On the statistical theory of spatial structure formation in random media

Autor: V. I. Klyatskin
Rok vydání: 2013
Předmět:
Zdroj: Russian Journal of Mathematical Physics. 20:295-314
ISSN: 1555-6638
1061-9208
DOI: 10.1134/s1061920813030059
Popis: It is shown that, in parametrically excited stochastic dynamic systems described by partial differential equations, space structures (clustering) can be formed with probability 1 due to rare events occurring with probability tending to zero. Such problems arise in hydrodynamics, magnetohydrodynamics, plasma physics, astrophysics, and radiophysics. … Chaos is the place which serves to contain all things; for if this had not subsisted neither earth nor water nor the rest of the elements, nor the Universe a whole, could have been constructed… Sextus Empiricus, Against the Physics, against the Ethicists, R. G. Bury, p. 217, Harvard University Press, 1997.
Databáze: OpenAIRE