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math.AP2026
Large time dynamics for non-autonomous weakly damped KdV-Burgers equations on the real line
Cung The Anh, Nesibe Ayhan, Bao Quoc Tang +1
The large time dynamics of the weakly damped non-autonomous Korteweg-de Vries-Burgers equation \begin{equation*} u_t + u_{xxx}+ uu_x + λu - μu_{xx} = g(x,t) \end{equation*} in the…
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…