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Macroscopic modelling of crowd motion
In this work, we aim at modelling crowd motion in emergency situations. We propose a macroscopic model (where people are represented as a density) following two basic... -
A phase-field approximation of the Willmore flow with volume and area constra...
The well-posedness of a phase-field approximation to the Willmore flow with area and volume constraints is established when the functional approximating the area has... -
Existence and uniqueness for planar anisotropic and crystalline curvature flow.
We prove short-time existence of φ-regular solutions to the planar anisotropic curvature flow, including the crystalline case, with an additional forcing term possibly... -
Optimal Transport : Regularity and applications
This thesis consists in two distinct parts both related to the optimal transport theory.The first part deals with the regularity of the optimal transport map. The key... -
CONTRACTION OF THE PROXIMAL MAP AND GENERALIZED CONVEXITY OF THE MOREAU-YOSID...
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Unilateral gradient flow of the Ambrosio-Tortorelli functional by minimizing ...
Motivated by models of fracture mechanics, this paper is devoted to the analysis of a unilateral gradient flow of the Ambrosio-Tortorelli functional, where... -
On the energy of a flow arising in shape optimization
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Travelling Waves for the Nonlinear Schrödinger Equation with General Nonlinea...
International audience -
Non local evolution equations and phase transition problems
The aim of this thesis is to study the large time behavior of solutions of nonlocal evolution equations and to also study the singular limit of equations and systems... -
Dense registration of CHRIS-Proba and Ikonos images using multi-dimensional m...
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One-dimensional Gagliardo-Nirenberg-Sobolev inequalities: Remarks on duality ...
This paper is devoted to one-dimensional interpolation Gagliardo-Nirenberg-Sobolev inequalities. We study how various notions of duality, transport and monotonicity of...
