dorsal/arxiv
View SchemaExactly Integrable Dynamics of Interface between Ideal Fluid and Light Viscous Fluid
| Authors | Pavel M. Lushnikov |
|---|---|
| Categories | |
| ArXiv ID | physics/0407041 |
| URL | https://arxiv.org/abs/physics/0407041 |
| DOI | 10.1016/j.physleta.2004.06.073 |
| Journal | Physics Letters A, v.329, pp.49-54 (2004). |
Abstract
It is shown that dynamics of the interface between ideal fluid and light viscous fluid is exactly integrable in the approximation of small surface slopes for two-dimensional flow. Stokes flow of viscous fluid provides a relation between normal velocity and pressure at interface. Surface elevation and velocity potential of ideal fluid are determined from two complex Burgers equations corresponding to analytical continuation of velocity potential at the interface into upper and lower complex half planes, respectively. The interface loses its smoothness if complex singularities (poles) reach the interface.
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"abstract": "It is shown that dynamics of the interface between ideal fluid and light\nviscous fluid is exactly integrable in the approximation of small surface\nslopes for two-dimensional flow. Stokes flow of viscous fluid provides a\nrelation between normal velocity and pressure at interface. Surface elevation\nand velocity potential of ideal fluid are determined from two complex Burgers\nequations corresponding to analytical continuation of velocity potential at the\ninterface into upper and lower complex half planes, respectively. The interface\nloses its smoothness if complex singularities (poles) reach the interface.",
"arxiv_id": "physics/0407041",
"authors": [
"Pavel M. Lushnikov"
],
"categories": [
"physics.flu-dyn",
"nlin.PS",
"nlin.SI"
],
"doi": "10.1016/j.physleta.2004.06.073",
"journal_ref": "Physics Letters A, v.329, pp.49-54 (2004).",
"title": "Exactly Integrable Dynamics of Interface between Ideal Fluid and Light Viscous Fluid",
"url": "https://arxiv.org/abs/physics/0407041"
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