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19992025
most citedNonlinear waves in networks: a simple approach using the sine-Gordon equation

42 citations

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5 papers · 1 filter

math.OC2023

Linear quadratic optimal control turnpike in finite and infinite dimension: two-term expansion of the value function

Veljko Askovic, Emmanuel Trélat, Hasnaa Zidani

In this paper, we consider a linear quadratic (LQ) optimal control problem in both finite and infinite dimensions. We derive an asymptotic expansion of the value function as the fi…

math.AP2023★ 1 cited

A class of germs arising from homogenization in traffic flow on junctions

Pierre Cardaliaguet, Nicolas Forcadel, Regis Monneau

We consider traffic flows described by conservation laws. We study a 2:1 junction (with two incoming roads and one outgoing road) or a 1:2 junction (with one incoming road and two…

math.AP2023★ 1 cited

Coercive Hamilton-Jacobi equations in domains: the twin blow-ups method

Nicolas Forcadel, Cyril Imbert, Regis Monneau

In this note, we consider an evolution coercive Hamilton-Jacobi equation posed in a domain and supplemented with a boundary condition. We are interested in proving a comparison pri…

stat.ME2023

A mixture of ellipsoidal densities for 3D data modelling

Denis Brazey, Antoine Godichon-Baggioni, Bruno Portier

In this paper, we propose a new ellipsoidal mixture model. This model is based a new probability density function belonging to the family of elliptical distributions and designed t…

math.AP2023★ 4 cited

Non-convex coercive Hamilton-Jacobi equations: Guerand's relaxation revisited

Nicolas Forcadel, Cyril Imbert, Regis Monneau

This work is concerned with Hamilton-Jacobi equations of evolution type posed in domains and supplemented with boundary conditions. Hamiltonians are coercive but are neither convex…