Zobrazeno 1 - 10
of 37
pro vyhledávání: '"Marahrens, Daniel"'
Autor:
Marahrens, Daniel
This thesis deals with problems arising in the study of nonlinear partial differential equations arising from many-body problems. It is divided into two parts: The first part concerns the derivation of a nonlinear diffusion equation from a microscopi
Externí odkaz:
http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.564036
Publikováno v:
Vietnam J. Math. 45(1), 127-152 (2017)
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 lattice. The cells are assumed to interact with attractive chemical molecule
Externí odkaz:
http://arxiv.org/abs/1508.03569
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 be seen as a hybrid between the well-known nonlinear Schr\"odinger/Gr
Externí odkaz:
http://arxiv.org/abs/1506.04706
Autor:
Gloria, Antoine, Marahrens, Daniel
We prove optimal annealed decay estimates on the derivative and mixed second derivative of the elliptic Green functions on $\mathbb{R}^d$ for random stationary measurable coefficients that satisfy a certain logarithmic Sobolev inequality and for peri
Externí odkaz:
http://arxiv.org/abs/1409.0569
We consider the corrector equation from the stochastic homogenization of uniformly elliptic finite-difference equations with random, possibly non-symmetric coefficients. Under the assumption that the coefficients are stationary and ergodic in the qua
Externí odkaz:
http://arxiv.org/abs/1407.6984
Autor:
Marahrens, Daniel, Otto, Felix
We consider a random, uniformly elliptic coefficient field $a$ on the lattice $\mathbb{Z}^d$. The distribution $\langle \cdot \rangle$ of the coefficient field is assumed to be stationary. Delmotte and Deuschel showed that the gradient and second mix
Externí odkaz:
http://arxiv.org/abs/1401.2859
Publikováno v:
SIAM J. Sci. Comput., Vol. 35, pp. A2671-A2695, 2013
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-range dipole-dipole interaction. We begin with the three-dimensional (3D)
Externí odkaz:
http://arxiv.org/abs/1305.1378
Autor:
Marahrens, Daniel, Otto, Felix
We consider a random, uniformly elliptic coefficient field $a(x)$ on the $d$-dimensional integer lattice $\mathbb{Z}^d$. We are interested in the spatial decay of the quenched elliptic Green function $G(a;x,y)$. Next to stationarity, we assume that t
Externí odkaz:
http://arxiv.org/abs/1304.4408
A mathematical framework for optimal bilinear control of nonlinear Schr\"odinger equations of Gross-Pitaevskii type arising in the description of Bose-Einstein condensates is presented. The obtained results generalize earlier efforts found in the lit
Externí odkaz:
http://arxiv.org/abs/1202.2306