Reproducing kernel functions for the generalized Kuramoto-Sivashinsky equation
نویسندگان
چکیده
منابع مشابه
Exact Solutions of the Generalized Kuramoto-Sivashinsky Equation
In this paper we obtain exact solutions of the generalized Kuramoto-Sivashinsky equation, which describes manyphysical processes in motion of turbulence and other unstable process systems. The methods used to determine the exact solutions of the underlying equation are the Lie group analysis and the simplest equation method. The solutions obtained are then plotted.
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Copyright and Moral Rights for the articles on this site are retained by the individual authors and/or other copyright owners. For more information on Open Research Online's data policy on reuse of materials please consult the policies page. We study the emergence of pattern formation and chaotic dynamics in the one-dimensional (1D) generalized Kuramoto-Sivashinsky (gKS) equation by means of a ...
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A new theorem is applied to the Kuramoto-Sivashinsky equation with L-periodic boundary conditions, proving the existence of an asymptotically complete inertial manifold attracting all initial data. Combining this result with a new estimate of the size of the globally absorbing set yields an improved estimate of the dimension, N ∼ L.
متن کاملexact solutions of the generalized kuramoto-sivashinsky equation
in this paper we obtain exact solutions of the generalized kuramoto-sivashinsky equation, which describes manyphysical processes in motion of turbulence and other unstable process systems. the methods used to determine the exact solutions of the underlying equation are the lie group analysis and the simplest equation method. the solutions obtained are then plotted.
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ژورنال
عنوان ژورنال: ITM Web of Conferences
سال: 2018
ISSN: 2271-2097
DOI: 10.1051/itmconf/20182201028