Invariant Manifolds. Global Attractor of a Generalized Version of the Nonlocal Ginzburg–Landau Equation
نویسندگان
چکیده
We consider a generalized nonlocal Ginzburg–Landau equation with periodic boundary conditions. For the corresponding initial-boundary value problem we prove existence of solution for all positive values evolution variable. study and properties invariant manifolds. extract class manifolds union which forms global attractor. describe structure attractor find Euclidean dimension its components. In metric space initial conditions, also Lyapunov stability orbital solutions that belong in
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ژورنال
عنوان ژورنال: Journal of Mathematical Sciences
سال: 2023
ISSN: ['1072-3374', '1573-8795']
DOI: https://doi.org/10.1007/s10958-023-06381-6