Abstract
<abstract><p>We consider the class of dissipative reaction-diffusion-convection systems on the circle and obtain conditions under which the final (at large times) phase dynamics of a system can be described by an ODE with Lipschitz vector field in $ \mathbb{R}^{N} $. Precisely in this class, the first example of a parabolic problem of mathematical physics without the indicated property was recently constructed.</p></abstract>
Publisher
American Institute of Mathematical Sciences (AIMS)
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