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Mathematics of Two-Dimensional Turbulence
Engelsk
Bogcover for Mathematics of Two-Dimensional Turbulence af Armen Shirikyan, Sergei Kuksin, 9781107022829
Specifikationer
Sprog:
Engelsk
Sider:
336
ISBN-13:
9781107022829
Indbinding:
Hardback
ISBN-10:
1107022827
Udg. Dato:
20 sep 2012
Størrelse i cm:
23,6 x 16,0 x 2,1
Oplagsdato:
20 sep 2012

Mathematics of Two-Dimensional Turbulence

Engelsk
Hardback 2012
Format:

Bog beskrivelse
This book is dedicated to the mathematical study of two-dimensional statistical hydrodynamics and turbulence, described by the 2D Navier–Stokes system with a random force. The authors'' main goal is to justify the statistical properties of a fluid''s velocity field u(t,x) that physicists assume in their work. They rigorously prove that u(t,x) converges, as time grows, to a statistical equilibrium, independent of initial data. They use this to study ergodic properties of u(t,x) – proving, in particular, that observables f(u(t,.)) satisfy the strong law of large numbers and central limit theorem. They also discuss the inviscid limit when viscosity goes to zero, normalising the force so that the energy of solutions stays constant, while their Reynolds numbers grow to infinity. They show that then the statistical equilibria converge to invariant measures of the 2D Euler equation and study these measures. The methods apply to other nonlinear PDEs perturbed by random forces.
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Specifikationer
Sprog:
Engelsk
Sider:
336
ISBN-13:
9781107022829
Indbinding:
Hardback
ISBN-10:
1107022827
Udg. Dato:
20 sep 2012
Størrelse i cm:
23,6 x 16,0 x 2,1
Oplagsdato:
20 sep 2012
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