33 citations · 73 across the 8 of their papers we have counts for
8 papers
Infinite series asymptotic expansions for decaying solutions of dissipative differential equations with non-smooth nonlinearity
Dat Cao, Luan Hoang, Thinh Kieu
We study the precise asymptotic behavior of a non-trivial solution that converges to zero, as time tends to infinity, of dissipative systems of nonlinear ordinary differential equa…
Asymptotic expansions with exponential, power, and logarithmic functions for non-autonomous nonlinear differential equations
Dat Cao, Luan Hoang
This paper develops further and systematically the asymptotic expansion theory that was initiated by Foias and Saut in [11]. We study the long-time dynamics of a large class of dis…
Asymptotic expansions in a general system of decaying functions for solutions of the Navier-Stokes equations
Dat Cao, Luan Hoang
We study the long-time dynamics of the Navier-Stokes equations in the three-dimensional periodic domains with a body force decaying in time. We introduce appropriate systems of dec…
Long-time asymptotic expansions for Navier-Stokes equations with power-decaying forces
Dat Cao, Luan Hoang
The Navier-Stokes equations for viscous, incompressible fluids are studied in the three-dimensional periodic domains, with the body force having an asymptotic expansion, when time…
Mixed Boundary Value Problems for non-Divergence Type Elliptic Equations in Unbounded Domain
Dat Cao, Akif Ibraguimov, Alexander I. Nazarov
We investigate the qualitative properties of solution to the Zaremba type problem in unbounded domain for the non-divergence elliptic equation with possible degeneration at infinit…
Weighted- estimates for weak solutions of degenerate and singular elliptic equations
Dat Cao, Tadele Mengesha, Tuoc Phan
Global weighted -estimates are obtained for the gradient of solutions to a class of linear singular, degenerate elliptic Dirichlet boundary value problems over a bounded non…