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- W3005276687 abstract "The main goal of this paper is to analyze a family of simplest possible initial data for which, as shown by numerical simulations, the incompressible Euler equations have multiple solutions. We take here a first step toward a rigorous validation of these numerical results. Namely, we consider the system of equations corresponding to a self-similar solution, restricted to a bounded domain with smooth boundary. Given an approximate solution obtained via a finite dimensional Galerkin method, we establish a posteriori error bounds on the distance between the numerical approximation and the exact solution having the same boundary data." @default.
- W3005276687 created "2020-02-14" @default.
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- W3005276687 date "2020-02-05" @default.
- W3005276687 modified "2023-09-23" @default.
- W3005276687 title "A Posteriori Error Estimates for Self-Similar Solutions to the Euler Equations" @default.
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- W3005276687 doi "https://doi.org/10.48550/arxiv.2002.01962" @default.
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