Mathematical theory of incompressible flows: local existence, uniqueness, blow-up and asymptotic behavior of solutions in Sobolev-Gevrey and Lei-Lin spaces
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Universidade Federal de Minas Gerais
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Tese de doutorado
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This research project has as main objective to generalize and improve recently developed
methods to establish existence, uniqueness and blow-up criteria of local solutions in time
for the Navier-Stokes equations involving Sobolev-Gevrey and Lei-Lin spaces; as well as
assuming the existence of a global solution in time for this same system, present decay rates
of these solutions in these spaces.
Abstract
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Navier-Stokes, Equações, Sobolev, Espaço de
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Navier-Stokes equations, Local existence, Blow-up criteria, Decay rates, Sobolev- Gevrey spaces, Lei-Lin spaces