[图书][B] The Navier-Stokes problem in the 21st century

PG Lemarié-Rieusset - 2018 - taylorfrancis.com
Up-to-Date Coverage of the Navier–Stokes Equation from an Expert in Harmonic Analysis
The complete resolution of the Navier–Stokes equation—one of the Clay Millennium Prize …

Harmonic analysis tools for solving the incompressible Navier–Stokes equations

M Cannone - Handbook of mathematical fluid dynamics, 2005 - Elsevier
Formulated and intensively studied at the beginning of the nineteenth century, the classical
partial differential equations of mathematical physics represent the foundation of our …

Global well-posedness for the micropolar fluid system in critical Besov spaces

Q Chen, C Miao - Journal of Differential Equations, 2012 - Elsevier
We prove the global well-posedness for the 3-D micropolar fluid system in the critical Besov
spaces by making a suitable transformation of the solutions and using the Fourier …

The Navier–Stokes equations in the critical Morrey–Campanato space

PG Lemarié-Rieusset - Revista Matemática Iberoamericana, 2007 - ems.press
The Navier–Stokes equations in the critical Morrey–Campanato space Page 1 Rev. Mat.
Iberoamericana 23 (2007), no. 3, 897–930 The Navier–Stokes equations in the critical …

On dispersive effect of the Coriolis force for the stationary Navier–Stokes equations

P Konieczny, T Yoneda - Journal of Differential Equations, 2011 - Elsevier
The dispersive effect of the Coriolis force for the stationary and non-stationary Navier–
Stokes equations is investigated. Existence of a unique solution is shown for arbitrary large …

Global regular and singular solutions for a model of gravitating particles

P Biler, M Cannone, IA Guerra, G Karch - Mathematische Annalen, 2004 - Springer
The existence of solutions of a nonlinear parabolic equation describing the gravitational
interaction of particles is studied for the initial data in spaces of (generalized) …

Time-periodic solutions to the Navier-Stokes equations

GP Galdi, M Kyed - … analysis in mechanics of viscous fluids, 2018 - waseda.elsevierpure.com
抄録 The Navier-Stokes equations with time-periodic data are investigated with respect to
solutions of the same period. In the physical terms, such a system models the flow of a …

[HTML][HTML] On a bilinear estimate in weak-Morrey spaces and uniqueness for Navier–Stokes equations

LCF Ferreira - Journal de Mathématiques Pures et Appliquées, 2016 - Elsevier
This paper is concerned with the continuity of the bilinear term B associated with the mild
formulation of the Navier–Stokes equations. We provide a new proof for the continuity of B in …

The drift–diffusion system in two-dimensional critical Hardy space

T Ogawa, S Shimizu - Journal of Functional Analysis, 2008 - Elsevier
We establish the time local well-posedness for large data of a solution to two-dimensional
drift–diffusion system in the critical Hardy space H1 (R2). This solution is obtained in the …

On Landau's solutions of the Navier-Stokes equations

V Sverak - Journal of Mathematical Sciences, 2011 - go.gale.com
On landau's solutions of the Navier-stokes equations - Document - Gale Academic OneFile
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