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• W2980841474 abstract "We consider invariant measures for the stochastic Burgers equation on ({mathbb {R}}), forced by the derivative of a spacetime-homogeneous Gaussian noise that is white in time and smooth in space. An invariant measure is indecomposable, or extremal, if it cannot be represented as a convex combination of other invariant measures. We show that for each (ain {mathbb {R}}), there is a unique indecomposable law of a spacetime-stationary solution with mean a, in a suitable function space. We also show that solutions starting from spatially-decaying perturbations of mean-a periodic functions converge in law to the extremal space-time stationary solution with mean a as time goes to infinity." @default.
• W2980841474 created "2019-10-25" @default.
• W2980841474 creator A5001407594 @default.
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• W2980841474 date "2021-02-27" @default.
• W2980841474 modified "2023-10-12" @default.
• W2980841474 title "Stationary Solutions to the Stochastic Burgers Equation on the Line" @default.
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• W2980841474 doi "https://doi.org/10.1007/s00220-021-04025-x" @default.
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