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arXiv · 1911.00698

Kwak Transform and Inertial Manifolds revisited

Anna Kostianko·Sergey Zelik
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Abstract

The paper gives sharp spectral gap conditions for existence of inertial manifolds for abstract semilinear parabolic equations with non-self-adjoint leading part. Main attention is paid to the case where this leading part have Jordan cells which appear after applying the so-called Kwak transform to various important equations such as 2D Navier-Stokes equations, reaction-diffusion-advection systems, etc. The different forms of Kwak transforms and relations between them are also discussed.

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Anna Kostianko, Sergey Zelik. 2019-11-02. Kwak Transform and Inertial Manifolds revisited. https://arxiv.org/abs/1911.00698

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