A priori estimates on the semiaxis t≥0 for the solutions of the equations of motion of linear viscoelastic fluids with an infinite Dirichlet integral, and their applications

Author:

Kotsiolis A. A.,Oskolkov A. P.,Shadiev R. D.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Mathematics,Statistics and Probability,Applied Mathematics,General Mathematics,Statistics and Probability

Reference13 articles.

1. A. A. Kotsiolis (A. Cotsiolis), A. P. Oskolkov, and R. D. Shadiev, Global a priori estimates on the semiaxis t≥0, the asymptotic stability and periodicity with respect to time of the “small” solutions of the equations of motion of Oldroyd and Kelvin—Voight fluids. Preprint LOMI R-10-89 (1989).

2. A. A. Kotsiolis (A. Cotsiolis), A. P. Oskolkov, and R. D. Shadiev, “Asymptotic stability and periodicity with respect to time of the “small” solutions of the equations of motion of Oldroyd and Kelvin—Voight fluids,” Zap. Nauchn. Sem. Leningr. Otd. Mat. Inst.,180, 137–150 (1989).

3. M. Shinbrot and S. Kaniel, “The initial value problem for the Navier-Stokes equations,” Arch. Rational Mech. Anal.21, No. 4, 270–285 (1966).

4. J. G. Heywood, “The Navier—Stokes equations: On the existence, regularity and decay of solutions,” Indiana Univ. Math. J.,29, No. 5, 639–681 (1980).

5. J. G. Heywood and R. Rannacher, “Finite element approximation of the nonstationary Navier—Stokes problem. 1. Regularity of solutions and second-order error estimates for spatial discretization,” SIAM J. Numer. Anal.,19, No. 2, 275–311 (1982).

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