Burgers equation with random boundary conditions

Yuri Bakhtin

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

Burgers equation with random boundary conditions

Yuri Bakhtin

Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English (US)
Pages (from-to)	2257-2262
Number of pages	6
Journal	Proceedings of the American Mathematical Society
Volume	135
Issue number	7
DOIs	https://doi.org/10.1090/S0002-9939-07-08736-9
State	Published - Jul 2007

Keywords

Burgers equation
Random boundary conditions
Stationary solution

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1090/S0002-9939-07-08736-9

Cite this

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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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Burgers equation with random boundary conditions

Abstract

Keywords

ASJC Scopus subject areas

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