Feedback control of charged ideal fluids
نویسندگان
چکیده
The theory of controlled mechanical systems [6, 3, 4] is extended to the case ideal incompressible fluids consisting charged particles in presence an external magnetic field. resulting control feedback type and depends on Eulerian state system. Moreover, set up so that corresponding closed loop equations are Lie-Poisson. This implies energy-momentum method [1, 11] can be used find a stabilizing control. As example planar parallel shear flow with inflection point treated. A dependent constructed which stabilizes system for arbitrarily long channel.
منابع مشابه
State Feedback Control of Electrorheological Fluids
Electrorheological (ER) fluids have electrically controllable stiffness, viscosity, and heat transfer properties. Since the 1940s researchers have attempted to model the properties of ER fluids and have proposed applications which attempt to utilize their special characteristics in the operation of hydraulic valves, soft clutches, and active suspension systems. Early attempts to make these appl...
متن کاملCoulomb interactions in charged fluids.
The use of Ewald summation schemes for calculating long-range Coulomb interactions, originally applied to ionic crystalline solids, is a very common practice in molecular simulations of charged fluids at present. Such a choice imposes an artificial periodicity which is generally absent in the liquid state. In this paper we propose a simple analytical O(N(2)) method which is based on Gauss's law...
متن کاملVortex pairs in charged fluids.
The motion of a vortex-(anti)vortex pair is studied numerically in the framework of a dynamical Ginzburg-Landau model, relevant to the description of a superconductor or of an idealized bosonic plasma. It is shown that up to a fine ”cyclotron” internal motion, also studied in detail, two vortices brought together, rotate around each other, while a vortex and an antivortex move in formation para...
متن کاملOrdering in charged rod fluids
The statistical mechanics of a dense fluid of charged rods is considered, and the corresponding phase diagram is calculated, using a collective coordinate transformation. A first-order isotropic-nematic phase transition is found, as suggested by a recent experiment. Collective coordinate transformations have been widely used in many different areas of physics. A well known example where they ar...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Nonlinearity
سال: 2021
ISSN: ['0951-7715', '1361-6544']
DOI: https://doi.org/10.1088/1361-6544/abbd83