By Claudio Baiocchi (auth.), Paul Germain, Bernard Nayroles (eds.)
Read Online or Download Applications of Methods of Functional Analysis to Problems in Mechanics: Joint Symposium IUTAM/IMU Held in Marseille, September 1–6, 1975 PDF
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Additional resources for Applications of Methods of Functional Analysis to Problems in Mechanics: Joint Symposium IUTAM/IMU Held in Marseille, September 1–6, 1975
B. 1972 The stability of solitary waves. London, A 32___88,155-185. Proc. Roy. Soc. B. 1975 Applications of Leray-Schauder degree theory to problems of hydrodynamic stability. To appear in Math. Proc. Cambridge Phil. Soc. E. S. 1974 A g l o b a l t h e o r y o f s t e a d y v o r t e x r i n g s i n an i d e a l f l u i d . A c t a m a t h e m a t i c a 132, 1 3 - 5 1 . ~9 Hadamard, J. 1945 The psychology of Invention in the Mathematical Field. Princeton University Press. E. & P61ya, G. Cambridge Univeristy Press.
Furcation that an exponentially applied mathematicians/) tion of the linearized perturbation respective instability, condition to the zero evidently extends bearing of these facts is best illustrated as sketched in the accompanying figure. ~ to any by a bi- Here f(V) is a linear functional f of with f(O) = O, and each point on the curves f corresponds to a solution V poss- ible at the respective the parameter R. value of In all such ca- ses, however many bifurcations occur, the sum of the indices mains 0 1 independently as is commonly re- of R.
Anal. 2_$5, 188-2OO. A. linear Integral 1964 T o p o l o g i c a l Methods in t h e Theory o f NonEquations. London: Pergamon. A. 1969 i b l e Flow, 2nd ed. Lamb, H. 1952 The M a t h e m a t i c a l TheoTy o f V i s c o u s New York: Gordon and Breach. Hydrodynamics, 6th ed. Incompress- Cambridge University Press. H. 1970 The mathematical problem of hydrodynamic stability. J. Math. Mech. 1_99, 797-817. H. 1973 Topics in Stability and Bifurcation Theory. 1in: Springer-Ve~lag. L. Lions Coll~ge de France, Paris.