Title On a third order initial boundary value problem in a plane domain /
Authors Klovienė, Neringa
DOI 10.15388/NA.17.3.14058
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Is Part of Nonlinear analysis: modelling and control.. Vilnius : Vilniaus universiteto leidykla. 2012, vol. 17, no. 3, p. 312-326.. ISSN 1392-5113. eISSN 2335-8963
Keywords [eng] initial boundary value problem ; third order evolutionary equation ; second grade fluid flow ; infinite pipe flow
Abstract [eng] Third order initial boundary value problem is studied in a bounded plane domain σ with C4 smooth boundary ðσ. The existence and uniqueness of the solution is proved using Galerkin approximations and a priory estimates. The problem under consideration appear as an auxiliary problem by studying a second grade fluid motion in an infinite three-dimensional pipe with non-circular cross-section.
Published Vilnius : Vilniaus universiteto leidykla
Type Journal article
Language English
Publication date 2012
CC license CC license description