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- Title
Plane Scalar Analog of Linear Degenerate Hydrodynamic Problem with Nonperiodic Microstructure of Free Surface.
- Authors
Chechkin, G.; Chechkina, T.
- Abstract
We consider the degenerate problem on low-frequency oscillations of a heavy viscous incompressible fluid in a vessel with free surface of inhomogeneous nonperiodic microstructure. For the obtained quadratic operator pencil we construct the limit (homogenized) pencil which turns out to be degenerate. We prove a homogenization theorem. Bibliography: 40 titles. Illustration: 2 figures.
- Subjects
PLANE geometry; SCALAR field theory; LINEAR statistical models; HYDRODYNAMICS; FREE surfaces; SURFACE structure
- Publication
Journal of Mathematical Sciences, 2015, Vol 207, Issue 2, p336
- ISSN
1072-3374
- Publication type
Article
- DOI
10.1007/s10958-015-2375-8