On a third order initial boundary value problem in a plane domain

Autor: Neringa Klovienė
Jazyk: angličtina
Rok vydání: 2012
Předmět:
Zdroj: Nonlinear Analysis, Vol 17, Iss 3 (2012)
Druh dokumentu: article
ISSN: 1392-5113
2335-8963
Popis: Third order initial boundary value problem is studied in a bounded plane domain σ with C4 smooth boundary ∂σ. 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 noncircular cross-section.
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