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• Anotace
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Anotace knihy

The main result of this book is a proof of the contradictory nature of the Navier-Stokes problem (NSP). It is proved that the NSP is physically wrong, and the solution to the NSP does not exist on + (except for the case when the initial velocity and the exterior force are both equal to zero; in this case, the solution ( , ) to the NSP exists for all 0 and ( , ) = 0).It is shown that if the initial data 0( ) 0, ( , ) = 0 and the solution to the NSP exists for all +, then 0( ) := ( , 0) = 0.This Paradox proves that the NSP is physically incorrect and mathematically unsolvable, in general. Uniqueness of the solution to the NSP in the space 21( 3) × C( +) is proved, 21( 3) is the Sobolev space, + = [0, ).Theory of integral equations and inequalities with hyper-singular kernels is developed. The NSP is reduced to an integral inequality with a hyper-singular kernel.

Parametry knihy

Zařazení knihy Knihy v angličtině Mathematics & science Mathematics

• Plný název: Navier-Stokes Problem
• Autor: Alexander G. Ramm
• Jazyk: Angličtina
• Vazba: Brožovaná
• Počet stran: 61
• EAN: 9783031013034
• ID: 39279711
• Nakladatelství: Springer International Publishing AG
• Hmotnost: 172 g
• Rozměry: 235 × 191 × 5 mm
• Datum vydání: 06. April 2021

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