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Book synopsis

V.N. Bukhartsev, M.R. Petrichenko, Ekstremal'nye zadachi dlya fil'tratsionnykh potokov. Traditsionnye zadachi gidravlicheskoy teorii fil'tratsii (ob opredelenii svobodnoy poverkhnosti fil'tratsionnogo potoka, vychislenie vysoty promezhutka vysachivaniya) izuchayutsya v variatsionnoy postanovke. Dokazyvaetsya vozmozhnost' pogruzheniya traektoriy uravneniy fil'tratsii v pole ekstremaley proizvodyashchikh funktsionalov. Eta protsedura pozvolyaet, vo-pervykh, oslabit' topologiyu zadachi do , vo-vtorykh, rasshirit' oblast' opredeleniya uravneniy teorii fil'tratsii do neravnomernykh dvizheniy, nayti predstavlenie dlya gomeomorfizma potoka i vvesti mery otkloneniya deystvitel'nykh dvizheniy ot ravnomernykh. Nakonets, proizvodyashchie funktsionaly (deystviya) vybirayutsya ne iz arsenala mekhaniki (printsipy Gamil'tona, Lezhen-Dirikhle, naimen'shego prinuzhdeniya i t.p.), no stroyatsya yavno, iskhodya iz fenomenologicheskikh uravneniy gidravlicheskoy teorii, s pomoshch'yu prostykh protsedur. Rabota prednaznachena, glavnym obrazom, dlya spetsialistov v oblasti prikladnoy matematiki i mekhaniki, soprikasayushchikhsya s zadachami gidravliki.

Book details

• Full title: Ekstremal'nye Zadachi Dlya Fil'tratsionnykh Potokov
• Author: Mikhail Petrichenko, Vladimir Bukhartsev
• Language: Russian
• Binding: Paperback
• Number of pages: 84
• EAN: 9783847397366
• ISBN: 3847397362
• ID: 07170595
• Publisher: Palmarium Academic Publishing
• Weight: 136 g
• Dimensions: 229 × 152 × 5 mm
• Date of publishing: 04. August 2012

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