Some generalizations of the Cahn–Hilliard equation

A Miranville - Asymptotic Analysis, 2000 - content.iospress.com
Our aim in this article is to discuss some questions related to the existence and uniqueness
of solutions and on the existence of finite dimensional attractors for Cahn–Hilliard type …

Long-time behavior of some models of Cahn–Hilliard equations in deformable continua

A Miranville - Nonlinear Analysis: Real World Applications, 2001 - Elsevier
The Cahn–Hilliard equation (see [4, 5]) is very central to material sciences. Indeed, this
equation, which is a conservation law (in the sense that the average of the order parameter …

Exponential attractors for a class of evolution equations by a decompoition method. II. The non-autonomous case

A Miranville - Comptes Rendus de l'Académie des Sciences-Series I …, 1999 - Elsevier
Exponential attractors for a class of evolution equations by a decompoition method. II. The
non-autonomous case Page 1 CR Acad. Sci. Paris, t. 328, SCrie I, p. 907-912, 1999 Systihmes …

Some models of Cahn-Hilliard equations in nonisotropic media

A Miranville - ESAIM: Mathematical Modelling and Numerical …, 2000 - cambridge.org
We derive in this article some models of Cahn-Hilliard equations in nonisotropic media.
These models, based on constitutive equations introduced by Gurtin in [19], take the work of …

[PDF][PDF] Глобальные аттракторы неавтономных динамических систем

ДН Чебан - Издательский центр Молдавского госуниверситета …, 2002 - researchgate.net
Первому направлению принадлежат работы, в которых содержатсÿ те или иные
условиÿ, обеспечивающие диссипативность системы (1), какого-то класса или …

Finite-Dimensional Attractors and Exponential Attractors for the Navier--Stokes Equations of Compressible Flow

D Hoff, M Ziane - SIAM journal on mathematical analysis, 2003 - SIAM
We prove that the uniform attractor for the Navier--Stokes equations of compressible flow
with quasi-periodic external forces has finite fractal dimension. As a byproduct of our …

[PDF][PDF] Глобальные аттракторы динамических систем

ДН Чебан - Дифференциальные уравнения и процессы …, 2003 - academia.edu
В настоящей статье дается обзор ряда работ, посвященных изучению компактных
глобальных аттракторов абстрактных диссипативных динамическим системам (как …