dorsal/arxiv
View SchemaCharged-Surface Instability Development in Liquid Helium; Exact Solutions
| Authors | N. M. Zubarev |
|---|---|
| Categories | |
| ArXiv ID | physics/0009041 |
| URL | https://arxiv.org/abs/physics/0009041 |
| DOI | 10.1134/1.568355 |
| Journal | JETP Lett. 71 (2000) 367-369 |
Abstract
The nonlinear dynamics of charged-surface instability development was investigated for liquid helium far above the critical point. It is found that, if the surface charge completely screens the field above the surface, the equations of three-dimensional (3D) potential motion of a fluid are reduced to the well-known equations describing the 3D Laplacian growth process. The integrability of these equations in 2D geometry allows the analytic description of the free-surface evolution up to the formation of cuspidal singularities at the surface.
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"abstract": "The nonlinear dynamics of charged-surface instability development was\ninvestigated for liquid helium far above the critical point. It is found that,\nif the surface charge completely screens the field above the surface, the\nequations of three-dimensional (3D) potential motion of a fluid are reduced to\nthe well-known equations describing the 3D Laplacian growth process. The\nintegrability of these equations in 2D geometry allows the analytic description\nof the free-surface evolution up to the formation of cuspidal singularities at\nthe surface.",
"arxiv_id": "physics/0009041",
"authors": [
"N. M. Zubarev"
],
"categories": [
"physics.flu-dyn",
"nlin.PS",
"nlin.SI"
],
"doi": "10.1134/1.568355",
"journal_ref": "JETP Lett. 71 (2000) 367-369",
"title": "Charged-Surface Instability Development in Liquid Helium; Exact Solutions",
"url": "https://arxiv.org/abs/physics/0009041"
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