Finite-Dimensional Reduction of Systems of Nonlinear Diffusion Equations
نویسندگان
چکیده
We present a class of one-dimensional systems nonlinear parabolic equations for which the phase dynamics at large time can be described by an ODE with Lipschitz vector field in $$\mathbb R^n$$ . In considered case Dirichlet boundary value problem, sufficient conditions finite-dimensional reduction turn out to much wider than known this kind periodic situation.
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ژورنال
عنوان ژورنال: Mathematical Notes
سال: 2023
ISSN: ['1573-8876', '0001-4346', '1067-9073']
DOI: https://doi.org/10.1134/s0001434623010297