Geodesic
Roughness in surface growth equations
Dirk Blömker1 ; Stanislaus Maier-Paape1 ; Thomas Wanner2
1RWTH Aachen, Germany
2George Mason University, Fairfax, USA
Interfaces and free boundaries, Tome 3 (2001) no. 4, pp. 465-484

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DOI

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 L2 -norm. Our main results describe the growth of the mean interface width for linear stochastic partial differential equations perturbed by white or colored noise.
DOI : 10.4171/ifb/49
Classification : 46-XX, 60-XX
Mots-clés : Surface roughness, molecular beam epitaxy, stochastic partial differential equations, additive white and colored noise, mean interface width

Dirk Blömker  1   ; Stanislaus Maier-Paape  1   ; Thomas Wanner  2

1 RWTH Aachen, Germany
2 George Mason University, Fairfax, USA 
Dirk Blömker; Stanislaus Maier-Paape; Thomas Wanner. Roughness in surface growth equations. Interfaces and free boundaries, Tome 3 (2001) no. 4, pp. 465-484. doi: 10.4171/ifb/49
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