A posteriori error estimates for self-similar solutions to the Euler equations

DOI10.3934/dcds.2020168zbMath1460.35268arXiv2002.01962OpenAlexW3011005655MaRDI QIDQ2229243

Alberto Bressan, Wen Shen

Publication date: 22 February 2021

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.01962

zbMATH Keywords

self-similar solutionsincompressible fluidEuler equationsa posterior error estimate

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Self-similar solutions to PDEs (35C06) Euler equations (35Q31)

Related Items

Numerical study of non-uniqueness for 2D compressible isentropic Euler equations ⋮ Searching for singularities in Navier-Stokes flows based on the Ladyzhenskaya-Prodi-Serrin conditions ⋮ Non-uniqueness of Leray solutions of the forced Navier-Stokes equations ⋮ Strong convergence of the vorticity for the 2D Euler equations in the inviscid limit ⋮ Nonuniqueness of solutions to the Euler equations with vorticity in a Lorentz space ⋮ Non-uniqueness of Leray solutions to the hypodissipative Navier-Stokes equations in two dimensions ⋮ Loss of regularity for the 2D Euler equations ⋮ SimEuler ⋮ Uniqueness of the 2D Euler equation on a corner domain with non-constant vorticity around the corner

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