15 citations · 41 across the 13 of their papers we have counts for
14 papers
A framework for continuum modeling of opinion dynamics on a network based on probability of connections
Gianluca Favre, Gaspard Jankowiak, Sara Merino-Aceituno +1
We propose a modeling framework to develop a continuum description of opinion dynamics on networks as an alternative to other models, like the ones based on graphons. In a nutshell…
Conservation, convergence, and computation for evolving heterogeneous elastic wires
Anna Dall'Acqua, Gaspard Jankowiak, Leonie Langer +1
The elastic energy of a bending-resistant interface depends both on its geometry and its material composition. We consider such a heterogeneous interface in the plane, modeled by a…
The influence of nucleus mechanics in modelling adhesion-independent cell migration in structured and confined environments
Chiara Giverso, Gaspard Jankowiak, Luigi Preziosi +1
Recent biological experiments have shown that certain types of cells are able to move in structured and confined environment even without the activation of focal adhesion. Focusing…
Canards in a bottleneck
Annalisa Iuorio, Gaspard Jankowiak, Peter Szmolyan +1
In this paper we investigate the stationary profiles of a nonlinear Fokker-Planck equation with small diffusion and nonlinear in- and outflow boundary conditions. We consider corri…
Bifurcation of elastic curves with modulated stiffness
Katharina Brazda, Gaspard Jankowiak, Christian Schmeiser +1
We investigate the equilibrium configurations of closed planar elastic curves of fixed length, whose stiffness, also known as the bending rigidity, depends on an additional density…
A PDE model for unidirectional flows: stationary profiles and asymptotic behaviour
Annalisa Iuorio, Gaspard Jankowiak, Peter Szmolyan +1
In this paper, we investigate the stationary profiles of a convection-diffusion model for unidirectional pedestrian flows in domains with a single entrance and exit. The inflow and…
Micro- and Macroscopic Modeling of Crowding and Pushing in Corridors
Michael Fischer, Gaspard Jankowiak, Marie-Therese Wolfram
Experiments with pedestrians revealed that the geometry of the domain, as well as the incentive of pedestrians to reach a target as fast as possible have a strong influence on the…
Modelling adhesion-independent cell migration
Gaspard Jankowiak, Diane Peurichard, Anne Reversat +2
A two-dimensional mathematical model for cells migrating without adhesion capabilities is presented and analyzed. Cells are represented by their cortex, which is modelled as an ela…
Non-Conforming Multiscale Finite Element Method for Stokes Flows in Heterogeneous Media. Part II: error estimates for periodic microstructure
Gaspard Jankowiak, Alexei Lozinski
This paper is dedicated to the rigorous numerical analysis of a Multiscale Finite Element Method (MsFEM) for the Stokes system, when dealing with highly heterogeneous media, as pro…
Onofri inequalities and rigidity results
Jean Dolbeault, Maria J. Esteban, Gaspard Jankowiak
This paper is devoted to the Moser-Trudinger-Onofri inequality on smooth compact connected Riemannian manifolds. We establish a rigidity result for the Euler-Lagrange equation and…
Fractional Sobolev and Hardy-Littlewood-Sobolev inequalities
Gaspard Jankowiak, Van Hoang Nguyen
This work focuses on an improved fractional Sobolev inequality with a remainder term involving the Hardy-Littlewood-Sobolev inequality which has been proved recently. By extending…
The Moser-Trudinger-Onofri inequality
Jean Dolbeault, Maria J. Esteban, Gaspard Jankowiak
This paper is devoted to results on the Moser-Trudinger-Onofri inequality, or Onofri inequality for brevity. In dimension two this inequality plays a role similar to the Sobolev in…
Sobolev and Hardy-Littlewood-Sobolev inequalities
Jean Dolbeault, Gaspard Jankowiak
This paper is devoted to improvements of Sobolev and Onofri inequalities. The additional terms involve the dual counterparts, i.e. Hardy-Littlewood-Sobolev type inequalities. The O…
Stationary solutions of Keller-Segel type crowd motion and herding models: multiplicity and dynamical stability
Jean Dolbeault, Peter Markowich, Gaspard Jankowiak
In this paper we study two models for crowd motion and herding. Each of the models is of Keller-Segel type and involves two parabolic equations, one for the evolution of the densit…