Semi‐strong and strong solutions for variable density asymmetric fluids in unbounded domains |
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| Authors: | Pablo Braz e Silva Felipe W. Cruz Marko A. Rojas‐Medar |
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| Affiliation: | 1. Departamento de Matemática, Universidade Federal de Pernambuco, Recife, Pernambuco, Brazil;2. Instituto de Alta Investigación, Universidad de Tarapacá, Arica, Chile |
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| Abstract: | We establish the existence of local in time semi‐strong solutions and global in time strong solutions for the system of equations describing flows of viscous and incompressible asymmetric fluids with variable density in general three‐dimensional domains with boundary uniformly of class C3. Under suitable assumptions, uniqueness of local semi‐strong solutions is also proved. Copyright © 2016 John Wiley & Sons, Ltd. |
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| Keywords: | asymmetric fluids semi‐Galerkin approximations semi‐strong solutions strong solutions regularity theory subclass 35Q30 76D03 35Q35 |
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