy?perelastic tube of finite wall thickness from the three-dimensional (3d) finite elasticity theory by
applying the dimension reduction methodology propose... Read More about A one-dimensional model for axisymmetric deformations of an inflated hyperelastic tube of finite wall thickness.

Is Mind-Body Physicalism Really Compatible with Modern Physics? (2023)
Book Chapter
Austin, J. (2023). Is Mind-Body Physicalism Really Compatible with Modern Physics?. In Hidden Aspects of Time. Cambridge Scholars Publishing

If we take seriously literal interpretations of quantum theory and general relativity then the question posed in the title is no. This article highlights where incompatibilities arise by considering our experience in the context of modern physics. Im... Read More about Is Mind-Body Physicalism Really Compatible with Modern Physics?.

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?.

Skew left braces and isomorphism problems for Hopf-Galois structures on Galois extensions (2022)
Journal Article
Koch, A., & Truman, P. J. (2022). Skew left braces and isomorphism problems for Hopf-Galois structures on Galois extensions. Journal of Algebra and Its Applications, 22(05), Article ARTN 2350118. https://doi.org/10.1142/S0219498823501189

Given a finite group G, we study certain regular subgroups of the group of permutations of G, which occur in the classification theories of two types of algebraic objects: skew left braces with multiplicative group isomorphic to G and Hopf-Galois str... Read More about Skew left braces and isomorphism problems for Hopf-Galois structures on Galois extensions.

Homogenized equation of second-order accuracy for conductivity of laminates (2022)
Journal Article
Kaplunov, J., Prikazchikova, L., & Panasenko, G. (2022). Homogenized equation of second-order accuracy for conductivity of laminates. Applicable Analysis, 101(11), 1 - 9. https://doi.org/10.1080/00036811.2022.2027387

The high order homogenization techniques potentially generate the so-called infinite order homogenized equations. Since long ago, the coefficients at higher order derivatives in these equations have been calculated within various refined theories for... Read More about Homogenized equation of second-order accuracy for conductivity of laminates.

A Potential Barrier Halting Spherically Symmetric Relativistic Gravitational Collapse (2021)
Book Chapter
Austin, J. C. (2021). A Potential Barrier Halting Spherically Symmetric Relativistic Gravitational Collapse. In Research Trends and Challenges in Physical Science (101-113). BP International. https://doi.org/10.9734/bpi/rtcps/v1/4203f

Discussion: Scholarly discussion on any scientific article or Book or Book chapter is very important for the advancement of science. We strongly suggest all readers and authors to participate in such activities. Comment posting facility is available... Read More about A Potential Barrier Halting Spherically Symmetric Relativistic Gravitational Collapse.

Analytical treatment of the transient motion of inertial beams attached to coupling inertial resonators (2021)
Journal Article
Nieves, M., & Carta, G. (2021). Analytical treatment of the transient motion of inertial beams attached to coupling inertial resonators. Journal of Engineering Mathematics, 127, Article 20. https://doi.org/10.1007/s10665-021-10110-w

This paper presents, for the first time, an analytical formulation to determine the transient response of an elastic beam possessing distributed inertia and connected to a coupling inertial resonator, represented by a gyroscopic spinner. The latter c... Read More about Analytical treatment of the transient motion of inertial beams attached to coupling inertial resonators.

Necking, Beading, and Bulging in Soft Elastic Cylinders (2021)
Journal Article
Fu. (2021). Necking, Beading, and Bulging in Soft Elastic Cylinders. Journal of the Mechanics and Physics of Solids, https://doi.org/10.1016/j.jmps.2020.104250

Due to surface tension, a beading instability takes place in a long enough fluid column that results in the breakup of the column and the formation of smaller packets with the same overall volume but a smaller surface area. Similarly, a soft elastic... Read More about Necking, Beading, and Bulging in Soft Elastic Cylinders.

Directional Control of Rayleigh Wave Propagation in an Elastic Lattice by Gyroscopic Effects (2021)
Journal Article
Nieves, M., Carta, G., Pagneux, V., & Brun, M. (2021). Directional Control of Rayleigh Wave Propagation in an Elastic Lattice by Gyroscopic Effects. Frontiers in Materials, https://doi.org/10.3389/fmats.2020.602960

<jats:p>We discuss the propagation of Rayleigh waves at the boundary of a semi-infinite elastic lattice connected to a system of gyroscopic spinners. We present the derivation of the analytical solution of the equations governing the system when the... Read More about Directional Control of Rayleigh Wave Propagation in an Elastic Lattice by Gyroscopic Effects.

Rayleigh waves in micro-structured elastic systems: Non-reciprocity and energy symmetry breaking (2020)
Journal Article
Nieves, M., Carta, G., Pagneux, V., & Brun, M. (2020). Rayleigh waves in micro-structured elastic systems: Non-reciprocity and energy symmetry breaking. International Journal of Engineering Science, https://doi.org/10.1016/j.ijengsci.2020.103365

Rayleigh waves are analysed in elastic lattices incorporating inertial devices that couple in-plane displacements. The vector problems of elasticity for a triangular lattice and its long-wavelength/low-frequency continuum approximation are considered... Read More about Rayleigh waves in micro-structured elastic systems: Non-reciprocity and energy symmetry breaking.

Wrinkling of a compressed hyperelastic half-space with localized surface imperfections (2020)
Journal Article
Fu. (2020). Wrinkling of a compressed hyperelastic half-space with localized surface imperfections. International Journal of Non-Linear Mechanics, https://doi.org/10.1016/j.ijnonlinmec.2020.103576

We consider a variant of the classical Biot problem concerning the wrinkling of a compressed hyperelastic half-space. The traction-free surface is no longer flat but has a localized ridge or trench that is invariant in the x1-direction along which th... Read More about Wrinkling of a compressed hyperelastic half-space with localized surface imperfections.

Black hole inconsistencies? (2020)
Preprint / Working Paper
Austin, J. Black hole inconsistencies?

For large enough astrophysical objects, internal pressures are insufficient to prevent gravitational collapse to sizes smaller than a critical radius where the magnitude of escape velocity is equal to the speed of light. In coordinates natural for di... Read More about Black hole inconsistencies?.

Brouwer’s Weak Counterexamples and the Creative Subject: A Critical Survey (2020)
Journal Article
Fletcher. (2020). Brouwer’s Weak Counterexamples and the Creative Subject: A Critical Survey. Journal of Philosophical Logic, 49, 1111-1157. https://doi.org/10.1007/s10992-020-09551-y

I survey Brouwer’s weak counterexamples to classical theorems, with a view to discovering (i) what useful mathematical work is done by weak counterexamples; (ii) whether they are rigorous mathematical proofs or just plausibility arguments; (iii) the... Read More about Brouwer’s Weak Counterexamples and the Creative Subject: A Critical Survey.

Boundary layer collapses described by the two-dimensional intermediate long-wave equation (2020)
Journal Article
Oloo, J., & Shrira, V. (2020). Boundary layer collapses described by the two-dimensional intermediate long-wave equation. Theoretical and Mathematical Physics, 203, 512 - 523. https://doi.org/10.1134/S0040577920040078

We study the nonlinear dynamics of localized perturbations of a confined generic boundary-layer shear flow in the framework of the essentially two-dimensional generalization of the intermediate long-wave (2d-ILW) equation. The 2d-ILW equation was ori... Read More about Boundary layer collapses described by the two-dimensional intermediate long-wave equation.

A second-order asymptotic model for Rayleigh waves on a linearly elastic half plane (2020)
Journal Article
Wootton, P. T., Prikazchikov, D., & Kaplunov, J. (2020). A second-order asymptotic model for Rayleigh waves on a linearly elastic half plane. IMA Journal of Applied Mathematics, 85(1), 113 - 131. https://doi.org/10.1093/imamat/hxz037

We derive a second-order correction to an existing leading-order model for surface waves in linear elasticity. The same hyperbolic–elliptic equation form is obtained with a correction term added to the surface boundary condition. The validity of the... Read More about A second-order asymptotic model for Rayleigh waves on a linearly elastic half plane.

Reduced model for the surface dynamics of a generally anisotropic elastic half-space (2020)
Journal Article
Prikazchikov, Kaplunov, & Fu. (2020). Reduced model for the surface dynamics of a generally anisotropic elastic half-space. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 20190590 - 20190590. https://doi.org/10.1098/rspa.2019.0590

Near-surface resonance phenomena often arise in semi-infinite solids. For instance, when a moving load with a speed v close to the surface wave speed vR is applied to the surface of an elastic half-space, it will give rise to a large-amplitude distur... Read More about Reduced model for the surface dynamics of a generally anisotropic elastic half-space.

Weakly nonlinear analysis of localized bulging of an inflated hyperelastic tube of arbitrary wall thickness (2020)
Journal Article
Fu. (2020). Weakly nonlinear analysis of localized bulging of an inflated hyperelastic tube of arbitrary wall thickness. Journal of the Mechanics and Physics of Solids, 103804 - 103804. https://doi.org/10.1016/j.jmps.2019.103804

A weakly nonlinear analysis is conducted for localized bulging of an inflated hyperelastic cylindrical tube of arbitrary wall thickness. Analytical expressions are obtained for the coefficients in the amplitude equation despite the fact that the prim... Read More about Weakly nonlinear analysis of localized bulging of an inflated hyperelastic tube of arbitrary wall thickness.

Upper-ocean Ekman current dynamics: a new perspective (2020)
Journal Article
Shrira, V., & Almelah, R. B. (2020). Upper-ocean Ekman current dynamics: a new perspective. Journal of Fluid Mechanics, 887, Article A24. https://doi.org/10.1017/jfm.2019.1059

The work examines upper-ocean response to time-varying winds within the Ekman paradigm. Here, in contrast to the earlier works we assume the eddy viscosity to be both time and depth dependent. For self-similar depth and time dependence of eddy viscos... Read More about Upper-ocean Ekman current dynamics: a new perspective.