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

Zachary Bradshaw; Tai-Peng Tsai

doi:10.1137/20m1361420

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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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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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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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 ◽

Weak solutions to the Cauchy problem for the Navier-Stokes equations satisfying the local energy inequality

Nonlinear Equations and Spectral Theory - American Mathematical Society Translations: Series 2 ◽

10.1090/trans2/220/07 ◽

2007 ◽

pp. 141-164 ◽

Cited By ~ 17

Author(s):

N. Kikuchi ◽

G. Seregin

Keyword(s):

Cauchy Problem ◽

Weak Solutions ◽

Stokes Equations ◽

Energy Inequality ◽

Navier Stokes ◽

Local Energy ◽

Navier Stokes Equations ◽

The Cauchy Problem

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On Leray's Self-Similar Solutions of the Navier-Stokes Equations Satisfying Local Energy Estimates

Archive for Rational Mechanics and Analysis ◽

10.1007/s002050050099 ◽

1998 ◽

Vol 143 (1) ◽

pp. 29-51 ◽

Cited By ~ 93

Author(s):

Tai-Peng Tsai

Keyword(s):

Stokes Equations ◽

Energy Estimates ◽

Navier Stokes ◽

Local Energy ◽

Navier Stokes Equations ◽

Self Similar ◽

Local Energy Estimates ◽

Local Energy Weak Solutions for the Navier–Stokes Equations in the Half-Space

Communications in Mathematical Physics ◽

10.1007/s00220-019-03344-4 ◽

2019 ◽

Vol 367 (2) ◽

pp. 517-580 ◽

Cited By ~ 6

Author(s):

Yasunori Maekawa ◽

Hideyuki Miura ◽

Christophe Prange

Keyword(s):

Half Space ◽

Weak Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Local Energy ◽

Navier Stokes Equations

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Local regularity conditions on initial data for local energy solutions of the Navier–Stokes equations

SN Partial Differential Equations and Applications ◽

10.1007/s42985-021-00127-2 ◽

2021 ◽

Vol 3 (1) ◽

Author(s):

Kyungkeun Kang ◽

Hideyuki Miura ◽

Tai-Peng Tsai

Keyword(s):

Initial Data ◽

Stokes Equations ◽

Local Regularity ◽

Navier Stokes ◽

Regularity Conditions ◽

Local Energy ◽

Navier Stokes Equations

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Global existence of a uniformly local energy solution for the incompressible fractional Navier–Stokes equations

Colloquium Mathematicum ◽

10.4064/cm7997-10-2019 ◽

2020 ◽

Vol 160 (1) ◽

pp. 7-40 ◽

Cited By ~ 1

Author(s):

Jingyue Li

Keyword(s):

Global Existence ◽

Stokes Equations ◽

Energy Solution ◽

Navier Stokes ◽

Local Energy ◽

Navier Stokes Equations

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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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