Weak in Space, Log in Time Improvement of the Ladyženskaja-Prodi-Serrin Criteria
نویسندگان
چکیده
In this article we present a Ladyženskaja-Prodi-Serrin Criteria for regularity of solutions for the Navier-Stokes equation in three dimensions which incorporates weak L norms in the space variables and log improvement in the time variable. Mathematics Subject Classification (2010). Primary 76D03; Secondary 76D05, 35Q30.
منابع مشابه
Log improvement of the Prodi-Serrin criteria for Navier-Stokes equations
where u is a vector-valued function representing the velocity of the fluid, and p is the pressure. Note that the pressure depends in a non local way on the velocity u. It can be seen as a Lagrange multiplier associated to the incompressible condition (2). The initial value problem of the above equation is endowed with the condition that u(0, ·) = u0 ∈ L (R). Leray [11] and Hopf [6] had already ...
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