Remarks on the incompressible Navier-Stokes flows for linearly growing initial data
Sawada, Okihiro
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Displaying similar documents to “On spatial decay estimates for derivatives of vorticities of the two dimensional Navier-Stokes flow”
Remarks on the incompressible Navier-Stokes flows for linearly growing initial data
Sharp asymptotic estimates for vorticity solutions of the 2D Navier-Stokes equation.
You, Yuncheng (2008)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Dynamics of Singularity Surfaces for Compressible Navier-Stokes Flows in Two Space Dimensions
David Hoff (2001)
Journées équations aux dérivées partielles
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We prove the global existence of solutions of the Navier-Stokes equations of compressible, barotropic flow in two space dimensions with piecewise smooth initial data. These solutions remain piecewise smooth for all time, retaining simple jump discontinuities in the density and in the divergence of the velocity across a smooth curve, which is convected with the flow. The strengths of these discontinuities are shown to decay exponentially in time, more rapidly for larger acoustic speeds...
Generic solvability for the 3-D Navier-Stokes equations with nonregular force.
Lee, Jihoon (2004)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Two component regularity for the Navier-Stokes equations.
Fan, Jishan, Gao, Hongjun (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Some remarks on the non-uniqueness of the stationary solutions of Navier-Stokes equations.
Motyl, Elżbieta (2001)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Stabilité et asymptotique en temps grand de solutions globales des équations de Navier-Stokes
Isabelle Gallagher, Dragoş Iftimie, Fabrice Planchon (2002)
Journées équations aux dérivées partielles
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We study a priori global strong solutions of the incompressible Navier-Stokes equations in three space dimensions. We prove that they behave for large times like small solutions, and in particular they decay to zero as time goes to infinity. Using that result, we prove a stability theorem showing that the set of initial data generating global solutions is open.