Parabolic problems with the Preisach hysteresis operator in boundary conditions |
| |
Authors: | Pavel Gurevich Willi Jäger |
| |
Institution: | a Institute for Mathematics I, Free University of Berlin, Arnimallee 2-6, 14195 Berlin, Germany b Interdisciplinary Center for Scientific Computing, University of Heidelberg, Im Neuenheimer Feld 368, 69120 Heidelberg, Germany |
| |
Abstract: | Parabolic initial boundary-value problems coupled (via the boundary condition) with ordinary differential equations whose right-hand side contains the Preisach hysteresis operator are considered. In particular, these problems model thermocontrol processes in chemical reactors, climate-control systems, biological cells, etc. For the Preisach operator with and without time delay, solvability, periodicity of solutions, and global B-attractors are studied. |
| |
Keywords: | 35K15 47J40 45M15 35B41 |
本文献已被 ScienceDirect 等数据库收录! |
|