Approximation of a simple Navier-Stokes model by monotonic rearrangement

Yann Brenier

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arXiv · 1211.1764

Approximation of a simple Navier-Stokes model by monotonic rearrangement

Yann Brenier

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Abstract

We consider a Navier-Stokes model for compressible fluids in one space dimension. We show that it can be approximated by a time-discrete scheme combining the discretization of a trivial stochastic differential equation and the application of a suitable monotonic rearrangement operator In addition, our result can be easily extended to a related Navier-Stokes-Poisson system.

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Yann Brenier. 2012-11-08. Approximation of a simple Navier-Stokes model by monotonic rearrangement. https://arxiv.org/abs/1211.1764

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