This paper studies a model for capillarity in circular tubes. The main result of this paper states the existence of a unique C 1 solution for this model. This solution is a minimum point of some functional โฟ.
A variational approach to a problem in boiler control
โ Scribed by T.J.F. Stafford
- Publisher
- Elsevier Science
- Year
- 1966
- Tongue
- English
- Weight
- 488 KB
- Volume
- 3
- Category
- Article
- ISSN
- 0005-1098
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โฆ Synopsis
sllmmnry--The paper deacribea work done in examimng a particular problem of boiler control. The overall approach is the consideration of the boiler as a unit in the frequency control of an electrical power system. The possibilities of including fmquency control withhr the economic scheduling program are limited by the ability of the individual set to follow large amplitude load demands fast. This limitation is real and has arisen due to the previous empirical methods of control system design for this system. The scope of the problem outlined demands a broad approach. One section describea the derivation of a large analytic non-linear computer model of a ' natural circulation non-mheaL boiler. Conch&m are drawn as to the relative importance of various factors, design parameters and existmg controls, to the dynamic characteristics of this sustem. From these results, an even simpler model structure can be derived. A detem&Wc criterion, W, for a single set, the regulating req uh-ementofthesystemisdesiredandthe resulting variational problem in two controls and two state variables is solved. Similarly a one control problem is solved and by progmmming the open loop "OptimaTcontrol strategy, as input to the large analytic computer model, the eifects of model shnplification are demonstrated.
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## Abstract We prove that if the energy of a timeโevolving threeโdimensional GinzburgโLandau configuration is small enough on a given parabolic ball, then no line vortex passes through the ball of halfโradius. ยฉ 2001 John Wiley & Sons, Inc.
A variational approach to a non-linear non-local identification problem related to the non-linear transport equation is studied. Introducing a similarity transformation, the problem is formulated as an identification problem for a non-linear differential equation of second order with an additional n