Evolution equations for systems governed by social interactions

Autor: Evers, J.H.M.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=narcis______::ff6f6de4f2dbfe43f68f40577b3d2dd6
https://research.tue.nl/nl/publications/5a7d4eb5-40b6-4f10-bf82-5c5dd7c65c72

Modelling with measures : approximation of a mass-emitting object by a point source

Autor: Evers, J.H.M., Hille, S.C., Muntean, A.

We consider a linear diffusion equation on O := R^2 \ O_O, where O_O is a bounded domain. The (time-dependent) flux on the boundary G := dO_O is prescribed. The aim of the paper is to approximate the dynamics by the solution of the diffusion equation

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=narcis______::015869342e0d091de79832fb9fb91f66
https://research.tue.nl/nl/publications/25c6d0ca-23be-455a-b891-a883b1e2a440

Crowds reaching targets by maximizing entropy: a Clausius-Duhem inequality approach

Autor: Evers, J.H.M., Muntean, A., Ven, van de, A.A.F., Le Gorrec, Y.

Publikováno v: 1st IFAC Workshop on Control of Systems Governed by Partial Differential Equations (CPDE 2013, Paris, France, September 25-27, 2013), 263-268
STARTPAGE=263;ENDPAGE=268;TITLE=1st IFAC Workshop on Control of Systems Governed by Partial Differential Equations (CPDE 2013, Paris, France, September 25-27, 2013)

In this paper we make a connection between the study of crowd dynamics and concepts from thermodynamics. The basic component of our continuous model is the continuity equation for the density of people, which we complete by prescribing the velocity e

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1a109e7dd98cfff89c01dc43928407db
http://arxiv.org/abs/1302.1740

Well-posedness and approximation of a measure-valued mass evolution problem with flux boundary conditions

Autor: Evers, J.H.M., Hille, S.C., Muntean, A.

This Note deals with imposing a flux boundary condition on a non-conservative measure-valued mass evolution problem posed on a bounded interval. To establish the well-posedness of the problem we exploit particle system approximations of the mass accu

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=narcis______::172447a814e544f676e76bda0953a30b
https://research.tue.nl/nl/publications/1a1725a1-070e-44d4-9fff-241f26031a29

Node counting in wireless ad-hoc networks

Autor: Evers, J.H.M., Kiss, D., Kowalczyk, W., Navilarekallu, T., Renger, D.R.M., Sella, L., Timperio, V., Viorel, A., Wijk, van, A.C.C., Yzelman, A.J., Planqué, B., Bhulai, S., Hulshof, J., Kager, W., Rot, T.

Publikováno v: Proceedings of the 79th European Study Group Mathematics with Industry, January 24-28, 2011, 49-73
STARTPAGE=49;ENDPAGE=73;TITLE=Proceedings of the 79th European Study Group Mathematics with Industry, January 24-28, 2011

We study wireless ad-hoc networks consisting of small microprocessors with limited memory, where the wireless communication between the processors can be highly unreliable. For this setting, we propose a number of algorithms to estimate the number of

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=narcis______::f95910a415afce681b6562636a5f6054
https://research.tue.nl/nl/publications/6c389ba6-8cdc-4467-957f-d95a8960e44f