6533b839fe1ef96bd12a5924

RESEARCH PRODUCT

Computing oscillatory solutions of the Euler system via đť’¦-convergence

Eduard FeireislEduard FeireislMária Lukáčová Medvid’ováYue WangBangwei SheBangwei She

subject

Applied MathematicsModeling and SimulationConvergence (routing)CompressibilityApplied mathematicsEuler systemMathematicsYoung measure

description

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 [Formula: see text]-convergence adapted to sequences of parameterized measures. The convergence is strong in space and time (a.e. pointwise or in certain [Formula: see text] spaces) whereas the measures converge narrowly or in the Wasserstein distance to the corresponding limit.

https://doi.org/10.1142/s0218202521500123