Weekly Activities

On regularity of weak solutions for the Navier-Stokes equations in general domains, II
Báo cáo viên: Đào Quang Khải

Thời gian: 9h30 Thứ 5, ngày 19/6/2019
Địa điểm: Phòng Semina tầng 5, tòa nhà A6, Viện Toán học
Tóm tắt: 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.

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