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In this paper, we prove the global well-posedness of the 3-D generalized incompressible Navier–Stokes equations in critical Besov spaces under a polynomial smallness assumption on the initial data. Moreover, we… Click to show full abstract
In this paper, we prove the global well-posedness of the 3-D generalized incompressible Navier–Stokes equations in critical Besov spaces under a polynomial smallness assumption on the initial data. Moreover, we construct a class of initial data with large vertical component, which satisfies that polynomial condition but cannot satisfy the exponential condition in Liu (2020).
Keywords:
stokes equations;
generalized incompressible;
global large;
incompressible navier;
navier stokes;
large solutions
Journal Title: Bulletin of the Malaysian Mathematical Sciences Society
Year Published: 2020
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Journal Title: Bulletin of the Malaysian Mathematical Sciences Society
Year Published: 2020
Link to full text (if available)
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recommendations!