On the Navier-Stokes initial value problem. I

Hiroshi Fujita; Tosio Kato

doi:10.1007/bf00276188

On the Navier-Stokes initial value problem. I

Archive for Rational Mechanics and Analysis ◽

10.1007/bf00276188 ◽

1964 ◽

Vol 16 (4) ◽

pp. 269-315 ◽

Cited By ~ 632

Author(s):

Hiroshi Fujita ◽

Tosio Kato

Keyword(s):

Initial Value Problem ◽

Navier Stokes ◽

Initial Value

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The initial value problem for the compressible Navier-Stokes equations without heat conductivity

Journal of Differential Equations ◽

10.1016/j.jde.2019.11.025 ◽

2020 ◽

Vol 268 (9) ◽

pp. 5469-5490 ◽

Cited By ~ 1

Author(s):

Qing Chen ◽

Zhong Tan ◽

Guochun Wu ◽

Weiyuan Zou

Keyword(s):

Heat Conductivity ◽

Initial Value Problem ◽

Stokes Equations ◽

Navier Stokes ◽

Initial Value ◽

Navier Stokes Equations

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The regularity of the Stokes operator and the Fujita–Kato approach to the Navier–Stokes initial value problem in Lipschitz domains

Journal of Functional Analysis ◽

10.1016/j.jfa.2007.11.021 ◽

2008 ◽

Vol 254 (6) ◽

pp. 1522-1574 ◽

Cited By ~ 28

Author(s):

Marius Mitrea ◽

Sylvie Monniaux

Keyword(s):

Initial Value Problem ◽

Stokes Operator ◽

Navier Stokes ◽

Lipschitz Domains ◽

Initial Value

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Critical Function Spaces for the Wellposedness of the Navier-Stokes Initial Value Problem

Handbook of Mathematical Analysis in Mechanics of Viscous Fluids ◽

10.1007/978-3-319-10151-4_12-1 ◽

2016 ◽

pp. 1-39

Author(s):

Isabelle Gallagher

Keyword(s):

Initial Value Problem ◽

Function Spaces ◽

Navier Stokes ◽

Initial Value ◽

Critical Function

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Solutions of the Navier-Stokes initial value problem in weightedLq-spaces

Mathematische Nachrichten ◽

10.1002/mana.200310170 ◽

2004 ◽

Vol 269-270 (1) ◽

pp. 150-166 ◽

Cited By ~ 8

Author(s):

Andreas Fröhlich

Keyword(s):

Initial Value Problem ◽

Navier Stokes ◽

Initial Value

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ON A SINGULAR INITIAL‐VALUE PROBLEM FOR THE NAVIER–STOKES EQUATIONS

Mathematika ◽

10.1112/s0025579314000333 ◽

2015 ◽

Vol 61 (2) ◽

pp. 277-294 ◽

Cited By ~ 1

Author(s):

L. E. Fraenkel ◽

M. D. Preston

Keyword(s):

Initial Value Problem ◽

Stokes Equations ◽

Navier Stokes ◽

Initial Value ◽

Navier Stokes Equations ◽

Singular Initial Value Problem

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Critical Function Spaces for the Well-Posedness of the Navier-Stokes Initial Value Problem

Handbook of Mathematical Analysis in Mechanics of Viscous Fluids ◽

10.1007/978-3-319-13344-7_12 ◽

2018 ◽

pp. 647-685 ◽

Cited By ~ 1

Author(s):

Isabelle Gallagher

Keyword(s):

Initial Value Problem ◽

Function Spaces ◽

Navier Stokes ◽

Well Posedness ◽

Initial Value ◽

Critical Function

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Navier-Stokes Initial Value Problem for Boundary-Free Incompressible Fluid Flow

The Physics of Fluids ◽

10.1063/1.1692879 ◽

1970 ◽

Vol 13 (12) ◽

pp. 2891 ◽

Cited By ~ 14

Author(s):

Gerald Rosen

Keyword(s):

Fluid Flow ◽

Incompressible Fluid ◽

Initial Value Problem ◽

Navier Stokes ◽

Incompressible Fluid Flow ◽

Initial Value

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The initial value problem for euler and navier-stokes equations in L s p (ℝ2)

Lecture Notes in Mathematics - Partial Differential Equations ◽

10.1007/bfb0100796 ◽

1988 ◽

pp. 245-252

Author(s):

Gustavo Ponce

Keyword(s):

Initial Value Problem ◽

Stokes Equations ◽

Navier Stokes ◽

Initial Value ◽

Navier Stokes Equations

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The initial value problem for the navier-stokes equations

Archive for Rational Mechanics and Analysis ◽

10.1007/bf00282248 ◽

1966 ◽

Vol 21 (4) ◽

pp. 270-285 ◽

Cited By ~ 26

Author(s):

Marvin Shinbrot ◽

Shmuel Kaniel

Keyword(s):

Initial Value Problem ◽

Stokes Equations ◽

Navier Stokes ◽

Initial Value ◽

Navier Stokes Equations

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The Initial Value Problem for the Navier-Stokes Equations with General Slip Boundary Condition in Hölder Spaces

Journal of Mathematical Fluid Mechanics ◽

10.1007/s00021-003-0074-6 ◽

2003 ◽

Vol 5 (3) ◽

pp. 275-301 ◽

Cited By ~ 13

Author(s):

S. Itoh ◽

N. Tanaka ◽

A. Tani

Keyword(s):

Boundary Condition ◽

Initial Value Problem ◽

Stokes Equations ◽

Slip Boundary Condition ◽

Navier Stokes ◽

Hölder Spaces ◽

Initial Value ◽

Navier Stokes Equations ◽

Slip Boundary ◽

Holder Spaces

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