40 citations · 76 across the 7 of their papers we have counts for
9 papers
A counterexample to McKean's conjecture for the Landau-Coulomb equation
Jonathan Junné, Raphael Winter, Havva Yoldaş
We disprove McKean's conjecture, which asserts that the entropy dissipation is monotone nonincreasing along solutions, or equivalently that the entropy is convex in time, for the s…
On a class of nonlinear BGK-type kinetic equations with density dependent collision rates
Josephine Evans, Daniel Morris, Havva Yoldaş
We consider a class of nonlinear, spatially inhomogeneous kinetic equations of BGK-type with density dependent collision rates. These equations share the same superlinearity as the…
Trend to equilibrium for run and tumble equations with non-uniform tumbling kernels
Josephine Evans, Havva Yoldaş
We study the long-time behaviour of a run and tumble model which is a kinetic-transport equation describing bacterial movement under the effect of a chemical stimulus. The experime…
Concentration in Lotka-Volterra parabolic equations: an asymptotic-preserving scheme
Vincent Calvez, Hélène Hivert, Havva Yoldaş
In this paper, we introduce and analyze an asymptotic-preserving scheme for Lotka-Volterra parabolic equations. It is a class of nonlinear and nonlocal stiff equations, which descr…
On quantitative hypocoercivity estimates based on Harris-type theorems
Havva Yoldaş
This review concerns recent results on the quantitative study of convergence towards the stationary state for spatially inhomogeneous kinetic equations. We focus on analytical resu…
A cross-diffusion system obtained via (convex) relaxation in the JKO scheme
Romain Ducasse, Filippo Santambrogio, Havva Yoldaş
In this paper, we start from a very natural system of cross-diffusion equations, which can be seen as a gradient flow for the Wasserstein distance of a certain functional. Unfortun…
Analysis of a cross-diffusion model for rival gangs interaction in a city
Alethea B. T. Barbaro, Nancy Rodriguez, Havva Yoldaş +1
We study a two-species cross-diffusion model that is inspired by a system of convection-diffusion equations derived from an agent-based model on a two-dimensional discrete lattice.…
Spectral gap for the growth-fragmentation equation via Harris's Theorem
José A. Cañizo, Pierre Gabriel, Havva Yoldaş
We study the long-time behaviour of the growth-fragmentation equation, a nonlocal linear evolution equation describing a wide range of phenomena in structured population dynamics.…
Asymptotic behaviour of neuron population models structured by elapsed-time
José A. Cañizo, Havva Yoldaş
We study two population models describing the dynamics of interacting neurons, initially proposed by Pakdaman, Perthame, and Salort (2010, 2014). In the first model, the structurin…