8 citations · 12 across the 3 of their papers we have counts for
9 papers
A hydrodynamic limit for chemotaxis in a given heterogeneous environment
Stefan Grosskinsky, Daniel Marahrens, Angela Stevens
In this paper the first equation within a class of well known chemotaxis systems is derived as a hydrodynamic limit from a stochastic interacting many particle system on the lattic…
Global attractor for a Ginzburg-Landau type model of rotating Bose-Einstein condensates
Alexey Cheskidov, Daniel Marahrens, Christof Sparber
We study the long time behavior of solutions to a nonlinear partial differential equation arising in the description of trapped rotating Bose-Einstein condensates. The equation can…
Annealed estimates on the Green functions and uncertainty quantification
Antoine Gloria, Daniel Marahrens
We prove optimal annealed decay estimates on the derivative and mixed second derivative of the elliptic Green functions on for random stationary measurable coefficie…
Moment bounds on the corrector of stochastic homogenization of non-symmetric elliptic finite difference equations
Jonathan Ben-Artzi, Daniel Marahrens, Stefan Neukamm
We consider the corrector equation from the stochastic homogenization of uniformly elliptic finite-difference equations with random, possibly non-symmetric coefficients. Under the…
On annealed elliptic Green function estimates
Daniel Marahrens, Felix Otto
We consider a random, uniformly elliptic coefficient field on the lattice . The distribution of the coefficient field is assumed to be sta…
A simple and efficient numerical method for computing the dynamics of rotating Bose-Einstein condensates via a rotating Lagrangian coordinate
Weizhu Bao, Daniel Marahrens, Qinglin Tang +1
We propose a simple, efficient and accurate numerical method for simulating the dynamics of rotating Bose-Einstein condensates (BECs) in a rotational frame with/without a long-rang…