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Burgers equation with random boundary conditions
Authors:Yuri Bakhtin
Affiliation:The Fields Institute for Research in Mathematical Sciences, 222 College Street, Second Floor, Toronto, Ontario, Canada M5T 3J1
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.

Keywords:Burgers equation   stationary solution   random boundary conditions
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