Stationary solutions for a model of amorphous thin-film growth

被引：10

作者：

Blömker, D

Hairer, M

机构：

[1] Rhein Westfal TH Aachen, Inst Math, D-52062 Aachen, Germany

[2] Univ Geneva, Dept Phys Theor, CH-1211 Geneva, Switzerland

来源：

STOCHASTIC ANALYSIS AND APPLICATIONS | 2004年 / 22卷 / 04期

关键词：

surface growth; stationary solution; spectral Galerkin method; SPDE; mild martingale solution;

D O I：

10.1081/SAP-120037624

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a class of stochastic partial differential equations arising as a model for amorphous thin film growth. Using a spectral Galerkin method, we verify the existence of stationary mild solutions, although the specific nature of the nonlinearity prevents us from showing the uniqueness of the solutions as well as their boundedness (in time).

引用

页码：903 / 922

页数：20

共 19 条

[1]

[Anonymous], 1988, MATH PROBLEMS STAT H

[2]

Arnold L., 1974, STOCHASTIC DIFFERENT, DOI DOI 10.1002/ZAMM.19770570413

[3]

Barabasi A.-L., 1995, FRACTAL CONCEPTS SUR, DOI [10.1017/CBO9780511599798, DOI 10.1017/CBO9780511599798]

[4] Thin-film-growth models:: roughness and correlation functions [J].