Some properties of a class of abstract stationary equations |
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| Authors: | EJ Villamizar-Roa MA Rodríguez-Bellido MA Rojas-Medar |
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| Institution: | 1. Escuela de Matemáticas, Universidad Industrial de Santander, AA 678, Bucaramanga-Santander, Colombia;2. Departamento de Ecuaciones Diferenciales y Analisis Numerico, Facultad de Matemáticas, Universidad de Sevilla, Sevilla 41012, Spain;3. IMECC-UNICAMP, CP 6065, 13083-970 Campinas-SP, Brazil |
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| Abstract: | We study a class of abstract nonlinear equations in a separable Hilbert space for which we prove some generic properties of the set of solutions. The results apply, in particular, in several models of hydrodynamics, such as magneto-micropolar equations, micropolar fluid equations, Boussinesq and Navier–Stokes equations. |
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| Keywords: | Abstract nonlinear equations Stationary solutions Hydrodynamics |
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