Remarks on the existence of an inertial manifold

DOI10.4134/JKMS.j200565zbMath1489.37089OpenAlexW3199335295MaRDI QIDQ5162121

Xiuxiu Sun, Minkyu Kwak

Publication date: 1 November 2021

Full work available at URL: http://jkms.kms.or.kr/journal/view.html?doi=10.4134/JKMS.j200565

zbMATH Keywords

asymptotic behaviour of solutionsinfinite-dimensional dynamical systeminertial manifolds

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Navier-Stokes equations (35Q30) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Inertial manifolds (35B42) Inertial manifolds and other invariant attracting sets of infinite-dimensional dissipative dynamical systems (37L25)

Cites Work

• A finite dimensional property of a parabolic partial differential equation
• Inertial manifolds for nonlinear evolutionary equations
• Infinite-dimensional dynamical systems in mechanics and physics.
• Fourier parameterization of attractors for dissipative equations in one space dimension
• Admissibly inertial manifolds for a class of semi-linear evolution equations
• NEGATIVELY BOUNDED SOLUTIONS FOR A PARABOLIC PARTIAL DIFFERENTIAL EQUATION
• Fourier spanning dimension of attractors for two-dimensional navier-stokes equations
• Inertial manifolds and finite-dimensional reduction for dissipative PDEs
• Dynamics of evolutionary equations
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