On the conservation of energy in two-dimensional incompressible flows

DOI10.1088/1361-6544/abb452zbMath1464.35232arXiv2001.06195OpenAlexW3047580848MaRDI QIDQ4986198

Siddhartha Mishra, Carlos Parés-Pulido, Samuel Lanthaler

Publication date: 27 April 2021

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.06195

zbMATH Keywords

turbulenceenergy conservationincompressible flowincompressible Euler equationsstructure functionstatistical solutionanomalous dissipation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Statistical turbulence modeling (76F55) Stochastic analysis applied to problems in fluid mechanics (76M35) Spectral methods applied to problems in fluid mechanics (76M22) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Numerical solutions to stochastic differential and integral equations (65C30) Weak solutions to PDEs (35D30) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Euler equations (35Q31)

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