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
1Ngo 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).
2V.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.
3Dao Quang Khai, Well-Posedness for the Navier-Stokes Equations with Datum in the Sobolev Spaces, Acta Mathematica Vietnamica 42(2017), 431–443, . Scopus.
4Dao 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.
5Dao 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.
6Dao 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.
7Dao 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.
8Dao 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.
9Dao 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
1IMH20210602, 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.
2IMH20191104, V. T. T. Duong, Dao Quang Khai, Nguyen Minh Tri, On regularity of weak solutions for the Navier-Stokes equations in general domains
3IMH20160304, 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.
4IMH20151207, 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
5IMH20151206, Dao Quang Khai, Nguyen Minh Tri, The existence and decay rates of strong solutions for Navier-Stokes Equations in Bessel-potential spaces