Reaction-diffusion equations underpin the modelling of a vast array of natural and engineered phenomena, ranging from the spread of invasive species and epidemic outbreaks to phase transitions in ...

In the past few decades, the use of phase field-modeling equations for mathematical modeling has progressed. Phase separation has been studied extensively in thermodynamics and materials engineering, ...

Observing nature shows that many temporal and spatial structures are not formed by the outside, but rather by the respective system itself. To study these self-organizing processes is the subject of ...