OA Ladyzhenskaya, “On the determination of minimal global attractors for the Navier–Stokes
and other partial differential equations”, Uspekhi Mat. Nauk, 42:6(258) (1987), 25–60; Russian …

The purpose of this course is to study the dynamics of PDE on thin domains. The main
motivation of this kind of problems comes from two sources. The first source is physics; thin …

One of the major problems in the study of evolution equations of mathematical physics is the
investigation of the behavior of the solutions to these equations when time is large or tends …

The authors consider abstract nonlinear second order evolution equations with a nonlinear
damping. Questions related to long time behavior, existence and structure of global …

In this volume, Olga A. Ladyzhenskaya expands on her highly successful 1991 Accademia
Nazionale dei Lincei lectures. The lectures were devoted to questions of the behaviour of …

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Long time behavior of a semilinear wave equation with nonlinear boundary dissipation and
critical exponent is considered. It is shown that weak solutions generated by the wave …

In this paper we present a characterization for the existence of an exponential dichotomy for
a linear evolutionary system on a Banach space. The theory we present here applies to …

A damped semilinear hyperbolic equation with linear memory is considered in a history
space setting. Namely, past history of the displacement is regarded itself as a variable along …

We extend previous results on the existence of the global attractor for the 2D Navier-Stokes
equations on some unbounded domains in the sense that the forcing term need not lie in …