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Existence, uniqueness and smoothness of solution for 3D Navier-Stokes equations with any smooth initial velocity

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Publication:5409344
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zbMath1288.35378arXiv1201.1609MaRDI QIDQ5409344

Mikhail Tsionskiy, Arkadiy Tsionskiy

Publication date: 14 April 2014

Full work available at URL: https://arxiv.org/abs/1201.1609


zbMATH Keywords

Fourier transformLaplace transform3D Navier-Stokes equationsfixed point principle


Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations for incompressible viscous fluids (76D05) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Navier-Stokes equations (35Q30) Laplace transform (44A10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Euler equations (35Q31) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)








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