Search Results - "Dietert, Helge"

Stability and bifurcation for the Kuramoto model by Dietert, Helge

“…We study the mean-field limit of the Kuramoto model of globally coupled oscillators. By studying the evolution in Fourier space and understanding the domain of…”
Get full text

Finding the Jump Rate for Fastest Decay in the Goldstein–Taylor Model by Dietert, Helge, Evans, Josephine

“…This paper is about the rate of convergence to equilibrium for hypocoercive linear kinetic equations. We look for the spatially dependent jump rate which…”
Get full text

Well-Posedness of the Prandtl Equations Without Any Structural Assumption by Dietert, Helge, Gérard-Varet, David

“…We show the local in time well-posedness of the Prandtl equations for data with Gevrey 2 regularity in x and Sobolev regularity in y . The main novelty of our…”
Get full text

Evolution of dietary diversity and a starvation driven cross-diffusion system as its singular limit by Brocchieri, Elisabetta, Corrias, Lucilla, Dietert, Helge, Kim, Yong-Jung

“…We rigorously prove the passage from a Lotka-Volterra reaction-diffusion system towards a cross-diffusion system at the fast reaction limit. The system models…”
Get full text

The mathematics of asymptotic stability in the Kuramoto model by Dietert, Helge, Fernandez, Bastien

“…Now a standard in Nonlinear Sciences, the Kuramoto model is the perfect example of the transition to synchrony in heterogeneous systems of coupled oscillators…”
Get full text

Stability and Cascades for the Kolmogorov–Zakharov Spectrum of Wave Turbulence by Collot, Charles, Dietert, Helge, Germain, Pierre

“…We consider the kinetic wave equation arising in wave turbulence to describe the Fourier spectrum of solutions to the cubic Schrödinger equation. This equation…”
Get full text

The mathematics of asymptotic stability in the Kuramoto model by Dietert, Helge, Fernandez, Bastien

“…Now a standard in Nonlinear Sciences, the Kuramoto model is the perfect example of the transition to synchrony in heterogeneous systems of coupled oscillators…”
Get full text

Characterisation of gradient flows on finite state Markov chains by Dietert, Helge

Get full text

Study of a class of triangular starvation driven cross-diffusion systems by Brocchieri, Elisabetta, Desvillettes, Laurent, Dietert, Helge

“…Abstract We study the existence, regularity and uniqueness for a general class of triangular reaction-cross-diffusion systems coming from the study of…”
Get full text

An invariant class of wave packets for the Wigner transform by Dietert, Helge, Keller, Johannes, Troppmann, Stephanie

“…Generalised Hagedorn wave packets appear as exact solutions of Schrödinger equations with quadratic, possibly complex, potential, and are given by a polynomial…”
Get full text

Landau Damping to Partially Locked States in the Kuramoto Model by Dietert, Helge, Fernandez, Bastien, Gérard‐Varet, David

“…In the Kuramoto model of globally coupled oscillators, partially locked states (PLS) are stationary solutions that capture the emergence of partial synchrony…”
Get full text

Well-posedness of the Prandtl equation without any structural assumption by Dietert, Helge, Gérard-Varet, David

“…We show the local in time well-posedness of the Prandtl equation for data with Gevrey $2$ regularity in $x$ and $H^1$ regularity in $y$. The main novelty of…”
Get full text

Orientation Mixing in Active Suspensions by Coti Zelati, Michele, Dietert, Helge, Gérard-Varet, David

“…We study a popular kinetic model introduced by Saintillan and Shelley for the dynamics of suspensions of active elongated particles where the particles are…”
Get full text

L$^2$-Hypocoercivity for non-equilibrium kinetic equations by Dietert, Helge

“…The recent work [11] developed a general framework to show hypocoercivity for a stationary Gibbs state and allowed spatial degeneracy, confining potentials and…”
Get full text

Markov models for ocular fixation locations in the presence and absence of colour by Kashlak, Adam B., Devane, Eoin, Dietert, Helge, Jackson, Henry

“…In response to the 2015 Royal Statistical Society's statistical analytics challenge, we propose to model the fixation locations of the human eye when observing…”
Get full text

Regularity for rough hypoelliptic equations by Dietert, Helge, Hirsch, Jonas

“…We present a general approach to obtain a weak Harnack inequality for rough hypoellipitic equations, e.g. kinetic equations. The proof is constructive and does…”
Get full text

Finding the jump rate for fastest decay in the Goldstein-Taylor model by Dietert, Helge, Evans, Josephine

“…For hypocoercive linear kinetic equations we first formulate an optimisation problem on a spatially dependent jump rate in order to find the fastest decay rate…”
Get full text

Study of a class of triangular starvation driven cross-diffusion systems by Brocchieri, Elisabetta, Desvillettes, Laurent, Dietert, Helge

“…We study the existence, regularity and uniqueness for a general class of triangular reaction-cross-diffusion systems coming from the study of starvation driven…”
Get full text

Persisting entropy structure for nonlocal cross-diffusion systems by Dietert, Helge, Moussa, Ayman

“…For cross-diffusion systems possessing an entropy (i.e. a Lyapunov functional)we study nonlocal versions and exhibit sufficient conditions to ensure that…”
Get full text

Stability of partially locked states in the Kuramoto model through Landau damping with Sobolev regularity by Dietert, Helge

“…The Kuramoto model is a mean-field model for the synchronisation behaviour of oscillators, which exhibits Landau damping. In a recent work, the nonlinear…”
Get full text