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Results: 62
Scaling laws for localised states in a nonlocal amplitude equation
It is well known that, although a uniform magnetic field inhibits the onset of small amplitude thermal convection in a layer of fluid heated from below, isolated convection cells may persist if the fluid motion within them is...
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Scaling laws for localised states in a nonlocal amplitude equation
It is well known that, although a uniform magnetic field inhibits the onset of small amplitude thermal convection in a layer of fluid heated from below, isolated convection cells may persist if the fluid motion within them is...
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A free boundary problem arising from branching Brownian motion with selection
We study a free boundary problem for a parabolic partial differential equation in which the solution is coupled to the moving boundary through an integral constraint. The problem arises as the hydrodynamic limit of an...
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A free boundary problem arising from branching Brownian motion with selection
We study a free boundary problem for a parabolic partial differential equation in which the solution is coupled to the moving boundary through an integral constraint. The problem arises as the hydrodynamic limit of an...
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The spreading speed of solutions of the non-local Fisher-KPP equation
Sarah Penington
Dec 15, 2018

We consider the Fisher–KPP equation with a non-local interaction term. In [16], Hamel and Ryzhik showed that in solutions of this equation, the front location at a large time t is 2t+o(t). We study the asymptotics of the...

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The spreading speed of solutions of the non-local Fisher-KPP equation
Sarah Penington
Dec 15, 2018

We consider the Fisher–KPP equation with a non-local interaction term. In [16], Hamel and Ryzhik showed that in solutions of this equation, the front location at a large time t is 2t+o(t). We study the asymptotics of the...

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A branching process with deletions and mergers that matches the threshold for hypercube percolation
We define a graph process G(p,q) based on a discrete branching process with deletions and mergers, which is inspired by the 4-cycle structure of both the hypercube Qd and the lattice Zd for large d. Individuals have Poisson...
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Dynamical phase transitions in supercooled liquids
C.J. Fullerton, R.L. Jack
Jun 14, 2013
We study dynamical phase transitions in a model supercooled liquid. These transitions occur in ensembles of trajectories that are biased towards low (or high) dynamical activity. We compare two different measures of activity...
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A branching process with deletions and mergers that matches the threshold for hypercube percolation
We define a graph process G(p,q) based on a discrete branching process with deletions and mergers, which is inspired by the 4-cycle structure of both the hypercube Qd and the lattice Zd for large d. Individuals have Poisson...
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Investigating amorphous order in stable glasses by random pinning
C.J. Fullerton, R.L. Jack
Jun 27, 2014
We investigate stable glassy states that are found when glass-forming liquids are biased to lower than average dynamical activity. By pinning the positions of randomly chosen particles, we show that many-body correlations in...
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Brownian bees in the infinite swarm limit
The Brownian bees model is a branching particle system with spatial selection. It is a system of N particles which move as independent Brownian motions in Rd and independently branch at rate 1, and, crucially, at each branching...
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Brownian bees in the infinite swarm limit
The Brownian bees model is a branching particle system with spatial selection. It is a system of N particles which move as independent Brownian motions in Rd and independently branch at rate 1, and, crucially, at each branching...
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Dynamical phase transitions in supercooled liquids
C.J. Fullerton, R.L. Jack
Jun 14, 2013
We study dynamical phase transitions in a model supercooled liquid. These transitions occur in ensembles of trajectories that are biased towards low (or high) dynamical activity. We compare two different measures of activity...
Published by:
Investigating amorphous order in stable glasses by random pinning
C.J. Fullerton, R.L. Jack
Jun 27, 2014
We investigate stable glassy states that are found when glass-forming liquids are biased to lower than average dynamical activity. By pinning the positions of randomly chosen particles, we show that many-body correlations in...
Published by:
Sensitivity of bistable laminates to uncertainties in material properties, geometry and environmental conditions
Under certain conditions asymmetric composite laminates can have a bistable response to mechanical loading. A transition between the two stable states provides opportunities to produce large deflections or shape changes from...
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Sensitivity of bistable laminates to uncertainties in material properties, geometry and environmental conditions
Under certain conditions asymmetric composite laminates can have a bistable response to mechanical loading. A transition between the two stable states provides opportunities to produce large deflections or shape changes from...
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Al(iii)-homopiperazine complexes and their exploitation for the production of polyesters
In this paper we report the synthesis and characterisation of a series of Al(iii)-homopiperazine complexes. The ortho substituent has been varied from H, Me, tBu to investigate the effect this has on the solid-state structures...
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A preliminary approach to simulating cyclic variability in a port fuel injection spark ignition engine
Differences in the combustion process from one cycle to the next, termed cyclic variations, are an important feature of spark ignition engines. These variations cause fluctuations in the work output of the engine and can...
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A preliminary approach to simulating cyclic variability in a port fuel injection spark ignition engine
Differences in the combustion process from one cycle to the next, termed cyclic variations, are an important feature of spark ignition engines. These variations cause fluctuations in the work output of the engine and can...
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Al(iii)-homopiperazine complexes and their exploitation for the production of polyesters
In this paper we report the synthesis and characterisation of a series of Al(iii)-homopiperazine complexes. The ortho substituent has been varied from H, Me, tBu to investigate the effect this has on the solid-state structures...
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Signaling to extracellular signal-regulated kinase from ErbB1 kinase and protein kinase c
Background: The mechanisms underlying acute ERK signaling are poorly understood. Results: Feedback influences basal and acutely stimulated ERK responses but does not render signaling kinetics robust to ERK concentration....
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