Global solvability of the Cauchy problem for the Navier–Stokes equation in $$\mathbb {R}^3$$ for some class of initial data

Mathematische Zeitschrift ◽

10.1007/s00209-007-0275-4 ◽

2007 ◽

Vol 260 (2) ◽

pp. 305-327

Author(s):

K. Pileckas ◽

W. M. Zaja̧czkowski

Keyword(s):

Cauchy Problem ◽

Initial Data ◽

Stokes Equation ◽

Global Solvability ◽

Navier Stokes ◽

Navier Stokes Equation ◽

The Cauchy Problem

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Global Estimation of the Cauchy Problem Solutions’ the Navier-Stokes Equation

Journal of Applied Mathematics and Physics ◽

10.4236/jamp.2014.24003 ◽

2014 ◽

Vol 02 (04) ◽

pp. 17-25 ◽

Author(s):

A. A. Durmagambetov ◽

L. S. Fazilova

Keyword(s):

Cauchy Problem ◽

Stokes Equation ◽

Navier Stokes ◽

Navier Stokes Equation ◽

Global Estimation ◽

The Cauchy Problem

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Global 1 Estimation of the Cauchy Problem Solutions to the Navier-Stokes Equation

Applied Mathematics ◽

10.4236/am.2014.513184 ◽

2014 ◽

Vol 05 (13) ◽

pp. 1903-1912

Author(s):

Asset Durmagambetov ◽

Leyla Fazilova

Keyword(s):

Cauchy Problem ◽

Stokes Equation ◽

Navier Stokes ◽

Navier Stokes Equation ◽

The Cauchy Problem

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Global Estimation of the Cauchy Problem Solutions’ Fourier Transform Derivatives for the Navier-Stokes Equation

International Journal of Modern Nonlinear Theory and Application ◽

10.4236/ijmnta.2013.24033 ◽

2013 ◽

Vol 02 (04) ◽

pp. 232-234 ◽

Author(s):

Asset A. Durmagambetov ◽

Leyla S. Fazylova

Keyword(s):

Cauchy Problem ◽

Fourier Transform ◽

Stokes Equation ◽

Navier Stokes ◽

Navier Stokes Equation ◽

Global Estimation ◽

The Cauchy Problem

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On global weak solutions to the Cauchy problem for the Navier–Stokes equations with largeL3-initial data

Nonlinear Analysis ◽

10.1016/j.na.2016.01.018 ◽

2017 ◽

Vol 154 ◽

pp. 269-296 ◽

Author(s):

G. Seregin ◽

V. Šverák

Keyword(s):

Cauchy Problem ◽

Initial Data ◽

Weak Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Global Weak Solutions ◽

Navier Stokes Equations ◽

The Cauchy Problem

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On the 2D Navier-Stokes equation with singular initial data and forcing term

Revista Matemática Contemporânea ◽

10.21711/231766361996/rmc101 ◽

1996 ◽

Vol 10 (1) ◽

Author(s):

Hebe Biagioni ◽

Todor Gramchev

Keyword(s):

Initial Data ◽

Stokes Equation ◽

Navier Stokes ◽

Navier Stokes Equation ◽

Forcing Term ◽

Singular Initial Data

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The generalized Burgers’ equation and the Navier-Stokes equation in ${\bf R}\sp n$ with singular initial data

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-1987-0897066-5 ◽

1987 ◽

Vol 101 (1) ◽

pp. 29-29

Author(s):

Joel D. Avrin

Keyword(s):

Initial Data ◽

Stokes Equation ◽

Burgers Equation ◽

Navier Stokes ◽

Navier Stokes Equation ◽

Generalized Burgers Equation ◽

Singular Initial Data

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Global well-posedness of the Cauchy problem for the Navier-Stokes equations of nonisentropic flow with discontinuous initial data

Journal of Differential Equations ◽

10.1016/0022-0396(92)90042-l ◽

1992 ◽

Vol 95 (1) ◽

pp. 33-74 ◽

Author(s):

David Hoff

Keyword(s):

Cauchy Problem ◽

Initial Data ◽

Stokes Equations ◽

Navier Stokes ◽

Well Posedness ◽

Navier Stokes Equations ◽

Discontinuous Initial Data ◽

The Cauchy Problem

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Chapter 10. The Cauchy Problem for the Navier-Stokes Equations with Spatially Almost Periodic Initial Data

Mathematical Aspects of Nonlinear Dispersive Equations (AM-163) ◽

10.1515/9781400827794.213 ◽

2009 ◽

pp. 213-222 ◽

Keyword(s):

Cauchy Problem ◽

Initial Data ◽

Stokes Equations ◽

Navier Stokes ◽

Almost Periodic ◽

Navier Stokes Equations ◽

The Cauchy Problem ◽

Periodic Initial Data

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Global classical solution of the Cauchy problem to 1D compressible Navier–Stokes equations with large initial data

Journal of Differential Equations ◽

10.1016/j.jde.2014.03.014 ◽

2014 ◽

Vol 257 (2) ◽

pp. 311-350 ◽

Author(s):

Quansen Jiu ◽

Mingjie Li ◽

Yulin Ye

Keyword(s):

Cauchy Problem ◽

Initial Data ◽

Classical Solution ◽

Stokes Equations ◽

Navier Stokes ◽

Global Classical Solution ◽

Large Initial Data ◽

Navier Stokes Equations ◽

The Cauchy Problem

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Singular initial data and uniform global bounds for the hyper-viscous Navier–Stokes equation with periodic boundary conditions

Journal of Differential Equations ◽

10.1016/s0022-0396(02)00155-9 ◽

2003 ◽

Vol 190 (1) ◽

pp. 330-351 ◽

Author(s):

Joel Avrin

Keyword(s):

Initial Data ◽

Boundary Conditions ◽

Stokes Equation ◽

Periodic Boundary ◽

Periodic Boundary Conditions ◽

Navier Stokes ◽

Navier Stokes Equation ◽

Singular Initial Data

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