Manoel J. Dos Santos ; Renato F. C. Lobato
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Upper semicontinuity of the attractor for a nonlinear
hyperbolic-parabolic coupled system with fractional Laplacian
cm:11749 -
Communications in Mathematics,
February 7, 2024,
Volume 32 (2024), Issue 1
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https://doi.org/10.46298/cm.11749Upper semicontinuity of the attractor for a nonlinear
hyperbolic-parabolic coupled system with fractional LaplacianArticle
Authors: Manoel J. Dos Santos ; Renato F. C. Lobato
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Manoel J. Dos Santos;Renato F. C. Lobato
In this paper we establish the existence and uniqueness of global solutions (in time), as well as the existence, regularity and stability (upper semicontinuity) of the attractor for the semigroup generated by the solutions of a two-dimensional nonlinear hyperbolic-parabolic coupled system with fractional Laplacian. In addition, we also obtain the existence of an exponential attractor and show that this attractor has a finite fractal dimension in a space containing the phase space of the dynamical system.
Volume: Volume 32 (2024), Issue 1
Published on: February 7, 2024
Accepted on: December 5, 2023
Submitted on: August 21, 2023
Keywords: Mathematics - Dynamical Systems, 35B40, 35B41, 37L30