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Strong solutions for the nonhomogeneous Navier–Stokes equations in unbounded domains |
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| Authors: | P. Braz e Silva M. A. Rojas‐Medar E. J. Villamizar‐Roa |
| Affiliation: | 1. Departamento de Matemítica, Universidade Federal de Pernambuco, CEP 50740‐540 Recife, PE, Brazil;2. Departamento de Ciencias Bísicas, Universidad del Bío‐Bío, Casilla 447, Chillín, Chile;3. Escuela de Matemíticas, Universidad Nacional de Colombia, A.A. 3840, Medellín, Colombia |
| Abstract: | We show the existence of strong solutions for the nonhomogeneous Navier–Stokes equations in three‐dimensional domains with boundary uniformly of class C3. Under suitable assumptions, uniqueness is also proved. Copyright © 2009 John Wiley & Sons, Ltd. |
| Keywords: | Stokes and Navier– Stokes equations existence uniqueness regularity theory |