×

zbMATH — the first resource for mathematics

Attractors for quasilinear second-order parabolic equations of the general form. (English. Russian original) Zbl 0729.35066
J. Sov. Math. 56, No. 2, 2389-2396 (1991); translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 171, 163-173 (1989).
See the review in Zbl 0719.35050.

MSC:
35K60 Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations
35B40 Asymptotic behavior of solutions to PDEs
35K10 Second-order parabolic equations
PDF BibTeX Cite
Full Text: DOI
References:
[1] O. A. Ladyzhenskaya, ”On the dynamical system generated by the Navier-Stokes equations,” Zap. Nauchn. Sem. Leningr. Otd. Mat. Inst.,27, 91–115 (1972). · Zbl 0327.35064
[2] O. A. Ladyzhenskaya, ”On the determination of minimal global attractors for the Navier-Stokes and other partial differential equations,” Usp. Mat. Nauk,42, No. 6, 25–60 (1987). · Zbl 0687.35072
[3] O. A. Ladyzhenskaya, On the determination of minimal global B-attractors for semigroups generated by initialboundary value problems for nonlinear dissipative partial differential equations. Preprint LOMI, E-3-87, Leningrad (1987).
[4] O. A. Ladyzhenskaya, V. A. Solonnikov, and N. N. Ural’tseva, Linear and Quasilinear Equations of Parabolic Type, Amer. Math. Soc., Providence (1968).
[5] O. A. Ladyzhenskaya and N. N. Ural’tseva, ”A survey of results on the solvability of boundary value problems for uniformly elliptic and parabolic second-order equations having unbounded singularities,” Usp. Mat. Nauk,41, No. 5, 59–83 (1986).
[6] O. A. Ladyzhenskaya, ”On estimates for the fractal dimension and the number of determining modes for invariant sets of dynamical systems,” Zap. Nauchn. Sem. Leningr. Otd. Mat. Inst.,163, 105–128 (1987). · Zbl 0665.58039
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.