Roughness in surface growth equations

23. Dirk Blömker, Stanislaus Maier-Paape, Thomas Wanner:
    Roughness in surface growth equations
    Interfaces and Free Boundaries 3(4), pp. 465-484, 2001.

Abstract

We consider the roughness of surfaces described by stochastic partial differential equations on bounded domains which arise in surface growth equations. The roughness is usually described by the mean interface width, which is the expected value of the squared $L^2$-norm. Our main results describe the growth of the mean interface width for linear stochastic partial differential equations perturbed by white or colored noise.

Links

The published version of the paper can be found at https://doi.org/10.4171/IFB/49.

Bibtex

@article{bloemker:etal:01c,
   author = {Dirk Bl\"omker and Stanislaus Maier-Paape
             and Thomas Wanner},
   title = {Roughness in surface growth equations},
   journal = {Interfaces and Free Boundaries},
   year = 2001,
   volume = 3,
   number = 4,
   pages = {465--484},
   doi = {10.4171/IFB/49}
   }