On convergence of approximate solutions to the compressible Euler system

Feireisl E, Hofmanová M (2020)
Annals of PDE 6: 11.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Feireisl, Eduard; Hofmanová, MartinaUniBi
Abstract / Bemerkung
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.
Erscheinungsjahr
2020
Zeitschriftentitel
Annals of PDE
Band
6
Art.-Nr.
11
ISSN
2524-5317
eISSN
2199-2576
Finanzierungs-Informationen
Open-Access-Publikationskosten wurden durch die Universität Bielefeld im Rahmen des DEAL-Vertrags gefördert.
Page URI
https://pub.uni-bielefeld.de/record/2946703

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Feireisl E, Hofmanová M. On convergence of approximate solutions to the compressible Euler system. Annals of PDE. 2020;6: 11.
Feireisl, E., & Hofmanová, M. (2020). On convergence of approximate solutions to the compressible Euler system. Annals of PDE, 6, 11. doi:10.1007/s40818-020-00086-8
Feireisl, E., and Hofmanová, M. (2020). On convergence of approximate solutions to the compressible Euler system. Annals of PDE 6:11.
Feireisl, E., & Hofmanová, M., 2020. On convergence of approximate solutions to the compressible Euler system. Annals of PDE, 6: 11.
E. Feireisl and M. Hofmanová, “On convergence of approximate solutions to the compressible Euler system”, Annals of PDE, vol. 6, 2020, : 11.
Feireisl, E., Hofmanová, M.: On convergence of approximate solutions to the compressible Euler system. Annals of PDE. 6, : 11 (2020).
Feireisl, Eduard, and Hofmanová, Martina. “On convergence of approximate solutions to the compressible Euler system”. Annals of PDE 6 (2020): 11.
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2020-10-23T09:45:31Z
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