16 citations · 79 across the 44 of their papers we have counts for
45 papers
Critical thresholds for the damped wave system with mixed product-type nonlinearities
Trung Loc Tang, Tuan Anh Dao, The Anh Cung
In this paper, we study the Cauchy problem for a coupled system of damped wave equations with mixed product-type nonlinearities. We have succeeded in determining the critical curve…
Global existence of solutions for nonlinear damped wave equations in an exterior domain with nonlinearities of derivative type
Tuan Anh Dao, Dinh Van Duong, Masahiro Ikeda
In this paper, we are interested in considering the semi-linear damped wave equation with the power nonlinearity of derivative type in D exterior domains to indicate the global…
On a system of semilinear damped -evolution equations with different damping types in the critical case
Trung Loc Tang, Tuan Anh Dao, The Anh Cung
In this paper, we study the non-symmetric system of semilinear damped -evolution equations with different damping types, where two power exponents of nonlinearities belong to th…
Blow-up and sharp lifespan estimates to the weakly coupled system of structurally damped wave equations with critical nonlinearities
Trung Loc Tang, Tuan Anh Dao, The Anh Cung
In this paper, we would like to study the weakly coupled system of semilinear structurally damped wave equations with moduli of continuity in nonlinear terms whose powers belong to…
Non-existence results for a system of wave inequalities on locally finite graphs
Anh Tuan Duong, Tuan Anh Dao
Let be a locally finite, connected and weighted graph. We study non-existence results of non-trivial, non-negative solutions of the system $$ \begin{cases} u_{t t}-Δu \geq h_1|…
Existence of global solutions to semilinear damped wave equations with nonlinearities of derivative type
Dinh Van Duong, Tuan Anh Dao
In this paper, we would like to consider the semi-linear damped wave equation with the power nonlinearity of derivative type . The main contribution of this work is to imp…
Sharp behavior of semilinear damped wave equations driven by mixed local-nonlocal operators
Wenhui Chen, Tuan Anh Dao
This paper investigates the Cauchy problem for the semilinear damped wave equation with the mixed local-nonlocal operator $\mathcal{L}_{a,b}:=…
Blow up results and lifespan estimates for nonlinear damped wave equations on weighted graphs
Tuan Anh Dao, Anh Tuan Duong
In this article, we are interested in studying the Cauchy problems for nonlinear damped wave equations and their systems on a weighted graph. Our main purpose is two-fold, namely,…
Critical exponent for semilinear damped wave equations with weighted nonlinear terms and data from Sobolev spaces of negative order
Dinh Van Duong, Tuan Anh Dao
In this paper, we would like to study the critical exponent for semilinear damped wave equations with the nonlinearity terms of Coulomb-type singularities and…
Critical curve for the weakly coupled system of damped wave equations with mixed nonlinearities
Dinh Van Duong, Tuan Anh Dao, Masahiro Ikeda
In this paper, we would like to consider the Cauchy problem for a weakly coupled system of semi-linear damped wave equations with mixed nonlinear terms. Our main objective is to dr…
Effect of additional regularity for the initial data on semi-linear -evolution equations with different damping types
Dinh Van Duong, Tuan Anh Dao
In this paper, we would like to study the critical exponent for semi-linear -evolution equations with different damping types under the influence of additional regularity for th…
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…
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…
Locally Hölder continuity of the solution map to a boundary control problem with finite mixed control-state constraints
Nguyen Hai Son, Tuan Anh Dao
The local stability of the solution map to a parametric boundary control problem governed by semilinear elliptic equations with finite mixed pointwise constraints is considered in…
Monolithic parabolic regularization of the MHD equations and entropy principles
Tuan Anh Dao, Murtazo Nazarov
We show at the PDE level that the monolithic parabolic regularization of the equations of ideal magnetohydrodynamics (MHD) is compatible with all the generalized entropies, fulfill…
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…
The Cauchy problem for the nonlinear viscous Boussinesq equation in the framework
Wenhui Chen, Tuan Anh Dao
In this paper, we study the viscous Boussinesq equation in the whole space , which describes the propagation of small amplitude and long waves on the surface of water…
Blow-up and lifespan estimates for solutions to the weakly coupled system of nonlinear damped wave equations outside a ball
Tuan Anh Dao, Masahiro Ikeda
In this paper, we consider the initial-boundary value problems with several fundamental boundary conditions (the Dirichlet/Neumann/Robin boundary condition) for the multi-component…