Computing oscillatory solutions of the Euler system via K-convergence

0542579 - MÚ 2022 RIV SG eng J - Journal Article
Feireisl, Eduard - Lukáčová-Medviďová, M. - She, Bangwei - Wang, Y.
Computing oscillatory solutions of the Euler system via K-convergence.
Mathematical Models and Methods in Applied Sciences. Roč. 31, č. 3 (2021), s. 537-576. ISSN 0218-2025. E-ISSN 1793-6314
R&D Projects: GA ČR(CZ) GA18-05974S
Institutional support: RVO:67985840
Keywords : K-convergence * compressible Euler system * consistent approximate solutions * dissipative solutions
OECD category: Pure mathematics
Impact factor: 3.803, year: 2021
Method of publishing: Limited access
https://doi.org/10.1142/S0218202521500123

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 -convergence adapted to sequences of parameterized measures. The convergence is strong in space and time (a.e. pointwise or in certain Lq spaces) whereas the measures converge narrowly or in the Wasserstein distance to the corresponding limit.
Permanent Link: http://hdl.handle.net/11104/0319967