Zobrazeno 1 - 10
of 86
pro vyhledávání: '"Westdickenberg, Michael"'
Autor:
Westdickenberg, Michael
On the set of dissipative solutions to the multi-dimensional isentropic Euler equations we introduce a quasi-order by comparing the acceleration at all times. This quasi-order is continuous with respect to a suitable notion of convergence of dissipat
Externí odkaz:
http://arxiv.org/abs/2005.03570
We introduce new coupling conditions for isentropic flow on networks based on an artificial density at the junction. The new coupling conditions can be derived from a kinetic model by imposing a condition on energy dissipation. Existence and uniquene
Externí odkaz:
http://arxiv.org/abs/2004.09184
Under general assumptions on the velocity field, it is possible to construct a flow that is forward untangled. Once such a flow has been selected, the associated transport problem is well-posed.
Comment: 34 pages, 2 figures
Comment: 34 pages, 2 figures
Externí odkaz:
http://arxiv.org/abs/1912.06815
Learning deep linear neural networks: Riemannian gradient flows and convergence to global minimizers
We study the convergence of gradient flows related to learning deep linear neural networks (where the activation function is the identity map) from data. In this case, the composition of the network layers amounts to simply multiplying the weight mat
Externí odkaz:
http://arxiv.org/abs/1910.05505
We consider a hybrid compressible/incompressible system with memory effects introduced by Lefebvre Lepot and Maury (2011) for the description of one-dimensional granular flows. We prove a first global existence result for this system without addition
Externí odkaz:
http://arxiv.org/abs/1703.05829
Autor:
Westdickenberg, Michael1 (AUTHOR) mwest@instmath.rwth-aachen.de
Publikováno v:
Archive for Rational Mechanics & Analysis. Jun2023, Vol. 247 Issue 3, p1-37. 37p.
In this paper we consider convergence of approximate solutions of conservation laws. We start with an overview over the historical developments since the 1950s, and the analytical tools used in this context. Then we present some of our own results on
Externí odkaz:
http://arxiv.org/abs/1502.00798
Autor:
Westdickenberg, Michael.
Texte remanié de: Diss.--Technische Universität--Berlin, 2001.
Bibliogr. p. 310-330. Index.
Bibliogr. p. 310-330. Index.
Externí odkaz:
http://catalogue.bnf.fr/ark:/12148/cb40930396b
Autor:
Sedjro, Marc, Westdickenberg, Michael
We provide a complete description of the tangent space of the cone of monotone plans in $\R\times \R$ with prescribed first projection. We show that elements of this tangent space are essentially made of two simple building-block types of measures.
Externí odkaz:
http://arxiv.org/abs/1411.3836
We introduce a variational time discretization for the multi-dimensional gas dynamics equations, in the spirit of minimizing movements for curves of maximal slope. Each timestep requires the minimization of a functional measuring the acceleration of
Externí odkaz:
http://arxiv.org/abs/1411.1012