TY - JOUR
T1 - Approximate Inertial Manifolds of Strongly Damped Nonlinear Wave Equations
JO - Journal of Partial Differential Equations
VL - 1
SP - 55
EP - 62
PY - 1999
DA - 1999/12
SN - 12
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5524.html
KW - Approximate inertial manifolds
KW - strong damping
KW - nonlinear wave equation
AB -  In this paper we consider a class of strongly damped nonlinear wave equations. By the transformation of unknown functions and decomposition of operators, we construct a family of approximate inertial manifolds, and obtain the estimate of orders of approximation of such manifolds to solution orbits.