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Periodic solutions in unbounded domains for the Boussinesq system |
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| Authors: | Elder Jesús Villamizar-Roa María Ángeles Rodríguez-Bellido Marko Antonio Rojas-Medar |
| Affiliation: | 1. Escuela de Matemáticas, Universidad Nacional de Colombia, Sede Medellín A. A. 3840, Medellín, Colombia 2. Dpto. Ecuaciones Diferenciales y Análisis Numérico, Universidad de Sevilla, Aptdo. 1160-41080, Sevilla, Spain 3. Dpto. de Ciencias Básicas, Facultad de Ciencias, Universidad del Bío Bío, Campus Fernando May, Casilla 447, Chillán, Chile |
| Abstract: | Assuming that the external forces of the system are small enough, the reference temperature being a periodic function, we study the existence, the uniqueness and the regularity of time-periodic solutions for the Boussinesq equations in several classes of unbounded domains of ℝ n . Our analysis is based on the framework of weak-L p spaces. |
| Keywords: | Boussinesq equations strong periodic solutions unbounded domains |
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