Contributions to Books:
X. Huo, A. Jüngel, A. Tzavaras:
"High-friction limits of Euler flows for multicomponent systems";
in: "ASC Report 29/2018",
issued by: Institute for Analysis and Scientific Computing;
Vienna University of Technology,
The high-friction limit in Euler-Korteweg equations for ﬂuid mixtures is an-alyzed. The convergence of the solutions towards the zeroth-order limiting system and the ﬁrst-order correction is shown, assuming suitable uniform bounds. Three results are proved: The ﬁrst-order correction system is shown to be of Maxwell-Stefan type and its diﬀusive part is parabolic in the sense of Petrovskii. The high-friction limit towards the ﬁrst-order Chapman-Enskog approximate system is proved in the weak-strong solution context for general Euler-Korteweg systems. Finally, the limit towards the zeroth-order system is shown for smooth solutions in the isentropic case and for weak-strong solutions in the Euler-Korteweg case. These results include the case of constant capillarities and multicomponent quantum hydrodynamic models.
High-friction limit, relaxation limit, Euler-Korteweg equations, Maxwell-Stefan systems, relative entropy method
Electronic version of the publication:
Created from the Publication Database of the Vienna University of Technology.