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A non-autonomous scalar one-dimensional dissipative parabolic problem: the description of the dynamics


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Título :
A non-autonomous scalar one-dimensional dissipative parabolic problem: the description of the dynamics
Autor :
de Cássia D S Broche, Rita
Carvalho, Alexandre
Valero, José  
Editor :
IOP Publishing
Departamento:
Departamentos de la UMH::Estadística, Matemáticas e Informática
Fecha de publicación:
2019-10-30
URI :
https://hdl.handle.net/11000/32595
Resumen :
The purpose of this paper is to give a characterization of the structure of nonautonomous attractors of the problem ut = uxx + u 􀀀 (t)u3 when the parameter > 0 varies. Also, we answer a question proposed in [11], concerning the complete description of the structure of the pullback attractor of the problem when 1 < < 4 and, more generally, for ̸= N2, 2 N 2 N. We construct global bounded solutions , “non-autonomous equilibria”, connections between the trivial solution and these “non-autonomous equilibria” and characterize the -limit and !-limit set of global bounded solutions. As a consequence, we show that the global attractor of the associated skew-product flow has a gradient structure. The structure of the related pullback an uniform attractors are derived from that.
Área de conocimiento :
CDU: Ciencias puras y naturales: Matemáticas
Tipo documento :
application/pdf
Derechos de acceso:
info:eu-repo/semantics/openAccess
DOI :
https://doi.org/10.1088/1361-6544/ab3f55
Aparece en las colecciones:
Artículos Estadística, Matemáticas e Informática



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