3 papers
math.OC2024
Second-order optimality conditions and stability for optimal control problems governed by viscous Camassa-Holm equations
Cung The Anh, Nguyen Hai Ha Giang
This work is a continuation of the previous one in [{\it Optimization} (2023)], where the existence of optimal solutions and first-order necessary optimality conditions in both Pon…
math.AP2024
Decay characterization of solutions to semi-linear structurally damped -evolution equations with time-dependent damping
Cung The Anh, Phan Duc An, Pham Trieu Duong
In this paper, we study the Cauchy problem to the linear damped -evolution equation with time-dependent damping in the effective cases \begin{equation*} u_{t t}+(-Δ)^σu+b(t)(-Δ)…
math.AP2019
Discontinuous Galerkin approximations for an optimal control problem of three-dimensional Navier-Stokes-Voigt equations
Cung The Anh, Tran Minh Nguyet
We analyze a fully discrete scheme based on the discontinuous (in time) Galerkin approach, which is combined with conforming finite element subspaces in space, for the distributed…