Document Detail


The stochastic piston problem.
MedLine Citation:
PMID:  15514024     Owner:  NLM     Status:  PubMed-not-MEDLINE    
Abstract/OtherAbstract:
We obtain analytical solutions for the perturbed shock paths induced by time-varying random motions of a piston moving inside an adiabatic tube of constant area. The variance of the shock location grows quadratically with time for early times and switches to linear growth for longer times. The analytical results are confirmed by stochastic numerical simulations, and deviations for large random piston motions are established.
Authors:
G Lin; C H Su; G E Karniadakis
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Publication Detail:
Type:  Journal Article     Date:  2004-10-28
Journal Detail:
Title:  Proceedings of the National Academy of Sciences of the United States of America     Volume:  101     ISSN:  0027-8424     ISO Abbreviation:  Proc. Natl. Acad. Sci. U.S.A.     Publication Date:  2004 Nov 
Date Detail:
Created Date:  2004-11-10     Completed Date:  2004-12-28     Revised Date:  2008-11-20    
Medline Journal Info:
Nlm Unique ID:  7505876     Medline TA:  Proc Natl Acad Sci U S A     Country:  United States    
Other Details:
Languages:  eng     Pagination:  15840-5     Citation Subset:  -    
Affiliation:
Division of Applied Mathematics, Brown University, 182 George Street, Providence, RI 02912, USA.
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