Stability theory for a two-dimensional channel
A scheme for deriving conditions for the nonlinear stability of an ideal or viscous incompressible steady flow in a two-dimensional channel that is periodic in one direction is described. A lower bound for the main factor ensuring the stability of the Reynolds–Kolmogorov sinusoidal flow with no-slip...
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| Veröffentlicht in: | Computational mathematics and mathematical physics 2017-08, Vol.57 (8), p.1320-1334 |
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| container_title | Computational mathematics and mathematical physics |
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| creator | Troshkin, O. V. |
| description | A scheme for deriving conditions for the nonlinear stability of an ideal or viscous incompressible steady flow in a two-dimensional channel that is periodic in one direction is described. A lower bound for the main factor ensuring the stability of the Reynolds–Kolmogorov sinusoidal flow with no-slip conditions (short wavelength stability) is improved. A condition for the stability of a vortex strip modeling Richtmyer–Meshkov fluid vortices (long wavelength stability) is presented. |
| doi_str_mv | 10.1134/S0965542517080115 |
| format | Article |
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A condition for the stability of a vortex strip modeling Richtmyer–Meshkov fluid vortices (long wavelength stability) is presented.</description><identifier>ISSN: 0965-5425</identifier><identifier>EISSN: 1555-6662</identifier><identifier>DOI: 10.1134/S0965542517080115</identifier><language>eng</language><publisher>Moscow: Pleiades Publishing</publisher><subject>Computational fluid dynamics ; Computational Mathematics and Numerical Analysis ; Dimensional stability ; Flow stability ; Fluid flow ; Incompressible flow ; Mathematical analysis ; Mathematics ; Mathematics and Statistics ; Steady flow ; Topological manifolds ; Two dimensional flow</subject><ispartof>Computational mathematics and mathematical physics, 2017-08, Vol.57 (8), p.1320-1334</ispartof><rights>Pleiades Publishing, Ltd. 2017</rights><rights>Computational Mathematics and Mathematical Physics is a copyright of Springer, 2017.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c316t-83f040e3b80f8ec3afe37165fdea4660f3ecee3c67d5d412c0fe1ddb894e91093</citedby><cites>FETCH-LOGICAL-c316t-83f040e3b80f8ec3afe37165fdea4660f3ecee3c67d5d412c0fe1ddb894e91093</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1134/S0965542517080115$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1134/S0965542517080115$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,780,784,27924,27925,41488,42557,51319</link.rule.ids></links><search><creatorcontrib>Troshkin, O. 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| ispartof | Computational mathematics and mathematical physics, 2017-08, Vol.57 (8), p.1320-1334 |
| issn | 0965-5425 1555-6662 |
| language | eng |
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| source | SpringerLink Journals - AutoHoldings |
| subjects | Computational fluid dynamics Computational Mathematics and Numerical Analysis Dimensional stability Flow stability Fluid flow Incompressible flow Mathematical analysis Mathematics Mathematics and Statistics Steady flow Topological manifolds Two dimensional flow |
| title | Stability theory for a two-dimensional channel |
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