Artículo
Dynamics of wave equations with moving boundary
Autor/es | Ma, To Fu
Marín Rubio, Pedro Surco Chuño, Christian Manuel |
Departamento | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Fecha de publicación | 2017-03-05 |
Fecha de depósito | 2019-03-12 |
Publicado en |
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Resumen | This paper is concerned with long-time dynamics of weakly damped semilinear wave equations defined on domains with moving boundary. Since the boundary is a function of the time variable the problem is intrinsically ... This paper is concerned with long-time dynamics of weakly damped semilinear wave equations defined on domains with moving boundary. Since the boundary is a function of the time variable the problem is intrinsically non-autonomous. Under the hypothesis that the lateral boundary is time-like, the solution operator of the problem generates an evolution process U(t, τ ) : Xτ → Xt, where Xt are timedependent Sobolev spaces. Then, by assuming the domains are expanding, we establish the existence of minimal pullback attractors with respect to a universe of tempered sets defined by the forcing terms. Our assumptions allow nonlinear perturbations with critical growth and unbounded time-dependent external forces. |
Identificador del proyecto | 310041/2015-5
PHB2010-0002-PC MTM2015-63723-P |
Cita | Ma, T.F., Marín Rubio, P. y Surco Chuño, C.M. (2017). Dynamics of wave equations with moving boundary. Journal of Differential Equations, 262 (5), 3317-3342. |
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