Yu. E. Anikonov, N. B. Ayupova, M. V. Neshchadim, “Ray expansions and identification questions for Navie–Stockes equations”, Sib. Èlektron. Mat. Izv., 2019, Volume 16,Pages <nobr>1567

Differentical equations, dynamical systems and optimal control

Ray expansions and identification questions for Navie–Stockes equations

Yu. E. Anikonov^a, N. B. Ayupova^ba, M. V. Neshchadim^ab

^a Sobolev Institute of Mathematics, 4, Koptyuga ave., Novosibirsk, 630090, Russia
^b Novosibirsk State University, 1, Pirogova str., Novosibirsk, 630090, Russia

Abstract: We consider an equation by Navier–Stokes type and investigate some questions of identification of solutions and coefficients on the base of analytical representation of solution, in particular by representation of solution in ray series form.

Keywords: Navier–Stokes equations, identification problems, ray expansion, Cauchy–Kovalevskaya theorem.

UDC: 517.95

MSC: 35Q30, 35C10, 35A10

Received March 25, 2019, published October 31, 2019

DOI: 10.33048/semi.2019.16.108