Infinite-dimensional dynamical systems: An introduction to dissipative parabolic pdes and the theory of global attractors. cambridge texts in applied mathematics
JC Robinson, C Pierre - Appl. Mech. Rev., 2003 - asmedigitalcollection.asme.org
This is a formal book on introductory continuum mechanics, written primarily for applied
mathematicians and theoretical engineers kept in the style of rational continuum mechanics …
mathematicians and theoretical engineers kept in the style of rational continuum mechanics …
Statistical mechanics of two-dimensional and geophysical flows
The theoretical study of the self-organization of two-dimensional and geophysical turbulent
flows is addressed based on statistical mechanics methods. This review is a self-contained …
flows is addressed based on statistical mechanics methods. This review is a self-contained …
[BOOK][B] Representations of algebraic groups
JC Jantzen - 2003 - books.google.com
Now back in print by the AMS, this is a significantly revised edition of a book originally
published in 1987 by Academic Press. This book gives the reader an introduction to the …
published in 1987 by Academic Press. This book gives the reader an introduction to the …
[BOOK][B] Fokker–Planck–Kolmogorov Equations
This book gives an exposition of the principal concepts and results related to second order
elliptic and parabolic equations for measures, the main examples of which are Fokker …
elliptic and parabolic equations for measures, the main examples of which are Fokker …
Ergodicity of the 2D Navier-Stokes equations with degenerate stochastic forcing
The stochastic 2D Navier-Stokes equations on the torus driven by degenerate noise are
studied. We characterize the smallest closed invariant subspace for this model and show …
studied. We characterize the smallest closed invariant subspace for this model and show …
[BOOK][B] Mathematics of two-dimensional turbulence
S Kuksin, A Shirikyan - 2012 - books.google.com
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 …
hydrodynamics and turbulence, described by the 2D Navier–Stokes system with a random …
Exponential mixing properties of stochastic PDEs through asymptotic coupling
M Hairer - Probability theory and related fields, 2002 - Springer
We consider parabolic stochastic partial differential equations driven by white noise in time.
We prove exponential convergence of the transition probabilities towards a unique invariant …
We prove exponential convergence of the transition probabilities towards a unique invariant …
Exponential convergence for the stochastically forced Navier-Stokes equations and other partially dissipative dynamics
JC Mattingly - Communications in mathematical physics, 2002 - Springer
We prove that the two dimensional Navier-Stokes equations possess an exponentially
attracting invariant measure. This result is in fact the consequence of a more general``Harris …
attracting invariant measure. This result is in fact the consequence of a more general``Harris …
A theory of hypoellipticity and unique ergodicity for semilinear stochastic PDEs
M Hairer, J Mattingly - 2011 - projecteuclid.org
We present a theory of hypoellipticity and unique ergodicity for semilinear parabolic
stochastic PDEs with" polynomial" nonlinearities and additive noise, considered as abstract …
stochastic PDEs with" polynomial" nonlinearities and additive noise, considered as abstract …
Ergodicity results for the stochastic Navier–Stokes equations: an introduction
The theory of the stochastic Navier–Stokes equations (SNSE) has known a lot of important
advances those last 20 years. Existence and uniqueness have been studied in various …
advances those last 20 years. Existence and uniqueness have been studied in various …