Suppressing thermalization and constructing weak solutions in truncated inviscid equations of hydrodynamics: Lessons from the Burgers equation

Finite-dimensional, inviscid equations of hydrodynamics, obtained through a Fourier-Galerkin projection, thermalize with an energy equipartition. Hence, numerical solutions of such inviscid equations, which typically must be Galerkin-truncated, show a behavior at odds with the parent equation. An im...

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Bibliographic Details
Main Authors: Sugan Durai Murugan, Uriel Frisch, Sergey Nazarenko, Nicolas Besse, Samriddhi Sankar Ray
Format: Article
Language:English
Published: American Physical Society 2020-08-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.2.033202

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