On stochastic Euler equation in \(\mathbb R^d\) (Q1977450)
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scientific article; zbMATH DE number 1447298
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On stochastic Euler equation in \(\mathbb R^d\) |
scientific article; zbMATH DE number 1447298 |
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On stochastic Euler equation in \(\mathbb R^d\) (English)
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18 May 2000
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A stochastic partial differential equation (SPDE) is studied using the associated Euler coordinates obeying to a Euler equation with random forcing in the whole space and represented by a first order SPDE. Including a random perturbation for Euler coordinates a corresponding second order SPDE is derived. There are given and proved eight propositions. The paper is addressed to researchers working in the field of SPDE and interested in equivalent associated stochastic differential equations fulfilled by Euler coordinates.
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stochastic partial differential equations
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