Existence of weak solutions for the Navier-Stokes equations with initial data in LP. Addendum

Calixto P. Calderón

Type: Article

Publication Date: 1990-01-01

Citations: 88

Locations

Transactions of the American Mathematical Society - View

Similar Works

Action	Title	Year	Authors
+	Addendum to the Paper Ëxistence of Weak Solutions for the Navier-Stokes Equations with Initial Data in L p "	1990	Calixto P. Calderón
+	Existence of Weak Solutions for the Navier-Stokes Equations with Initial Data in L p	1990	Calixto P. Calderón
+	The Global Existence of Weak Solutions for the Navier-Stokes Equations with Initial Data in L~q(R~n)	2008	Henggeng Wang
+	Weak Solutions for the Navier-Stokes Equations for ${B}^{-1(ln)}_{\infty\infty}+{B}_{\dot{X}_r}^{-1+r,\frac{2}{1-r}}+L^2$ Initial Data	2010	Shangbin Cui
+ PDF Chat	Existence of weak solutions for the Navier-Stokes equations with initial data in 𝐿^{𝑝}	1990	Calixto P. Calderón
+ PDF Chat	On global weak solutions to the Cauchy problem for the Navier–Stokes equations with large <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:msub><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub></mml:math>-initial data	2016	G. Serëgin Vladimír Šverák
+	On global weak solutions to the Cauchy problem for the Navier-Stokes equations with large $L_3$-initial data	2016	G. Serëgin Vladimír Šverák
+	Existence of local suitable weak solutions to the Navier-Stokes equations for initial data in $L^{2}_{\rm loc} (\mathbb{R}^3)$	2022	Dongho Chae Joerg Wof
+ PDF Chat	Addendum to the paper: “Existence of weak solutions for the Navier-Stokes equations with initial data in 𝐿^{𝑝}” [Trans. Amer. Math. Soc. 318 (1990), no. 1, 179–200; MR0968416 (90k:35199)]	1990	Calixto P. Calderón
+	The Navier-Stokes equations with the Neumann boundary condition in an infinite cylinder	2018	Ken Abe
+	On the existence of solutions for the Navier-Stokes system in a sum of weak-$L^{p}$ spaces	2010	Lucas C. F. Ferreira Élder J. Villamizar‐Roa
+	Weak Solutions to the Navier–Stokes Equations with Data in $$\mathbb {L}(3,\infty )$$ L ( 3 , ∞ )	2017	Paolo Maremonti
+ PDF Chat	Weak solutions for Navier--Stokes equations with initial data in weighted $L^2$ spaces.	2019	Pedro Gabriel Fernández-Dalgo Pierre Gilles Lemarié–Rieusset
+	Existence globale de solutions d'energie infinie de l'equation de Navier-Stokes 2D	2004	Pierre Germain
+ PDF Chat	Global existence for 1D, compressible, isentropic Navier-Stokes equations with large initial data	1987	David Hoff
+	Analyticity for the (generalized) Navier-Stokes equations with rough initial data	2013	Chunyan Huang Baoxiang Wang
+	The continuous dependence for the Navier-Stokes equations in $\dot{B}^{\frac{d}{p}-1}_{p,r}$	2020	Weikui Ye Zhaoyang Yin Wei Luo
+	The initial value problem for the Navier-Stokes equations with data in Lp	1972	Eugene B. Fabes B. Frank Jones N. M. Rivière
+	Weak solutions for the Navier-Stokes equations with $B^{-1(\ln )}_{\infty \infty }+B_{X_r}^{-1+r,\frac{2}{1-r}}+L^2$B∞∞−1(ln)+BXr−1+r,21−r+L2 initial data	2013	Shangbin Cui
+	Global existence of solutions to 2-D Navier–Stokes flow with non-decaying initial data in half-plane	2018	Paolo Maremonti Senjo Shimizu

Works That Cite This (86)

Action	Title	Year	Authors
+	Random-data Cauchy Problem for the Periodic Navier-Stokes Equations with Initial Data in Negative-order Sobolev Spaces	2011	Chao Deng Shangbin Cui
+	$L^2$-asymptotic stability of mild solutions to Navier-Stokes system in $R^3$	2013	Grzegorz Karch Dominika Pilarczyk María E. Schonbek
+	Quantitative bounds for critically bounded solutions to the Navier-Stokes equations	2019	Terence Tao
+ PDF Chat	Axisymmetric flows in the exterior of a cylinder	2019	Ken Abe G. Serëgin
+	On global solutions to the Navier-Stokes system with large $L^{3,\infty}$ initial data	2016	Tobias Barker G. Serëgin
+	Existence and Weak* Stability for the Navier-Stokes System with Initial Values in Critical Besov Spaces	2017	Tobias Barker
+	Global well-posedness of the 3-dimensional Navier-Stokes initial value problem in $L^p\cap L^2$ with $3	2012	Shangbin Cui
+	Global Navier-Stokes flows for non-decaying initial data with slowly decaying oscillation	2018	Hyunju Kwon Tai‐Peng Tsai
+	Global existence, regularity, and uniqueness of infinite energy solutions to the Navier-Stokes equations	2019	Zachary Bradshaw Tai‐Peng Tsai
+	On solutions to Navier-Stokes equations in critical spaces.	2010	Walter Rusin

Works Cited by This (6)

Action	Title	Year	Authors
+	Singular Integrals and Differentiability Properties of Functions.	1971	Elias M. Stein
+	Un teorema di unicità per le equazioni di Navier-Stokes	1959	G. A. Prodi
+	The space LP, with mixed norm	1961	A. Benedek R. Panzone
+	The Navier-Stokes initial value problem in Lp	1980	Fred B. Weissler
+	The initial value problem for the Navier-Stokes equations with data in Lp	1972	Eugene B. Fabes B. Frank Jones N. M. Rivière
+ PDF Chat	Singular integrals with mixed homogeneity	1966	Eugene B. Fabes N. M. Rivière