13 citations · 17 across the 4 of their papers we have counts for
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Optimal non-symmetric Fokker-Planck equation for the convergence to a given equilibrium
Anton Arnold, Beatrice Signorello
This paper is concerned with finding Fokker-Planck equations in with the fastest exponential decay towards a given equilibrium. For a prescribed, anisotropic Gaussia…
Large time convergence of the non-homogeneous Goldstein-Taylor Equation
Anton Arnold, Amit Einav, Beatrice Signorello +1
The Goldstein-Taylor equations can be thought of as a simplified version of a BGK system, where the velocity variable is constricted to a discrete set of values. It is intimately r…
Propagator norm and sharp decay estimates for Fokker-Planck equations with linear drift
Anton Arnold, Christian Schmeiser, Beatrice Signorello
We are concerned with the short- and large-time behavior of the -propagator norm of Fokker-Planck equations with linear drift, i.e. $\partial_t f=\mathrm{div}_{x}{(D \nabla_x…
On optimal decay estimates for ODEs and PDEs with modal decomposition
Franz Achleitner, Anton Arnold, Beatrice Signorello
We consider the Goldstein-Taylor model, which is a 2-velocity BGK model, and construct the "optimal" Lyapunov functional to quantify the convergence to the unique normalized steady…