Interpolation, extrapolation, Morrey spaces and local energy control for the Navier–Stokes equations

Banach Center Publications ◽

10.4064/bc119-16 ◽

2019 ◽

Vol 119 ◽

pp. 279-294 ◽

Cited By ~ 1

Author(s):

Pierre Gilles Lemarié-Rieusset

Keyword(s):

Stokes Equations ◽

Morrey Spaces ◽

Navier Stokes ◽

Local Energy ◽

Energy Control ◽

Navier Stokes Equations

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Leray's Self-Similar Solutions to the Navier--Stokes Equations with Profiles in Marcinkiewicz and Morrey Spaces

SIAM Journal on Mathematical Analysis ◽

10.1137/16m110099x ◽

2018 ◽

Vol 50 (1) ◽

pp. 541-556 ◽

Cited By ~ 3

Author(s):

Cristi Guevara ◽

Nguyen Cong Phuc

Keyword(s):

Stokes Equations ◽

Morrey Spaces ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Self Similar ◽

Parabolic Morrey spaces and mild solutions of the Navier–Stokes equations. An interesting answer through a silly method to a stupid question

Recent Progress in the Theory of the Euler and Navier–Stokes Equations ◽

10.1017/cbo9781316407103.008 ◽

2016 ◽

pp. 126-136

Author(s):

P.G. Lemarié-rieusset

Keyword(s):

Stokes Equations ◽

Mild Solutions ◽

Morrey Spaces ◽

Navier Stokes ◽

Navier Stokes Equations

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Weak Morrey spaces and strong solutions to the Navier-Stokes equations

Science in China Series A Mathematics ◽

10.1007/s11425-007-0101-9 ◽

2007 ◽

Vol 50 (10) ◽

pp. 1401-1417 ◽

Cited By ~ 9

Author(s):

Chang-xing Miao ◽

Bao-quan Yuan

Keyword(s):

Stokes Equations ◽

Strong Solutions ◽

Morrey Spaces ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Weak Morrey Spaces

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On the existence of the weak solution with local energy inequality to the 3-D inhomogeneous incompressible Navier–Stokes equations

Nonlinear Analysis ◽

10.1016/j.na.2013.03.004 ◽

2013 ◽

Vol 85 ◽

pp. 248-252

Author(s):

Mingwen Fei

Keyword(s):

Weak Solution ◽

Stokes Equations ◽

Energy Inequality ◽

Navier Stokes ◽

Local Energy ◽

Navier Stokes Equations

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Uniform well-posedness and stability for fractional Navier-Stokes equations with Coriolis force in critical Fourier-Besov-Morrey spaces

Open Journal of Mathematical Analysis ◽

10.30538/psrp-oma2019.0034 ◽

2019 ◽

Vol 3 (1) ◽

pp. 70-89 ◽

Cited By ~ 1

Author(s):

Azzeddine El Baraka ◽

◽

Mohamed Toumlilin ◽

Keyword(s):

Coriolis Force ◽

Stokes Equations ◽

Morrey Spaces ◽

Navier Stokes ◽

Well Posedness ◽

Navier Stokes Equations

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Local Energy Solutions to the Navier--Stokes Equations in Wiener Amalgam Spaces

SIAM Journal on Mathematical Analysis ◽

10.1137/20m1361420 ◽

2021 ◽

Vol 53 (2) ◽

pp. 1993-2026

Author(s):

Zachary Bradshaw ◽

Tai-Peng Tsai

Keyword(s):

Stokes Equations ◽

Navier Stokes ◽

Local Energy ◽

Navier Stokes Equations ◽

Wiener Amalgam Spaces ◽

Amalgam Spaces

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Homogeneous Statistical Solutions and Local Energy Inequality for 3D Navier-Stokes Equations

Communications in Mathematical Physics ◽

10.1007/s00220-006-0009-1 ◽

2006 ◽

Vol 266 (1) ◽

pp. 17-35 ◽

Cited By ~ 7

Author(s):

Arnaud Basson

Keyword(s):

Stokes Equations ◽

Energy Inequality ◽

Navier Stokes ◽

Local Energy ◽

Navier Stokes Equations ◽

Statistical Solutions

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Spatially homogeneous solutions of 3D stochastic Navier–Stokes equations and local energy inequality

Stochastic Processes and their Applications ◽

10.1016/j.spa.2007.05.001 ◽

2008 ◽

Vol 118 (3) ◽

pp. 417-451 ◽

Cited By ~ 3

Author(s):

Arnaud Basson

Keyword(s):

Stokes Equations ◽

Energy Inequality ◽

Navier Stokes ◽

Local Energy ◽

Navier Stokes Equations ◽

Homogeneous Solutions ◽

Spatially Homogeneous

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Some Liouville theorems for stationary Navier-Stokes equations in Lebesgue and Morrey spaces

Annales de l Institut Henri Poincaré C Analyse non linéaire ◽

10.1016/j.anihpc.2020.08.006 ◽

2020 ◽

Author(s):

Diego Chamorro ◽

Oscar Jarrín ◽

Pierre-Gilles Lemarié-Rieusset

Keyword(s):

Stokes Equations ◽

Morrey Spaces ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Liouville Theorems ◽

Stationary Navier Stokes Equations

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Discretely self-similar solutions to the Navier–Stokes equations with data in Lloc2 satisfying the local energy inequality

Analysis & PDE ◽

10.2140/apde.2019.12.1943 ◽

2019 ◽

Vol 12 (8) ◽

pp. 1943-1962 ◽

Cited By ~ 1

Author(s):

Zachary Bradshaw ◽

Tai-Peng Tsai

Keyword(s):

Stokes Equations ◽

Energy Inequality ◽

Navier Stokes ◽

Local Energy ◽

Navier Stokes Equations ◽

Self Similar ◽