Artículo
Statistical solutions and Kolmogorov entropy for the lattice long-wave-short-wave resonance equations in weighted space
Autor/es | Zou, Tianfang
Zhao, Caidi Caraballo Garrido, Tomás |
Departamento | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Fecha de publicación | 2023-04-25 |
Fecha de depósito | 2023-11-06 |
Publicado en |
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Resumen | This article studies the lattice long-wave-short-wave resonance equations in weighted spaces.
The authors first prove the global well-posedness of the initial value problem and the existence of
the pullback attractor for ... This article studies the lattice long-wave-short-wave resonance equations in weighted spaces. The authors first prove the global well-posedness of the initial value problem and the existence of the pullback attractor for the process generated by the solution mappings in the weighted space. Then they establish that the process possesses a family of invariant Borel probability measures supported by the pullback attractor. Afterwards, they verify that this family of Borel probability measures satisfies the Liouville theorem and is a statistical solution of the lattice long-wave-shortwave resonance equations. Finally, they prove an upper bound of the Kolmogorov entropy of the statistical solution |
Cita | Zou, T., Zhao, C. y Caraballo Garrido, T. (2023). Statistical solutions and Kolmogorov entropy for the lattice long-wave-short-wave resonance equations in weighted space. Communications in Nonlinear Science and Numerical Simulation, 127 (diciembre), 107516-1. https://doi.org/10.1016/j.cnsns.2023.107516. |
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