TY  - JOUR
AB  - We consider a sequence of approximate solutions to the compressible Euler system admitting uniform energy bounds and/or satisfying the relevant field equations modulo an error vanishing in the asymptotic limit. We show that such a sequence either (i) converges strongly in the energy norm, or (ii) the limit is not a weak solution of the associated Euler system. This is in sharp contrast to the incompressible case, where (oscillatory) approximate solutions may converge weakly to solutions of the Euler system. Our approach leans on identifying a system of differential equations satisfied by the associated turbulent defect measure and showing that it only has a trivial solution.
DA  - 2020
DO  - 10.1007/s40818-020-00086-8
LA  - eng
PY  - 2020
SN  - 2524-5317
T2  - Annals of PDE
TI  - On convergence of approximate solutions to the compressible Euler system
UR  - https://nbn-resolving.org/urn:nbn:de:0070-pub-29467035
Y2  - 2024-11-21T22:04:44
ER  -