Zobrazeno 1 - 10
of 96
pro vyhledávání: '"Đào Thế Anh"'
We establish a new family of the critical higher order Sobolev interpolation inequalities for radial functions as well as for non-radial functions. These Sobolev interpolation inequalities are sharp in the sense that they use the optimal quadratic fo
Externí odkaz:
http://arxiv.org/abs/2410.18335
Autor:
Van Duong, Dinh, Dao, Tuan Anh
In this paper, our main goal is to achieve the high-order asymptotic expansion of solutions to $\sigma$-evolution equations with different damping types in the $L^2$ framework. Throughout this, we observe the influence of parabolic like models corres
Externí odkaz:
http://arxiv.org/abs/2409.04287
In this paper, we would like to consider the Cauchy problem for a weakly coupled system of semi linear $sigma$ evolution equations with different damping mechanisms for any $\sigma>1$, parabolic like damping and $\sigma$ evolution like damping. Motiv
Externí odkaz:
http://arxiv.org/abs/2406.00450
Autor:
Dao, Tuan Anh, Nazarov, Murtazo
We present a novel high-order nodal artificial viscosity approach designed for solving Magnetohydrodynamics (MHD) equations. Unlike conventional methods, our approach eliminates the need for ad hoc parameters. The viscosity is mesh-dependent, yet exp
Externí odkaz:
http://arxiv.org/abs/2404.09311
Nonlinear conservation laws such as the system of ideal magnetohydrodynamics (MHD) equations may develop singularities over time. In these situations, viscous regularization is a common approach to regain regularity of the solution. In this paper, we
Externí odkaz:
http://arxiv.org/abs/2402.03929
Autor:
Van Duong, Dinh, Dao, Tuan Anh
In this paper, we would like to study the linear Cauchy problems for semi-linear $\sigma$-evolution models with mixing a parabolic like damping term corresponding to $\sigma_1 \in [0,\sigma/2)$ and a $\sigma$-evolution like damping corresponding to $
Externí odkaz:
http://arxiv.org/abs/2311.09085
Autor:
Qiao, Yingli, Dao, Tuan Anh
In this paper, we would like to consider the Cauchy problem for a multi-component weakly coupled system of semi-linear $\sigma$-evolution equations with double dissipation for any $\sigma\ge 1$. The first main purpose is to obtain the global (in time
Externí odkaz:
http://arxiv.org/abs/2311.06663
In this paper, we would like to consider the Cauchy problem for semi-linear $\sigma$-evolution equations with double structural damping for any $\sigma\ge 1$. The main purpose of the present work is to not only study the asymptotic profiles of soluti
Externí odkaz:
http://arxiv.org/abs/2311.06660
We introduce a novel structure-preserving method in order to approximate the compressible ideal Magnetohydrodynamics (MHD) equations. This technique addresses the MHD equations using a non-divergence formulation, where the contributions of the magnet
Externí odkaz:
http://arxiv.org/abs/2310.18467
Autor:
Dao, Nguyen Anh, Tien, Anh Nguyen Vu
The main purpose of this paper is to study weak solutions of time-fractional of porous medium equation with nonlocal pressure: \[ \partial^\alpha_t u=\operatorname{div}\left( |u|^{m}\nabla (-\Delta)^{-s} u\right) \,\, \text{in } \mathbb{R}^N\times (0
Externí odkaz:
http://arxiv.org/abs/2304.12580