Utvidet returrett til 31. januar 2024
Om Ramm, A: Navier¿Stokes Problem

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.

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  • Språk:
  • Tysk
  • ISBN:
  • 9783031013034
  • Bindende:
  • Paperback
  • Sider:
  • 80
  • Utgitt:
  • 6. april 2021
  • Dimensjoner:
  • 191x5x235 mm.
  • Vekt:
  • 169 g.
  • BLACK NOVEMBER
  Gratis frakt
Leveringstid: 2-4 uker
Forventet levering: 28. november 2024

Beskrivelse av Ramm, A: Navier¿Stokes Problem

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.

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