Intermittency and Chaos for a Nonlinear Stochastic Wave Equation in Dimension 1

Daniel Conus, Mathew Joseph, Davar Khoshnevisan, Shang Yuan Shiu

研究成果: 書貢獻/報告類型會議論文篇章同行評審

10 引文 斯高帕斯(Scopus)

摘要

Consider a nonlinear stochastic wave equation driven by space-time white noise in dimension one. We discuss the intermittency of the solution, and then use those intermittency results in order to demonstrate that in many cases the solution is chaotic. For the most part, the novel portion of our work is about the two cases where (1) the initial conditions have compact support, where the global maximum of the solution remains bounded, and (2) the initial conditions are positive constants, where the global maximum is almost surely infinite. Bounds are also provided on the behavior of the global maximum of the solution in Case (2).

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主出版物標題Malliavin Calculus and Stochastic Analysis
主出版物子標題A Festschrift in Honor of David Nualart
發行者Springer New York LLC
頁面251-279
頁數29
ISBN(列印)9781461459057
DOIs
出版狀態已出版 - 2013

出版系列

名字Springer Proceedings in Mathematics and Statistics
34
ISSN(列印)2194-1009
ISSN(電子)2194-1017

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