Lieber 



In conclusion, we draw attention to our work on hydrodynamical stability 

 which originated in 1955, and in which the question concerning the stability of 

 hydrodynamical fields jointly subjected to multiple- maintained gradients in the 

 state parameters was originally posed and brought under theoretical examina- 

 tion. Here also, the motivating concept for posing this question was the princi- 

 ple of maximum uniformity, and the idea that the response of a hydrodynamical 

 system jointly subjected to multiple gradients maintained in the state variables 

 is in general determined by the principle of maximum uniformity. A paper in 

 these studies written with L. Rintel, demonstrates the ideas by which we origi- 

 nally attacked this problem from the standpoint of small-perturbation analysis. 

 A direct connection between the principle of maximum uniformity and hydrody- 

 namical stability is under examination in our work, and will take time to de- 

 velop in a form suitable for presentation. 



REFERENCES 



1. Lieber, P., and Wan, K.S., "A Principle of Virtual Displacements for Real 

 Fluids," Int. Congr. Mech., Proc, IX, Brussels, Belgium, 1957 (also issued 

 as a Rensselaer Polytechnic Institute Research Division Report AFOSR TN 

 57-476, AD 136 468, under Air Force Contract AF 18(600)- 1704, July 1957 



2. Finlayson and Scriven, L.E., "On the Search for Variational Principles," J. 

 Mass Transfer, 10, 799-821, Pergamon Press, 1967 (printed in Great 

 Britain) 



3. Lieber, P., "A Principle of Maximum Uniformity Obtained as a Theorem on 

 the Distribution of Internal Forces," Israel J. Sci. Technol., Jerusalem: 

 Weizmann Press, Apr. 1968; also published under same title as a technical 

 report of the Institute of Engineering Research, University of California, 

 Berkeley, Nov. 1968 



4. Lieber, P., "Categories of Information," technical report of the Institute of 

 Engineering Research, University of California, Berkeley, Oct. 1965; also 

 published in Markus Reiner Honorary Volume, Pergamon Press, 1968 



5. Lieber, P., and Wan, K.S., "A Principle of Minimum Dissipation for Real 

 Fluids," Int. Congr. Mech., Proc. IX, Brussels, Belgium, 1957 (also issued 

 by Rensselaer Polytechnic Institute, Troy, N.Y., as a Research Division 

 Report AFOSR TN 57-477, AD 136-469, Aug. 1957, and released Office of 

 Scientific Research, USAF as TN 57-477, under Contract AF 18(600)- 1704, 

 Aug. 1957) 



6. Lieber, P., and Wan, K.S., "A Proof and Generalization of the Principle of 

 Minimum Dissipation," issued by the Rensselaer Polytechnic Institute, Troy, 

 N.Y., Sept. 1957; also released to the Office of Scientific Research, USAF 

 under contract AF 18(600)- 1704 



680 



