Mixed boundary-value problems for motion equations of a viscoelastic medium
We study the mixed boundary-value problem for steady motion equations of an incompressible viscoelastic medium of Jeffreys type in a fixed three-dimensional domain. On one part of the boundary the no-slip condition is provided, while on the other one the impermeability condition and non-homogeneo...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2015-09-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2015/252/abstr.html |
| Summary: | We study the mixed boundary-value problem for steady motion equations of an
incompressible viscoelastic medium of Jeffreys type in a fixed three-dimensional
domain. On one part of the boundary the no-slip condition is provided,
while on the other one the impermeability condition and non-homogeneous
Dirichlet boundary conditions for tangential component of the surface force
is used. The existence of weak solutions of the formulated boundary-value problem
is proved. Some estimates for weak solutions are established; it is shown
that the set of weak solutions is sequentially weakly closed. |
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| ISSN: | 1072-6691 |