Burgers equation with random boundary conditions

Bakhtin, Yuri

doi:10.1090/S0002-9939-07-08736-9

Burgers equation with random boundary conditions
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by Yuri Bakhtin

Proc. Amer. Math. Soc. 135 (2007), 2257-2262

DOI: https://doi.org/10.1090/S0002-9939-07-08736-9

Published electronically: 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.

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