Persistence of invariant sets for dissipative evolution equations Academic Article

abstract

• We show that results concerning the persistence of invariant sets of ordinary differential equations under perturbation may be applied directly to a certain class of partial differential equations. Our framework is particularly well-suited to encompass numerical approximations of these partial differential equations. Specifically, we show that for a class of PDEs with aC1inertial form, certain natural numerical approximations possess an inertial form close to that of the underlying PDE in theC1norm. 1998 Academic Press.

authors

• Titi, Edriss

published proceedings

• JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

author list (cited authors)

• Jones, D. A., Stuart, A. M., & Titi, E. S.

citation count

• 13

complete list of authors

• Jones, DA||Stuart, AM||Titi, ES

publication date

• March 1998

publisher

• Elsevier  Publisher

published in

• Journal of Mathematical Analysis and Applications  Journal

Digital Object Identifier (DOI)

• 10.1006/jmaa.1997.5847

start page

• 479

end page

• 502

volume

• 219

issue

• 2

URL

• http://dx.doi.org/10.1006/jmaa.1997.5847