16 citations · 79 across the 44 of their papers we have counts for
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Sharp higher-order -asymptotic expansion of solutions to σ-evolution equations with different damping types
Dinh Van Duong, Tuan Anh Dao
In this paper, our main goal is to achieve the high-order asymptotic expansion of solutions to -evolution equations with different damping types in the framework. Througho…
Critical curve for a weakly coupled system of semi-linear -evolution equations with different damping types
Dinh Van Duong, Tuan Anh Dao, Michael Reissig
In this paper, we would like to consider the Cauchy problem for a weakly coupled system of semi linear evolution equations with different damping mechanisms for any ,…
A nodal based high order nonlinear stabilization for finite element approximation of Magnetohydrodynamics
Tuan Anh Dao, Murtazo Nazarov
We present a novel high-order nodal artificial viscosity approach designed for solving Magnetohydrodynamics (MHD) equations. Unlike conventional methods, our approach eliminates th…
Viscous regularization of the MHD equations
Tuan Anh Dao, Lukas Lundgren, Murtazo Nazarov
Nonlinear conservation laws such as the system of ideal magnetohydrodynamics (MHD) equations may develop singularities over time. In these situations, viscous regularization is a c…