Regularity of the Inertial Manifolds for Evolution Equations in Admissible Spaces and Finite-Dimensional Feedback Controllers
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Dynamical and Control Systems"
DOI: 10.1007/s10883-021-09538-1
Abstract: Our main aims in this paper are to investigate the regularity of inertial manifolds for non-autonomous semi-linear evolution equations and to give an application of inertial manifolds to a feedback control problem. We first prove… read more here.
Keywords: evolution equations; regularity inertial; equations admissible; manifolds evolution ... See more keywords
Admissible inertial manifolds for neutral equations and applications
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DOI: 10.1080/14689367.2021.1971623
Abstract: We study the existence of admissible inertial manifolds for parabolic neutral functional differential equations of the form where the linear differential operator A is positive definite and self-adjoint with a discrete spectrum, the difference operator… read more here.
Keywords: inertial manifolds; admissible inertial; neutral equations; manifolds neutral ... See more keywords
Inertial manifolds for functional differential equations with infinite delay
Sign Up to like & getrecommendations! Published in 2021 at "Asian-european Journal of Mathematics"
DOI: 10.1142/s1793557122500450
Abstract: In this paper, we consider a class of functional differential equations with infinite delay in a real separable Hilbert space. By using the Lyapunov–Perron method, we prove the existence of inertial manifolds for mild solutions.… read more here.
Keywords: functional differential; equations infinite; infinite delay; differential equations ... See more keywords
Inertial manifolds for 1D reaction-diffusion-advection systems. Part II: periodic boundary conditions
Sign Up to like & getrecommendations! Published in 2017 at "Communications on Pure and Applied Analysis"
DOI: 10.3934/cpaa.2018017
Abstract: This is the second part of our study of the Inertial Manifolds for 1D systems of reaction-diffusion-advection equations initiated in [ 6 ] and it is devoted to the case of periodic boundary conditions. It… read more here.
Keywords: inertial manifolds; part; boundary conditions; diffusion advection ... See more keywords