Volume 4 ISBN10: 1601330022; ISBN13: 9781601330024<< PREV

Asymptotic Behavior of Dynamical Systems in Fluid Mechanics
By Eduard Feireisl and Dalibor Pražák
This book is a research monograph, intending to expose recent topics in mathematical fluid dynamics. Emphasis is put on the dynamical aspects of the problem, and in particular, on the qualitative analysis of the large time behavior of studied equations.
The topics and problems covered include:
compressible FourierNavierStokes system
incompressible (generalized) NavierStokesFourier system
fluids with pressuredependent viscosities
asymptotic boundedness and blow up of solutions
stabilization to equilibria
construction of global and exponential attractors
estimates of attractor dimension
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Contents Author Bio.
The book can appeal to a wider audience by exposing a working application of a number of nontrivial mathematical techniques, some of
which include:
renormalized solutions
compensated compactness
divcurl lemma
Fourier multipliers
Young measures
theory of innitedimensional dynamical systems
Lyapunov exponents
method of trajectories
compactness in Bochner spaces
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