Random Burgers equation and Lagrangian systems in non-compact domains

Viet H. Hoang; Konstantin Khanin

doi:10.1088/0951-7715/16/3/303

Random Burgers equation and Lagrangian systems in non-compact domains

Viet H. Hoang, Konstantin Khanin

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

19 Citations (Scopus)

Abstract

In this paper we study stationary distributions for randomly forced Burgers and Hamilton-Jacobi equations in R^d in the case when the forcing potentials have a large global maxima and a small global minima in a compact part of R^d. We also study the structure of minimizing trajectories for corresponding random Lagrangian systems.

Original language	English
Pages (from-to)	819-842
Number of pages	24
Journal	Nonlinearity
Volume	16
Issue number	3
DOIs	https://doi.org/10.1088/0951-7715/16/3/303
Publication status	Published - May 2003

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title = "Random Burgers equation and Lagrangian systems in non-compact domains",

abstract = "In this paper we study stationary distributions for randomly forced Burgers and Hamilton-Jacobi equations in Rd in the case when the forcing potentials have a large global maxima and a small global minima in a compact part of Rd. We also study the structure of minimizing trajectories for corresponding random Lagrangian systems.",

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AU - Khanin, Konstantin

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AB - In this paper we study stationary distributions for randomly forced Burgers and Hamilton-Jacobi equations in Rd in the case when the forcing potentials have a large global maxima and a small global minima in a compact part of Rd. We also study the structure of minimizing trajectories for corresponding random Lagrangian systems.

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U2 - 10.1088/0951-7715/16/3/303

DO - 10.1088/0951-7715/16/3/303

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JO - Nonlinearity

JF - Nonlinearity

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Random Burgers equation and Lagrangian systems in non-compact domains

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