A C^{n,ε}-smooth extension of the inertial manifold for the Burgers equation is established via a new abstract framework separating two types of nonlinear terms, allowing long-time dynamics to be captured by explicit smooth ODEs.
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Smoothness of Inertial Manifold for the Burgers Equation
A C^{n,ε}-smooth extension of the inertial manifold for the Burgers equation is established via a new abstract framework separating two types of nonlinear terms, allowing long-time dynamics to be captured by explicit smooth ODEs.