Semilinear heat equations and the navier-stokes equation with distributions in new function spaces as initial data

Communications in Partial Differential Equations ◽

10.1080/03605309408821042 ◽

1994 ◽

Vol 19 (5-6) ◽

pp. 959-1014 ◽

Author(s):

Hideo Kozono ◽

Masao Yamazaki

Keyword(s):

Initial Data ◽

Stokes Equation ◽

Function Spaces ◽

Navier Stokes ◽

Heat Equations ◽

Navier Stokes Equation

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On the 2D Navier-Stokes equation with singular initial data and forcing term

Revista Matemática Contemporânea ◽

10.21711/231766361996/rmc101 ◽

1996 ◽

Vol 10 (1) ◽

Author(s):

Hebe Biagioni ◽

Todor Gramchev

Keyword(s):

Initial Data ◽

Stokes Equation ◽

Navier Stokes ◽

Navier Stokes Equation ◽

Forcing Term ◽

Singular Initial Data

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The generalized Burgers’ equation and the Navier-Stokes equation in ${\bf R}\sp n$ with singular initial data

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-1987-0897066-5 ◽

1987 ◽

Vol 101 (1) ◽

pp. 29-29

Author(s):

Joel D. Avrin

Keyword(s):

Initial Data ◽

Stokes Equation ◽

Burgers Equation ◽

Navier Stokes ◽

Navier Stokes Equation ◽

Generalized Burgers Equation ◽

Singular Initial Data

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The Navier-Stokes equation in various function spaces

Selected Papers on Classical Analysis - American Mathematical Society Translations: Series 2 ◽

10.1090/trans2/204/06 ◽

2001 ◽

pp. 111-132

Author(s):

Masao Yamazaki

Keyword(s):

Stokes Equation ◽

Function Spaces ◽

Navier Stokes ◽

Navier Stokes Equation

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Global solvability of the Cauchy problem for the Navier–Stokes equation in $$\mathbb {R}^3$$ for some class of initial data

Mathematische Zeitschrift ◽

10.1007/s00209-007-0275-4 ◽

2007 ◽

Vol 260 (2) ◽

pp. 305-327

Author(s):

K. Pileckas ◽

W. M. Zaja̧czkowski

Keyword(s):

Cauchy Problem ◽

Initial Data ◽

Stokes Equation ◽

Global Solvability ◽

Navier Stokes ◽

Navier Stokes Equation ◽

The Cauchy Problem

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Singular initial data and uniform global bounds for the hyper-viscous Navier–Stokes equation with periodic boundary conditions

Journal of Differential Equations ◽

10.1016/s0022-0396(02)00155-9 ◽

2003 ◽

Vol 190 (1) ◽

pp. 330-351 ◽

Author(s):

Joel Avrin

Keyword(s):

Initial Data ◽

Boundary Conditions ◽

Stokes Equation ◽

Periodic Boundary ◽

Periodic Boundary Conditions ◽

Navier Stokes ◽

Navier Stokes Equation ◽

Singular Initial Data

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Global regularity for solutions of the three dimensional Navier–Stokes equation with almost two dimensional initial data

Nonlinearity ◽

10.1088/1361-6544/ab9246 ◽

2020 ◽

Vol 33 (10) ◽

pp. 5272-5323

Author(s):

Evan Miller

Keyword(s):

Initial Data ◽

Stokes Equation ◽

Global Regularity ◽

Three Dimensional ◽

Navier Stokes ◽

Two Dimensional ◽

Navier Stokes Equation

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The Generalized Burgers' Equation and the Navier-Stokes Equation in \mathbR n with Singular Initial Data

Proceedings of the American Mathematical Society ◽

10.2307/2046546 ◽

1987 ◽

Vol 101 (1) ◽

pp. 29 ◽

Author(s):

Joel D. Avrin

Keyword(s):

Initial Data ◽

Stokes Equation ◽

Burgers Equation ◽

Navier Stokes ◽

Navier Stokes Equation ◽

Generalized Burgers Equation ◽

Singular Initial Data

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The Navier-Stokes equation with distributions as initial data and application to self-similar solutions

New Trends in Microlocal Analysis ◽

10.1007/978-4-431-68413-8_10 ◽

1997 ◽

pp. 125-141 ◽

Author(s):

Hideo Kozono ◽

Masao Yamazaki

Keyword(s):

Initial Data ◽

Stokes Equation ◽

Navier Stokes ◽

Navier Stokes Equation ◽

Self Similar ◽

Similar Solutions

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Navier-Stokes equation

Physics Subject Headings (PhySH) ◽

10.29172/a3ff37a7-c0a4-48a9-a32f-0dbc060c2746 ◽

2018 ◽

Keyword(s):

Stokes Equation ◽

Navier Stokes ◽

Navier Stokes Equation

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6 Navier–Stokes equation in 2D and 3D

Critical Parabolic-Type Problems ◽

10.1515/9783110599831-006 ◽

2020 ◽

pp. 141-158

Keyword(s):

Stokes Equation ◽

Navier Stokes ◽

Navier Stokes Equation ◽

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