Computing oscillatory solutions of the Euler system via K-convergence

2019/10/08 by Eduard Feireisl, Maria Lukacova, Feireisl, Eduard +5 · 2 citations
Engineering · Mathematics · #Advanced Numerical Methods in Computational Mathematics #Algebraic and Geometric Analysis #FOS: Mathematics #Numerical Analysis (math.NA) #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.1910.03161

openalex publication_date 2019/10/08 · openalex created_date 2019/10/18 · openalex updated_date 2026/07/28

Abstract

We develop a method to compute effectively the Young measures associated to sequences of numerical solutions of the compressible Euler system. Our approach is based on the concept of K-convergence adapted to sequences of parametrized measures. The convergence is strong in space and time (a.e.~pointwise or in certain L^q spaces) whereas the measures converge narrowly or in the Wasserstein distance to the corresponding limit.

Citations

• On the convergence of a finite volume method for the Navier-Stokes-Fourier system

Cited by

• A Comparative Study of Low-Dissipation Numerical Schemes for Hyperbolic Conservation Laws
• A Convergent Structure-Preserving Scheme for Dissipative Solutions of the Rotating Shallow Water System

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