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Finite-Energy Solutions for Compressible Two-Fluid Stokes System

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dc.abstract.enWe prove the existence of global in time weak solutions to a compressible two-fluid Stokes system with a single velocity field and algebraic closure for the pressure law. The constitutive relation involves densities of both fluids through an implicit function. The system appears to be outside the class of problems that can be treated using the classical Lions–Feireisl approach. Adapting the novel compactness tool developed by the first author and P.-E. Jabin in the mono-fluid compressible Navier–Stokes setting, we first prove the weak sequential stability of solutions. Next, we construct weak solutions via an unconventional approximation using the Lagrangian formulation, truncations, and a stability result of trajectories for rough velocity fields.
dc.affiliationUniwersytet Warszawski
dc.contributor.authorBresch, Didier
dc.contributor.authorZatorska, Ewelina
dc.contributor.authorMucha, Piotr
dc.date.accessioned2024-01-25T00:41:05Z
dc.date.available2024-01-25T00:41:05Z
dc.date.issued2019
dc.description.financeNie dotyczy
dc.description.number2
dc.description.volume232
dc.identifier.doi10.1007/S00205-018-01337-6
dc.identifier.issn0003-9527
dc.identifier.urihttps://repozytorium.uw.edu.pl//handle/item/107171
dc.identifier.weblinkhttp://link.springer.com/content/pdf/10.1007/s00205-018-01337-6.pdf
dc.languageeng
dc.pbn.affiliationmathemathics
dc.relation.ispartofArchive for Rational Mechanics and Analysis
dc.relation.pages987-1029
dc.rightsClosedAccess
dc.sciencecloudnosend
dc.titleFinite-Energy Solutions for Compressible Two-Fluid Stokes System
dc.typeJournalArticle
dspace.entity.typePublication