| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4626658 | Applied Mathematics and Computation | 2015 | 9 Pages |
Abstract
A mathematical model describing motion of an inhomogeneous incompressible fluid in a Hele–Shaw cell is considered. Linear stability analysis of shear flow class is provided. The role of inertia, linear friction and impermeable boundaries in Kelvin–Helmholtz instability is studied. Hierarchy of simplified one-dimensional models of viscosity- and density-stratified flows is obtained in long-wave approximation. Interpretation of Saffman–Taylor instability is given in the framework of these models.
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Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Alexander A. Chesnokov, Irina V. Stepanova,