تقرير
Stabilisation of falling liquid films with restricted observations
| العنوان: | Stabilisation of falling liquid films with restricted observations |
|---|---|
| المؤلفون: | Holroyd, Oscar A., Cimpeanu, Radu, Gomes, Susana N. |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics Physics (Other) |
| مصطلحات موضوعية: | Mathematics - Optimization and Control, Physics - Fluid Dynamics, 93B52, 76A20, 49N10, 93C41 |
| الوصف: | We propose a method to stabilise a solution to equations describing the interface of thin liquid films falling under gravity with a finite number of actuators and restricted observations. As for many complex systems, full observation of the system state is challenging in physical settings, so methods able to take this into account are important. The Navier-Stokes equations modelling the flow are a complex, highly nonlinear set of PDEs, so standard control theoretical results are not applicable. Instead, we chain together a hierarchy of increasingly idealised approximations, developing a control strategy for the simplified model which is shown to be successfully applied to simulations of the full system. Comment: 6 pages, 9 figures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2407.06906 |
| رقم الأكسشن: | edsarx.2407.06906 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |