New PDF release: A cauchy problem with discontinuous initial data modeling

By Lyakhova S.L.

The systematic research of the equations of movement for debris of a rotating medium used to be initiated through Sobolev [1, 2]. those equations range from the standard Navier-Stokes equations in that they include the time period [v, w], the vector fabricated from the speed by means of the angular rotation pace, which takes account of the rotation of the reference process.

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Because P(0) is large, the P (0) is expected to be even larger due to the large 0 . s. dominance for the cases of four fermions in a single-j shell, and similarly for the case of four bosons with spin l. For cases with very large dimensions (larger than 100) and large enough particle numbers, Zuker and collaborators presented √ a formula [74] to obtain the lower bound for the energy of states with angular momentum I: EI − ln DI / ln 2 I . In Ref. s. dominance in the presence of random interactions.

S. dominance is more or less independent of monopole pairing. s. dominance for a given system. A shortcoming of the empirical approach of Refs. [56,58] is as follows: One takes one of GJ ’s is set to be −1 (other GJ ’s are zero) in each numerical experiment, and one finds the angular momentum of the lowest state. The case with GJ = 1 is excluded in the numerical experiments because one would likely obtain degenerate levels with the lowest energy for this case. s. probabilities by the empirical approach of Refs.

52) for EI by resorting to the group structure of U (2j + 1) ⊃ O(3) for n fermions in a single-j shell. They also pointed out that the use of the cranking approximation and the Fermi–Dirac occupancies of particles in Refs. [45,46] are equivalent to the approach by using group symmetries of the TBRE as in Ref. [80]. Although the approach of Refs. [45,46] does not produce the same results as those in Refs. [71–73], the concept of geometric chaoticity introduced in Refs. [45,46] is essentially the same as the randomness of two-body coefficients of fractional parentage introduced in Refs.

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A cauchy problem with discontinuous initial data modeling propagation of vibrations in a rotating viscous compressible fluid by Lyakhova S.L.


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