A. V. Romanov, “Three counterexamples in the theory of inertial manifolds”, Mat. Zametki, 68:3 (2000), 439–447; Math. Notes, 68:3 (2000), 378

Matematicheskie Zametki

RUS ENG

JOURNALS PEOPLE ORGANISATIONS CONFERENCES SEMINARS VIDEO LIBRARY PACKAGE AMSBIB

JavaScript is disabled in your browser. Please switch it on to enable full functionality of the website

	General information
	Latest issue
	Forthcoming papers
	Archive
	Impact factor
	Guidelines for authors
	License agreement
	Submit a manuscript

	Search papers
	Search references

	RSS
	Latest issue
	Current issues
	Archive issues
	What is RSS

Mat. Zametki:
Year:
Volume:
Issue:
Page:
	Find

Personal entry:
Login:
Password:
	Save password
	Enter
	Forgotten password?
	Register

Matematicheskie Zametki, 2000, Volume 68, Issue 3, Pages 439–447
DOI: https://doi.org/10.4213/mzm961 (Mi mzm961)

This article is cited in 16 scientific papers (total in 16 papers)

Three counterexamples in the theory of inertial manifolds

A. V. Romanov

All-Russian Institute for Scientific and Technical Information of Russian Academy of Sciences

Full-text PDF (219 kB) Citations (16)

References:

PDF

HTML

DOI: https://doi.org/10.4213/mzm961

Received: 11.02.1999

English version:
Mathematical Notes, 2000, Volume 68, Issue 3, Pages 378–385
DOI: https://doi.org/10.1007/BF02674562

Bibliographic databases:

UDC: 517.95

Language: Russian

Citation: A. V. Romanov, “Three counterexamples in the theory of inertial manifolds”, Mat. Zametki, 68:3 (2000), 439–447; Math. Notes, 68:3 (2000), 378–385

Citation in format AMSBIB

\Bibitem{Rom00}

\by A.~V.~Romanov

\paper Three counterexamples in the theory of inertial manifolds

\jour Mat. Zametki

\yr 2000

\vol 68

\issue 3

\pages 439--447

\mathnet{http://mi.mathnet.ru/mzm961}

\crossref{https://doi.org/10.4213/mzm961}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1819147}

\zmath{https://zbmath.org/?q=an:0984.35034}

\elib{https://elibrary.ru/item.asp?id=13344701}

\transl

\jour Math. Notes

\yr 2000

\vol 68

\issue 3

\pages 378--385

\crossref{https://doi.org/10.1007/BF02674562}

\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000165571900013}

Linking options:

https://www.mathnet.ru/eng/mzm961

https://doi.org/10.4213/mzm961

https://www.mathnet.ru/eng/mzm/v68/i3/p439

This publication is cited in the following 16 articles:

Anna Kostianko, Sergey Zelik, “Smooth extensions for inertial manifolds of semilinear parabolic equations”, Analysis & PDE, 17:2 (2024), 499
Maximilian Engel, Felix Hummel, Christian Kuehn, Nikola Popović, Mariya Ptashnyk, Thomas Zacharis, “Geometric analysis of fast-slow PDEs with fold singularities via Galerkin discretisation”, Nonlinearity, 37:11 (2024), 115017
Russian Math. Surveys, 78:4 (2023), 635–777
Varga Kalantarov, Anna Kostianko, Sergey Zelik, “Determining functionals and finite-dimensional reduction for dissipative PDEs revisited”, Journal of Differential Equations, 345 (2023), 78
Kostianko A., Li X., Sun Ch., Zelik S., “Inertial Manifolds Via Spatial Averaging Revisited”, SIAM J. Math. Anal., 54:1 (2022), 268–305
Kostianko A., Zelik S., “Kwak Transform and Inertial Manifolds Revisited”, J. Dyn. Differ. Equ., 2021
Kwak M., Sun X., “Remarks on the Existence of An Inertial Manifold”, J. Korean. Math. Soc., 58:5 (2021), 1261–1277
Kostianko A., “Bi-Lipschitz Mane Projectors and Finite-Dimensional Reduction For Complex Ginzburg-Landau Equation”, Proc. R. Soc. A-Math. Phys. Eng. Sci., 476:2239 (2020), 20200144
Chepyzhov V.V., Kostianko A., Zelik S., “Inertial Manifolds For the Hyperbolic Relaxation of Semilinear Parabolic Equations”, Discrete Contin. Dyn. Syst.-Ser. B, 24:3, SI (2019), 1115–1142
Kostianko A. Zelik S., “Nertial Manifolds For 1D Reaction-Diffusion-Advection Systems. Part II: Periodic Boundary Conditions”, Commun. Pure Appl. Anal, 17:1 (2018), 285–317
Gal C.G., Guo Ya., “Inertial Manifolds For the Hyperviscous Navier-Stokes Equations”, J. Differ. Equ., 265:9 (2018), 4335–4374
Romanov A.V., “On the hyperbolicity properties of inertial manifolds of reaction–diffusion equations”, Dyn. Partial Differ. Equ., 13:3 (2016), 263–272
A. V. Romanov, “A Parabolic Equation with Nonlocal Diffusion without a Smooth Inertial Manifold”, Math. Notes, 96:4 (2014), 548–555
Zelik S., “Inertial Manifolds and Finite-Dimensional Reduction For Dissipative PDEs”, Proc. R. Soc. Edinb. Sect. A-Math., 144:6 (2014), 1245–1327
A. Eden, S. V. Zelik, V. K. Kalantarov, “Counterexamples to regularity of Mañé projections in the theory of attractors”, Russian Math. Surveys, 68:2 (2013), 199–226
A. V. Romanov, “Finite-dimensional dynamics on attractors of non-linear parabolic equations”, Izv. Math., 65:5 (2001), 977–1001

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Statistics & downloads:
Abstract page:	434
Full-text PDF :	208
References:	58
First page:	1

Что такое QR-код?

Registration to the website

Logotypes