4 papers · 1 filter
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…
Mathematical Model for the Evaporation of a Liquid Fuel Droplet, Subject to Nonlinear Constraints
Radjaverane Alexandre, Long Nguyen Thanh, Alain Pham Ngoc Dinh
We study the mathematical evolution of a liquid fuel droplet inside a vessel. In particular, we analyze the evolution of the droplet radius on a finite time interval. The model pro…
Existence and Decay of Solutions of a Nonlinear Viscoelastic Problem with a Mixed Nonhomogeneous Condition
Long Nguyen Thanh, Alain Pham Ngoc Dinh, Le Xuan Truong
We study the initial-boundary value problem for a nonlinear wave equation given by u_{tt}-u_{xx}+\int_{0}^{t}k(t-s)u_{xx}(s)ds+ u_{t}^{q-2}u_{t}=f(x,t,u) , 0 < x < 1, 0 < t < T, u_…