Mathematics
Welcome to the research outputs of the University of Exeter College of Engineering, Mathematics and Physical Sciences, Department of Mathematics
Recent Submissions

Geometric generalised Lagrangian mean theories
(Cambridge University Press (CUP), 2017)Many fluctuationdriven phenomena in fluids can be analysed effectively using the generalised Lagrangian mean (GLM) theory of Andrews & McIntyre (1978a). This finiteamplitude theory relies on particlefollowing averaging ... 
The magnetic Rayleigh–Taylor instability in solar prominences
(Springer, 2017)The magnetic Rayleigh–Taylor instability is a fundamental instability of many astrophysical systems and recent observations are consistent with this instability developing in solar prominences. Prominences are cool, dense ... 
Diagnosing relationships between mean state biases and El Niño shortwave feedback in CMIP5 models
(American Meteorological Society, 20171115)The rate of damping of tropical Pacific sea surface temperature anomalies (SSTAs) associated with El Niño events by surface shortwave heat fluxes has significant biases in current coupled climate models (Coupled Model ... 
Statedependence of climate sensitivity: attractor constraints and palaeoclimate regimes
(Oxford University Press (OUP), 20170215)Equilibrium climate sensitivity (ECS) is a key predictor of climate change. However, it is not very well constrained, either by climate models or by observational data. The reasons for this include strong internal variability ... 
Quiescent Prominence Dynamics Observed with the Hinode Solar Optical Telescope. II. Prominence Bubble Boundary Layer Characteristics and the Onset of a Coupled Kelvin–Helmholtz Rayleigh–Taylor Instability
(American Astronomical Society, 20171117)We analyze solar quiescent prominence bubble characteristics and instability dynamics using Hinode/Solar Optical Telescope (SOT) data. We measure bubble expansion rate, prominence downflows, and the profile of the boundary ... 
Diagnosing ENSO and global warming tropical precipitation shifts using 2 surface relative humidity and temperature
(American Meteorological Society, 20171127)Large uncertainty remains in future projections of tropical precipitation change under global warming. A simplified method for diagnosing tropical precipitation change is tested here on present day El NiñoSouthern Oscillation ... 
Regime Change Behaviour During Asian Monsoon Onset
(American Meteorological Society, 2017)As the ITCZ moves off the equator on an aquaplanet, the Hadley circulation transitions from an equinoctial regime with two near symmetric, significantly eddydriven cells, to a monsoonlike regime with a strong, thermally ... 
Eroding dipoles and vorticity growth for Euler flows in R3: The hairpin geometry as a model for finitetime blowup
(IOP Publishing, 20171106)A theory of an eroding ``hairpin'' dipole vortex structure in three dimensions is developed, extending our previous study of an axisymmetric eroding dipole without swirl. The hairpin is proposed as a model of maximal ... 
Nonlinear AbelType Integral Equation in Modeling Creep Crack Propagation
(Birkhäuser Boston, 201108)1 Introduction A nonlinear Abeltype equation is obtained in this paper to model creep crack timedependent propagation in the infinite viscoelastic plane. A finite time when the integral equation solution becomes unbounded ... 
Neural field model to reconcile structure with function in primary visual cortex
(Public Library of Science for International Society for Computational Biology (ISCB), 20171024)Voltagesensitive dye imaging experiments in primary visual cortex (V1) have shown that local, oriented visual stimuli elicit stable orientationselective activation within the stimulus retinotopic footprint. The cortical ... 
The Dolgopyat inequality in bounded variation for nonMarkov maps
(World Scientific, 20170308)Let F be a (nonMarkov) countably piecewise expanding interval map satisfying certain regularity conditions, and Ł˜Ł̃ the corresponding transfer operator. We prove the Dolgopyat inequality for the twisted operator ... 
Non trivial limit distributions for transient renewal chains
(Elsevier, 20170602)In this work we study the asymptotic of renewal sequences associated with certain transient renewal Markov chains and enquire about the existence of limit laws in this set up. 
Fast and slow domino regimes in transient network dynamics
(American Physical Society, 20171108)It is well known that the addition of noise to a multistable dynamical system can induce random transitions from one stable state to another. For low noise, the times between transitions have an exponential tail and ... 
Fast and slow domino regimes in transient network dynamics
(American Physical Society, 20171108)It is well known that the addition of noise to a multistable dynamical system can induce random transitions from one stable state to another. For low noise, the times between transitions have an exponential tail and ... 
Mapping the Energy Cascade in the North Atlantic Ocean: The Coarsegraining Approach
(American Meteorological Society, 2017)A coarsegraining framework is implemented to analyze nonlinear processes, measure energy transfer rates and map out the energy pathways from simulated global ocean data. Traditional tools to measure the energy cascade ... 
Identification of immune signatures predictive of clinical protection from malaria
(Public Library of Science for International Society for Computational Biology (ISCB), 20171024)Antibodies are thought to play an essential role in naturally acquired immunity to malaria. Prospective cohort studies have frequently shown how continuous exposure to the malaria parasite Plasmodium falciparum cause an ... 
Challenges in dengue research: A computational perspective
(Wiley, 20171105)The dengue virus is now the most widespread arbovirus affecting human populations, causing significant economic and social impact in South America and SouthEast Asia. Increasing urbanization and globalization, coupled ... 
Local bifurcations in differential equations with statedependent delay
(AIP Publishing, 2017)A common task when analysing dynamical systems is the determination of normal forms near local bifurcations of equilibria. As most of these normal forms have been classified and analysed, finding which particular class of ... 
Onset of 2D magnetic reconnection in the solar photosphere, chromosphere and corona
(EDP Sciences for European Southern Observatory (ESO), 20171020)Aims. We aim to investigate the onset of 2D timedependent magnetic reconnection that is triggered using an external (nonlocal) velocity driver located away from, and perpendicular to, an equilibrium Harris current sheet. ... 
Schmidt games and Markov partitions
(IOP Publishing / London Mathematical Society, 20090128)Let T be a C2expanding selfmap of a compact, connected, C∞, Riemannian manifold M. We correct a minor gap in the proof of a theorem from the literature: the set of points whose forward orbits are nondense has full Hausdorff ...