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Coloured Noise from Stochastic Inflows in Reaction-Diffusion Systems
Michael F Adamer, Heather A Harrington, Eamonn A Gaffney +1
In this paper we present a framework for investigating coloured noise in reaction-diffusion systems. We start by considering a deterministic reaction-diffusion equation and show ho…
Likely equilibria of stochastic hyperelastic spherical shells and tubes
L. Angela Mihai, Danielle Fitt, Thomas E. Woolley +1
In large deformations, internally pressurised elastic spherical shells and tubes may undergo a limit-point, or inflation, instability manifested by a rapid transition in which thei…
Solvability of a Keller-Segel system with signal-dependent sensitivity and essentially sublinear production
Giuseppe Viglialoro, Thomas E. Woolley
In this paper we consider the zero-flux chemotaxis-system \begin{equation*} \begin{cases} u_{t}=Δu-\nabla \cdot (u χ(v)\nabla v) & \textrm{in}\quad Ω\times (0,\infty), \\ 0=Δv-v+g(…
Likely equilibria of the stochastic Rivlin cube
L. Angela Mihai, Thomas E. Woolley, Alain Goriely
The problem of the Rivlin cube is to determine the stability of all homogeneous equilibria of an isotropic incompressible hyperelastic body under equitriaxial dead loads. Here, we…