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Abstract In this paper we study the incompressible Navier-Stokes equations in L 2 ( R 3 ) ∩ X − 1 ( R 3 ) . In the global existence… Click to show full abstract
Abstract In this paper we study the incompressible Navier-Stokes equations in L 2 ( R 3 ) ∩ X − 1 ( R 3 ) . In the global existence case, we establish that if the solution u is in the space C ( R + , L 2 ∩ X − 1 ) , then for σ > − 3 / 2 the decay of ‖ u ( t ) ‖ X σ is at least of the order of t − ( 2 σ + 3 ) / 4 . Fourier analysis and standard techniques are used.
Keywords:
nse spaces;
behaviour solutions;
time behaviour;
large time;
solutions nse
Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2020
Link to full text (if available)
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Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!