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On the initial value problem for the Navier-Stokes equations with the initial datum in critical Sobolev and Besov spaces

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Publication:2814330
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zbMath1342.35220arXiv1601.01726MaRDI QIDQ2814330

D. Q. Khai, Nguyen Minh Tri

Publication date: 21 June 2016

Full work available at URL: https://arxiv.org/abs/1601.01726

zbMATH Keywords

Navier-Stokes equationsexistence and uniqueness of local and global mild solutionscritical Sobolev and Besov spaces


Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30)


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Well-posedness for the Navier-Stokes equations with data in homogeneous Sobolev-Lorentz spaces, Well-posedness for the Navier-Stokes equations with datum in the Sobolev spaces, Well-posedness for the Navier-Stokes equations with datum in Sobolev-Fourier-Lorentz spaces, A regularity criterion for the Navier-Stokes equation involving only the middle eigenvalue of the strain tensor, Time decay rates of the \(L^3\)-norm for strong solutions to the Navier-Stokes equations in \(\mathbb{R}^3\)



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