Show simple item record

dc.contributor.authorHuo, Xiaokai
dc.contributor.authorJüngel, Ansgar
dc.contributor.authorTzavaras, Athanasios
dc.date.accessioned2022-05-16T07:03:50Z
dc.date.available2022-05-16T07:03:50Z
dc.date.issued2022-05-13
dc.identifier.urihttp://hdl.handle.net/10754/677939
dc.description.abstractA Maxwell-Stefan system for fluid mixtures with driving forces depending on Cahn-Hilliard-type chemical potentials is analyzed. The corresponding parabolic cross-diffusion equations contain fourth-order derivatives and are considered in a bounded domain with no-flux boundary conditions. The main difficulty of the analysis is the degeneracy of the diffusion matrix, which is overcome by proving the positive definiteness of the matrix on a subspace and using the Bott--Duffin matrix inverse. The global existence of weak solutions and a weak-strong uniqueness property are shown by a careful combination of (relative) energy and entropy estimates, yielding H2(Ω) bounds for the densities, which cannot be obtained from the energy or entropy inequalities alone
dc.description.sponsorshipXH and AJ acknowledge partial support from the Austrian Science Fund (FWF), grants P33010, W1245, and F65. AET acknowledges support from the King Abdullah University of Science and Technology (KAUST). This work has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme, ERC Advanced Grant no. 101018153.
dc.publisherarXiv
dc.relation.urlhttps://arxiv.org/pdf/2205.06478.pdf
dc.rightsArchived with thanks to arXiv
dc.titleExistence and weak-strong uniqueness for Maxwell-Stefan-Cahn-Hilliard systems
dc.typePreprint
dc.contributor.departmentComputer, Electrical and Mathematical Science and Engineering (CEMSE) Division
dc.contributor.departmentApplied Mathematics and Computational Science Program
dc.eprint.versionPre-print
dc.contributor.institutionInstitute of Analysis and Scientific Computing, Technische Universitat Wien, Wiedner ¨ Hauptstraße 8–10, 1040 Wien, Austria
dc.identifier.arxivid2205.06478
kaust.personTzavaras, Athanasios
refterms.dateFOA2022-05-16T07:05:12Z


Files in this item

Thumbnail
Name:
maxwellstefancahnhilliard.pdf
Size:
441.3Kb
Format:
PDF
Description:
Preprint

This item appears in the following Collection(s)

Show simple item record