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math.DS2020★ 4 cited
Minimum wave speeds in monostable reaction-diffusion equations: sharp bounds by polynomial optimization
Jason J. Bramburger, David Goluskin
Many monostable reaction-diffusion equations admit one-dimensional travelling waves if and only if the wave speed is sufficiently high. The values of these minimum wave speeds are…
math.DS2018
Bounding extrema over global attractors using polynomial optimisation
David Goluskin
We describe a framework for bounding extreme values of quantities on global attractors of differential dynamical systems. A global attractor is the minimal set that attracts all bo…