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Global solution of the 3D incompressible Navier-Stokes equations in the Besov spaces \(\dot{R}_{r_{1},r_{2},r_{3}}^{\sigma,1}\) - MaRDI portal

Global solution of the 3D incompressible Navier-Stokes equations in the Besov spaces \(\dot{R}_{r_{1},r_{2},r_{3}}^{\sigma,1}\) (Q2359005)

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Global solution of the 3D incompressible Navier-Stokes equations in the Besov spaces \(\dot{R}_{r_{1},r_{2},r_{3}}^{\sigma,1}\)
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    Global solution of the 3D incompressible Navier-Stokes equations in the Besov spaces \(\dot{R}_{r_{1},r_{2},r_{3}}^{\sigma,1}\) (English)
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    27 June 2017
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    The authors, using the Littlewood-Paley decomposition, define a more general (five-indices) Besov-type space. Then, they show global in time existence of solutions of the homogeneous Navier-Stokes system with small initial data.
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    Navier-Stokes system
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    Besov type spaces
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    Littlewood-Paley decomposition
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    rotation solution
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