227 citations
- Université d'OrléansFR96 papers
- Centre National de la Recherche ScientifiqueFR75 papers
- CERMICSFR28 papers
- Laboratoire de Mathématiques et Physique ThéoriqueFR24 papers
- Université de ToursFR17 papers
- Laboratoire Jean-Alexandre DieudonnéFR12 papers
- Institut national de recherche en sciences et technologies du numériqueFR10 papers
- Laboratoire de Mathématiques d'OrsayFR10 papers
- Laboratoire Jacques-Louis LionsFR9 papers
- Institut Denis PoissonFR8 papers
- Bielefeld UniversityDE7 papers
- École nationale des ponts et chausséesFR7 papers
7 papers · 2 filters
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_…
A nonlinearly ill-posed problem of reconstructing the temperature from interior data
Alain Pham Ngoc Dinh, Pham Hoang Quan, Dang Duc Trong
We consider the problem of reconstructing, from the interior data , a function satisfying a nonlinear elliptic equation $$ Δu = f(x,y,u(x,y)), x \in \RR, y > 0. $$
Laguerre polynomials and the inverse Laplace transform using discrete data
Tran Ngoc Lien, Dang Duc Trong, Alain Pham Ngoc Dinh
We consider the problem of finding a function defined on from a countable set of values of its Laplace transform. The problem is severely ill-posed. We shall use the e…
Sinc Approximation of the Heat Distribution on the Boundary of a Two-Dimensional Finite Slab
Alain Pham Ngoc Dinh, Pham Hoang Quan, Dang Duc Trong
We consider the two-dimensional problem of recovering globally in time the heat distribution on the surface of a layer inside of a heat conducting body from two interior temperatur…
Determination of the body force of a two-dimensional isotropic elastic body
Dang Duc Trong, Alain Pham Ngoc Dinh, Phan Thanh Nam +1
Let represent a twodimensional isotropic elastic body. We consider the problem of determining the body force whose form with be given inexactly…