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Steady transport equation in Sobolev-Slobodetskii spaces

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cris.lastimport.scopus2024-02-12T20:31:49Z
dc.abstract.enWe show existence of a regular solution in Sobolev-Slobodetskii spaces to stationary transport equation with inflow boundary condition in a two dimensional bounded domain Our result is subject to quite general constraint on the shape of the boundary around the points where the characteristics become tangent to the boundary which applies in particular to piecewise analytical domains. Our result gives a new insight on the issue of boundary singularity for the inflow problem for stationary transport equation, solution of which is crucial for investigation of stationary compressible Navier-Stokes equations with inflow/outflow.
dc.affiliationUniwersytet Warszawski
dc.contributor.authorPiasecki, Tomasz
dc.date.accessioned2024-01-26T08:10:13Z
dc.date.available2024-01-26T08:10:13Z
dc.date.issued2018
dc.description.financeNie dotyczy
dc.description.number1
dc.description.volume154
dc.identifier.doi10.4064/CM6900-12-2017
dc.identifier.issn0010-1354
dc.identifier.urihttps://repozytorium.uw.edu.pl//handle/item/120705
dc.languageeng
dc.pbn.affiliationmathemathics
dc.relation.ispartofColloquium Mathematicum
dc.relation.pages65-76
dc.rightsClosedAccess
dc.sciencecloudnosend
dc.subject.enSteady transport equation Sobolew-Slobodetski spaces inflow condition
dc.titleSteady transport equation in Sobolev-Slobodetskii spaces
dc.typeJournalArticle
dspace.entity.typePublication