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Burgers equation with random boundary conditions
Author(s):
Yuri
Bakhtin
Journal:
Proc. Amer. Math. Soc.
135
(2007),
2257-2262.
MSC (2000):
Primary 35R60, 35Q53;
Secondary 76M30
Posted:
March 2, 2007
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Abstract:
We prove an existence and uniqueness theorem for stationary solutions of the inviscid Burgers equation on a segment with random boundary conditions. We also prove exponential convergence to the stationary distribution.
References:
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Additional Information:
Yuri
Bakhtin
Affiliation:
The Fields Institute for Research in Mathematical Sciences, 222 College Street, Second Floor, Toronto, Ontario, Canada M5T 3J1
Address at time of publication:
School of Mathematics, Georgia Institute of Technology, Atlanta, Georgia 30332-0160
Email:
ybakhtin@fields.utoronto.ca, bakhtin@math.gatech.edu
DOI:
10.1090/S0002-9939-07-08736-9
PII:
S 0002-9939(07)08736-9
Keywords:
Burgers equation,
stationary solution,
random boundary conditions
Received by editor(s):
December 22, 2005
Received by editor(s) in revised form:
March 30, 2006
Posted:
March 2, 2007
Communicated by:
Edward C. Waymire
Copyright of article:
Copyright
2007,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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