3 papers
nlin.PS2025
Quasicrystals in pattern formation, Part I: Local existence and basic properties
Ian Melbourne, Jens Rademacher, Bob Rink +1
In this paper, we propose a general mechanism for the existence of quasicrystals in spatially extended systems (partial differential equations with Euclidean symmetry). We argue th…
math.DS2025
Quasicrystals in pattern formation. Part II: Spatially almost-periodic profiles and global existence
Ian Melbourne, Jens Rademacher, Bob Rink +1
This paper continues our study of quasicrystals initiated in Part I. We propose a general mechanism for constructing quasicrystals, existing globally in time, in spatially-extended…
math.AP2024
Well-posedness and long-term behaviour for a troposphere wave propagation model
Paul Holst, Jens Rademacher
In this paper, we investigate a model recently derived by A. Constantin and R.S. Johnson for nonlinear wave propagation in the troposphere, particularly the 'morning glory' cloud p…