8 citations · 8 across the 13 of their papers we have counts for
13 papers
Existence, blow-up and exponential decay estimates for a nonlinear wave equation with boundary conditions of two-point type
Le Xuan Truong, Le Thi Phuong Ngoc, Alain Pham Ngoc Dinh +1
This paper is devoted to study a nonlinear wave equation with boundary conditions of two-point type. First, we state two local existence theorems and under suitable conditions, we…
On a nonlinear heat equation associated with Dirichlet -- Robin conditions
Le Thi Phuong Ngoc, Nguyen Van Y, Alain Pham Ngoc Dinh +1
This paper is devoted to the study of a nonlinear heat equation associated with Dirichlet-Robin conditions. At first, we use the Faedo -- Galerkin and the compactness method to pro…
A new stability results for the backward heat equation
Alain Pham Ngoc Dinh, Dang Duc Trong, Pham Hoang Quan +1
In this paper, we regularize the nonlinear inverse time heat problem in the unbounded region by Fourier method. Some new convergence rates are obtained. Meanwhile, some quite sharp…
Large time behavior of differential equations with drifted periodic coefficients modeling Carbon storage in soil
Stephane Cordier, Le Xuan Truong, Long Nguyen Thanh +1
This paper is concerned with the linear ODE in the form , which represents a simplified storage model of the carbon in the soil. In the first part, we s…
Determine the source term of a two-dimensional heat equation
Dang Duc Trong, Truong Trung Tuyen, Phan Thanh Nam +1
Let be a two-dimensional heat conduction body. We consider the problem of determining the heat source with be given inexactly and be unknown. The pr…
Ice formation in the Arctic during summer: false-bottoms
Phan Thanh Nam, Alain Pham Ngoc Dinh, Pham Hoang Quan +1
The only source of ice formation in the Arctic during summer is a layer of ice called false-bottoms between an under-ice melt pond and the underlying ocean. Of interest is to give…