EXISTENCE AND UNIQUENESS OF SOLUTIONS OF THE EQUATIONS OF MOTION FOR A FLUID OF 2ND-GRADE WITH NONHOMOGENEOUS BOUNDARY-CONDITIONS

Authors
GALDI GP GROBBELAARVANDALSEN M SAUER N
Citation
Gp. Galdi et al., EXISTENCE AND UNIQUENESS OF SOLUTIONS OF THE EQUATIONS OF MOTION FOR A FLUID OF 2ND-GRADE WITH NONHOMOGENEOUS BOUNDARY-CONDITIONS, International journal of non-linear mechanics, 30(5), 1995, pp. 701-709
Citations number
16
Categorie Soggetti
Mechanics
Journal title
International journal of non-linear mechanics → ACNP
ISSN journal
00207462
Volume
30
Issue
5
Year of publication
1995
Pages
701 - 709
Database
ISI
SICI code
0020-7462(1995)30:5<701:EAUOSO>2.0.ZU;2-V
Abstract
In this paper we consider the equations of motion for a fluid of secon d grade together with non-homogeneous boundary conditions. We study th e problem in a simply connected domain in R(3) and show the existence of a unique classical solution-local in time-under suitable regularity conditions on the boundary values. The method consists of an appropri ate decomposition of the original problem along with application of mu ltivalued fixed point theory.