| Abstract: |
| We investigate an SPDE for epitaxial thin-film growth.
Remarkably, it has been shown that even arbitrarily small space-time white noise, representing fluctuations in the incoming particles, can stabilize the dynamics and prevent hill formation, which is present for less regular noise.
In order to see the transition via numerical simulations, we apply a spectral Galerkin approach together with an exponential Euler method to approximate the solution of the regularised SPDE and give rigorous error estimates. |
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