Burgers equation with random boundary conditions-Reference-Cited by-同舟云学术

Burgers equation with random boundary conditions

Published:2007-03-02 Issue:7 Volume:135 Page:2257-2262
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Bakhtin Yuri

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2007-135-07/S0002-9939-07-08736-9/S0002-9939-07-08736-9.pdf

Reference7 articles.

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4. The partial differential equation 𝑢_{𝑡}+𝑢𝑢ₓ=𝜇𝑢ₓₓ;Hopf, Eberhard;Comm. Pure Appl. Math.,1950

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