### 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) |
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Pages (from-to) | 2257-2262 |

Number of pages | 6 |

Journal | Proceedings of the American Mathematical Society |

Volume | 135 |

Issue number | 7 |

DOIs | |

State | Published - Jul 1 2007 |

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### Keywords

- Burgers equation
- Random boundary conditions
- Stationary solution

### ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics