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arXiv · 1502.07174

Generalized solutions of the stochastic Burgers equation

P. Catuogno·J. F. Colombeau·C. Olivera
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Abstract

We introduce a new concepts of weak solution for the conservative stochastic Burgers equation in any dimension. The definition is based on weak solution concepts introduced by various authors in order to make sense of equations which do not solutions in the sense of distributions. In one dimension the solution reduces to the classical distributional solution of the 1--D stochastic Burgers equation.

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P. Catuogno, J. F. Colombeau, C. Olivera. 2015-02-25. Generalized solutions of the stochastic Burgers equation. https://arxiv.org/abs/1502.07174

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