Dao Quang Khai

Doctor Department of Differential Equations Research interests: Differential Equations

Address
Office: Building A5, Room 307
Tel: +84 024 37563474 / 147
Email: dqkhai AT math.av.vn

Born in Hoa Binh

Education and academic degrees:

2010: Master, Institue of Mathematics, VAST

Research areas: Partial differential equations, Harmonic analysis

 

PUBLICATIONS

 

List of publications in MathSciNet

List of recent publications

1	V. T. T. Duong, Dao Quang Khai, Nguyen Minh Tri, On regularity of weak solutions for the Navier-Stokes equations in general domains, Mathematische Nachrichten. 294 (2021) no. 12, 201900407. (SCI-E, Scopus).
2	Ngo Van Giang, Dao Quang Khai, Some new regularity criteria for the Navier–Stokes equations in terms of one directional derivative of the velocity field, Nonlinear Analysis: Real World Applications, 62 (2021), 103379, (SCI-E, Scopus).
3	V.T.T. Duong, Dao Quang Khai, Nguyen Minh Tri, Time decay rates of the L^3-Norm for strong solutions to the Navier-Stokes equations in {\mathbb R^3}, Journal of Mathematical Analysis and Applications, 485 (2020) 123864, SCI(-E); Scopus.
4	Dao Quang Khai, Well-Posedness for the Navier-Stokes Equations with Datum in the Sobolev Spaces, Acta Mathematica Vietnamica 42(2017), 431–443, . Scopus.
5	Dao Quang Khai, Nguyen Minh Tri, Well-posedness for the Navier–Stokes equations with data in homogeneous Sobolev–Lorentz spaces, Nonlinear Analysis, 149 (2017), 130-145, SCI(-E); Scopus.
6	Dao Quang Khai, Nguyen Minh Tri, On the Initial Value Problem for the Navier-Stokes Equations with the Initial Datum in Critical Sobolev and Besov Spaces, Journal of Mathematical Sciences University of Tokyo, 23(2016), 499-528.
7	Dao Quang Khai, Nguyen Minh Tri, Well-posedness for the Navier–Stokes equations with datum in Sobolev–Fourier–Lorentz spaces, Journal of Mathematical Analysis and Applications, 437 (2016), 754–781, SCI(-E); Scopus.
8	Dao Quang Khai, Nguyen Minh Tri, On the Hausdorff dimension of the singular set in time for weak solutions to the nonstationary Navier-Stokes equations on torus, Vietnam Journal of Mathematics, 43 (2015), 283-295, Scopus.
9	Dao Quang Khai, Nguyen Minh Tri, Solutions in mixed-norm Sobolev–Lorentz spaces to the initial value problem for the Navier–Stokes equations, Journal of Mathematical Analysis and Applications 417 (2014) 819-833, SCI(-E); Scopus.
10	Dao Quang Khai, Nguyen Minh Tri, On general axisymmetric explicit solutions for the Navier-Stokes equations,  International Journal of Evolution Equations,  6 (2103), 325 - 336.

Preprints

1	IMH20210602, N.V. Giang, Dao Quang Khai, Some new regularity criteria for the Navier-Stokes equations in terms of one directional derivative of the velocity field, to appear in Nonlinear Analysis: Real World Applications.
2	IMH20191104, V. T. T. Duong, Dao Quang Khai, Nguyen Minh Tri, On regularity of weak solutions for the Navier-Stokes equations in general domains
3	IMH20160304, Dao Quang Khai, Vu Thi Thuy Duong, On the initial value problem for the Navier-Stokes equations with the initial datum in the Sobolev spaces, preprint arXiv:1603.04219.
4	IMH20151207, Dao Quang Khai, Nguyen Minh Tri, The existence and space-time decay rates of strong solutions to Navier-Stokes Equations in weighed $L^\infty \left( {|x|^\gamma dx} \right) \cap L^\infty \left( {|x|^\beta dx} \right)$ spaces
5	IMH20151206, Dao Quang Khai, Nguyen Minh Tri, The existence and decay rates of strong solutions for Navier-Stokes Equations in Bessel-potential spaces