Approximate inertial manifolds for nonlinear parabolic equations via steady-state determining mapping

DOI10.1155/S0161171295000019zbMath0864.35056OpenAlexW2126293308MaRDI QIDQ1345767

Yun-Cheng You

Publication date: 3 April 1995

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/47654

zbMATH Keywords

Burgers' equationspectral decompositionKuramoto-Sivashinsky equations2D Ginzburg-Landau equationssemilinear parabolic evolution equationthickness of the exponentially attracting neighborhood

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Nonlinear differential equations in abstract spaces (34G20) Initial value problems for linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25)

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Spectral barriers and inertial manifolds for time- discretized dissipative equations

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