Time: 9h30 Wednesday, May 22, 2019
Location: 5th Floor, Building A6, Institute of Mathematics, 18 Hoang Quoc Viet, Cau Giay, Hanoi.
Abstract: In this talk, we present several new regularity criteria for weak solution u of the instationary Navier-Stokes equations in a completely general domain. We show that u is regular if the kinetic energy |u(t)|_2^2 is left-side Holder continuous with Holder exponent 1/2 and with a sufficiently small Holder seminorm. Our proofs use the theory about the existence of local strong solutions and uniqueness arguments in the general domain.