Computing oscillatory solutions of the Euler system via $\mathcal{K}$-convergence
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 $\mathcal{K}$-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.
- Publication:
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arXiv e-prints
- Pub Date:
- October 2019
- DOI:
- 10.48550/arXiv.1910.03161
- arXiv:
- arXiv:1910.03161
- Bibcode:
- 2019arXiv191003161F
- Keywords:
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- Mathematics - Numerical Analysis
- E-Print:
- 35 pages, 8 figures