1 citations · 1 across the 6 of their papers we have counts for
6 papers
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…
Applications of estimates for solutions to semi-linear -evolution equations with general double damping
Dinh Van Duong, Tuan Anh Dao
In this paper, we would like to study the linear Cauchy problems for semi-linear -evolution models with mixing a parabolic like damping term corresponding to a…
On the Cauchy problem for a weakly coupled system of semi-linear -evolution equations with double dissipation
Yingli Qiao, Tuan Anh Dao
In this paper, we would like to consider the Cauchy problem for a multi-component weakly coupled system of semi-linear -evolution equations with double dissipation for any $σ\ge…
On asymptotic properties of solutions to -evolution equations with general double damping
Tuan Anh Dao, Dinh Van Duong, Duc Anh Nguyen
In this paper, we would like to consider the Cauchy problem for semi-linear -evolution equations with double structural damping for any . The main purpose of the present…
Structure preserving numerical methods for the ideal compressible MHD system
Tuan Anh Dao, Murtazo Nazarov, Ignacio Tomas
We introduce a novel structure-preserving method in order to approximate the compressible ideal Magnetohydrodynamics (MHD) equations. This technique addresses the MHD equations usi…
A high-order residual-based viscosity finite element method for the ideal MHD equations
Tuan Anh Dao, Murtazo Nazarov
We present a high order, robust, and stable shock-capturing technique for finite element approximations of ideal MHD. The method uses continuous Lagrange polynomials in space and e…