4 citations · 6 across the 5 of their papers we have counts for
5 papers
Traveling Waves in the McKean-Vlasov Equation under Sakaguchi-Kuramoto Interaction with Phase Frustration
Jesenko Vukadinovic
We study the McKean-Vlasov equation for weakly coupled oscillators for the Sakaguchi-Kuramoto model. While the original Kuramoto model with purely sinusoidal coupling provides a go…
Averaging and spectral properties for the 2D advection-diffusion equation in the semi-classical limit for vanishing diffusivity
Eugene Dedits, Andrew C. Poje, Tobias Schaefer +1
We consider the two-dimensional advection-diffusion equation on a bounded domain subject to either Dirichlet or von Neumann boundary conditions and study both time-independent and…
Symmetrization of advection-diffusion operators
Eugene Dedits, Andrew C. Poje, Tobias Schaefer +1
We present a new method to transform an expanded class of non-selfadjoint advection-diffusion operators into self-adjoint operators. The transform is based on a combination of a po…
Global Dissipativity and Inertial Manifolds for Diffusive Burgers Equations with Low-Wavenumber Instability
Jesenko Vukadinovic
Global well-posedness, existence of globally absorbing sets and existence of inertial manifolds is investigated for a class of diffusive Burgers equations. The class includes diffu…
Averaged dynamics of time-periodic advection diffusion equations in the limit of small diffusivity
Tobias Schaefer, Andrew C. Poje, Jesenko Vukadinovic
We study the effect of advection and small diffusion on passive tracers. The advecting velocity field is assumed to have mean zero and to possess time-periodic stream lines. Using…