33 citations · 115 across the 25 of their papers we have counts for
16 papers · 1 filter
Regularity bounds for a Gevrey criterion in a kernel-based regularization of the Cauchy problem of elliptic equations
Khoa Anh Vo, The Hung Tran
This Note derives regularity bounds for a Gevrey criterion when the Cauchy problem of elliptic equations is solved by regularization. When utilizing the regularization, one knows t…
Corrector homogenization estimates for a non-stationary Stokes-Nernst-Planck-Poisson system in perforated domains
Vo Anh Khoa, Adrian Muntean
We consider a non-stationary Stokes-Nernst-Planck-Poisson system posed in perforated domains. Our aim is to justify rigorously the homogenization limit for the upscaled system deri…
Application of the cut-off projection to solve a backward heat conduction problem in a two-slab composite system
Nguyen Huy Tuan, Vo Anh Khoa, Mai Thanh Nhat Truong +2
The main goal of this paper is applying the cut-off projection for solving one-dimensional backward heat conduction problem in a two-slab system with a perfect contact. In a constr…
Correctors justification for a Smoluchowski--Soret--Dufour model posed in perforated domains
Vo Anh Khoa, Adrian Muntean
We study a coupled thermo-diffusion system that accounts for the dynamics of hot colloids in periodically heterogeneous media. Our model describes the joint evolution of temperatur…
A generalized filter regularization result for some nonlinear evolution equations in Hilbert spaces
Nguyen Huy Tuan, Vo Anh Khoa, Vo Van Au
Despite the strong focus of regularization on ill-posed problems, the general construction of such methods has not been fully explored. Moreover, many previous studies cannot be cl…
A high-order corrector estimate for a semi-linear elliptic system in perforated domains
Vo Anh Khoa
We derive in this note a high-order corrector estimate for the homogenization of a microscopic semi-linear elliptic system posed in perforated domains. The major challenges are the…
A Note on Iterations-based Derivations of High-order Homogenization Correctors for Multiscale Semi-linear Elliptic Equations
Khoa Vo, Adrian Muntean
This Note aims at presenting a simple and efficient procedure to derive the structure of high-order corrector estimates for the homogenization limit applied to a semi-linear ellipt…
Asymptotic analysis of a semi-linear elliptic system in perforated domains: well-posedness and correctors for the homogenization limit
Vo Anh Khoa, Adrian Muntean
In this study, we prove results on the weak solvability and homogenization of a microscopic semi-linear elliptic system posed in perforated media. The model presented here explores…
Stability and error estimates of a general modified quasi-boundary value method via a semi-linear backward parabolic equation
Vo Anh Khoa
Regularization methods have been recently developed to construct stable approximate solutions to classical partial differential equations considered as final value problems. In thi…
The Cauchy problem of coupled elliptic sine-Gordon equations with noise: Analysis of a general kernel-based regularization and reliable tools of computing
Vo Anh Khoa, Mai Thanh Nhat Truong, Nguyen Ho Minh Duy +1
Developments in numerical methods for problems governed by nonlinear partial differential equations underpin simulations with sound arguments in diverse areas of science and engine…
Existence, blow-up and exponential decay of solutions for a porous-elastic system with damping and source terms
Vo Anh Khoa, Le Thi Phuong Ngoc, Nguyen Thanh Long
In this paper we consider a porous-elastic system consisting of nonlinear boundary/interior damping and nonlinear boundary/interior sources. Our interest lies in the theoretical un…
On the regularization of solution of an inverse ultraparabolic equation associated with perturbed final data
Vo Anh Khoa, Le Trong Lan, Nguyen Huy Tuan +1
In this paper, we study the inverse problem for a class of abstract ultraparabolic equations which is well-known to be ill-posed. We employ some elementary results of semi-group th…
A numerical approach to approximation for an ultraparabolic equation
Vo Anh Khoa, Le Trong Lan, Nguyen Thi Yen Ngoc +1
We study the following ultraparabolic equation \[ \frac{\partial}{\partial t}u\left(t,s\right)+\frac{\partial}{\partial s}u\left(t,s\right)+\mathcal{L}u\left(t,s\right)=f\left(u\le…
Approximation of mild solutions of the linear and nonlinear elliptic equations
Nguyen Huy Tuan, Dang Duc Trong, Le Duc Thang +1
In this paper, we investigate the Cauchy problem for both linear and semi-linear elliptic equations. In general, the equations have the form \[ \frac{\partial^{2}}{\partial t^{2}}u…
A modified integral equation method of the nonlinear elliptic equation with globally and locally Lipschitz source
Nguyen Huy Tuan, Le Duc Thang, Vo Anh Khoa
The paper is devoted to investigating a Cauchy problem for nonlinear elliptic PDEs in the abstract Hilbert space. The problem is hardly solved by computation since it is severely i…
Reconstruction of the electric field of the Helmholtz equation in 3D
Huy Tuan Nguyen, Vo Anh Khoa, Mach Nguyet Minh +1
In this paper, we rigorously investigate the truncation method for the Cauchy problem of Helmholtz equations which is widely used to model propagation phenomena in physical applica…