On regularity of weak solutions for thenavier-stokes equations in general domains
Speaker: Dao Quang Khai

Time: 9h30, Tuesday, Decemer 4, 2018
Location: Room 302 Building A5, Institute of Mathematics, 18 Hoang Quoc Viet, Cau Giay, Hanoi
Abstract: In this talk, we present a regularity criterion for weak solutions of the instationary Navier–Stokes system which additionally satisfy the strong energy inequality.  Let u be a weak solution of the instationary Navier-Stokesequations in a completely gereral domain, we prove that u is regular if the kinetic energy is left-side continuous Holder seminorm as a function of time  with Holder exponent 1/2 and with sufficiently small Holder seminorm