Concave majorant of stochastic processes and Burgers turbulence (Q430969)
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scientific article; zbMATH DE number 6050418
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Concave majorant of stochastic processes and Burgers turbulence |
scientific article; zbMATH DE number 6050418 |
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Concave majorant of stochastic processes and Burgers turbulence (English)
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26 June 2012
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The author analyses the structure of shocks for the one-dimensional inviscid Burgers equation when the initial potential \(\psi_0(x)\) (associated with the solution of the Burgers equation) is a Lévy process with bounded variation, no drift and infinite Lévy measure. The analysis is performed by studying the projection onto the \(x\)-axis of the subset of the set of extremal points of the convex hull of \(\psi_0(x)\) consisting of points lying on the upper boundary.
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Lévy processes
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Burgers equation
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convex hull
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