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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2004 Volume 317, Pages 57–65 (Mi znsl714)

An interpretation of the Vakulenko–Kapitansky estimate

T. A. Bolokhov, P. A. Bolokhov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences

Abstract: Introducing a concept of twisted tubes we provide a speculative interpretation of the exponent $3/4$ in the Vakulenko–Kapitansky estimate for the Faddeev–Skyrme model. This allows one to make an assumption about the area of applicability of the fit derived from VK estimate. We propose an example of sequence of knotted configurations which may be utilized in construction of the static solutions with high energies.

UDC: 517.9

Received: 20.12.2004


 English version:
Journal of Mathematical Sciences (New York), 2006, 136:1, 3560–3563

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© Steklov Math. Inst. of RAS, 2024