69 citations
- Université d'OrléansFR21 papers
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- Laboratoire de Mathématiques et Physique ThéoriqueFR3 papers
- Université de ToulonFR3 papers
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Showing 2011 · math.APShow all
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math.AP2011★ 6 cited
A remark on duality solutions for some weakly nonlinear scalar conservation laws
François James, Nicolas Vauchelet
We investigate existence and uniqueness of duality solutions for a scalar conservation law with a nonlocal interaction kernel. Following the work of Bouchut and James (Comm. Partia…
math.AP2011★ 2 cited
A Class of Non-Local Models for Pedestrian Traffic
Rinaldo M. Colombo, Mauro Garavello, Magali Lécureux-Mercier
We present a new class of macroscopic models for pedestrian flows. Each individual is assumed to move towards a fixed target, deviating from the best path according to the instanta…
math.AP2011
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…