A remark on the Liouville problem for stationary Navier-Stokes equations\n in Lorentz and Morrey spaces

2019/03/01 by Oscar Jarrín, Jarrin, Oscar
Mathematics · Engineering · #Advanced Mathematical Physics Problems #Navier-Stokes equation solutions #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.1903.00601

Abstract

The Liouville problem for the stationary Navier-Stokes equations on the whole\nspace is a challenging open problem who has know several recent contributions.\nWe prove here some Liouville type theorems for these equations provided the\nvelocity field belongs to some Lorentz spaces and then in the more general\nsetting of Morrey spaces. Our theorems correspond to a improvement of some\nrecent result on this problem and contain some well-known results as a\nparticular case.\n

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