[图书][B] Infinite-dimensional dynamical systems: an introduction to dissipative parabolic PDEs and the theory of global attractors
JC Robinson - 2001 - books.google.com
This book develops the theory of global attractors for a class of parabolic PDEs that includes
reaction-diffusion equations and the Navier-Stokes equations, two examples that are treated …
reaction-diffusion equations and the Navier-Stokes equations, two examples that are treated …
Exponential attractors of reaction-diffusion systems in an unbounded domain
A Babin, B Nicolaenko - Journal of Dynamics and Differential Equations, 1995 - Springer
We consider reaction-diffusion systems in unbounded domains, prove the existence of
expotential attractors for such systems, and estimate their fractal dimension. The essential …
expotential attractors for such systems, and estimate their fractal dimension. The essential …
What do the Navier-Stokes equations tell us about turbulence?
C Foias - Contemporary Mathematics, 1997 - books.google.com
Introduction. The answer to the question above is: Until the early eighties, very little; since
then, quite a lot. In fact, the Navier–Stokes equations now provide a corroborating testimony …
then, quite a lot. In fact, the Navier–Stokes equations now provide a corroborating testimony …
[PDF][PDF] Lattice Boltzmann Methods for Partial Differential Equations
S Simonis - 2023 - core.ac.uk
Lattice Boltzmann methods provide a robust and highly scalable numerical technique in
modern computational fluid dynamics. Besides the discretization procedure, the relaxation …
modern computational fluid dynamics. Besides the discretization procedure, the relaxation …
[图书][B] The stochastic Navier-Stokes equation: Energy estimates and phase space contraction
JC Mattingly - 1998 - search.proquest.com
Abstract We study the Navier-Stokes equation forced by white in time stochastic noise
constructed as the weighted, infinite sum of standard Brownian motions. Using martingale …
constructed as the weighted, infinite sum of standard Brownian motions. Using martingale …
Parametrising the attractor of the two-dimensional Navier–Stokes equations with a finite number of nodal values
PK Friz, JC Robinson - Physica D: Nonlinear Phenomena, 2001 - Elsevier
We consider the solutions lying on the global attractor of the two-dimensional Navier–Stokes
equations with periodic boundary conditions and analytic forcing. We show that in this case …
equations with periodic boundary conditions and analytic forcing. We show that in this case …
Exponential attractors of optimal Lyapunov dimension for Navier-Stokes equations
A Eden, C Foias, B Nicolaenko - Journal of Dynamics and Differential …, 1994 - Springer
In this paper we present a new construction of exponential attractors based on the control of
Lyapunov exponents over a compact, invariant set. The fractal dimension estimate of the …
Lyapunov exponents over a compact, invariant set. The fractal dimension estimate of the …
[PDF][PDF] Navier-Stokes equations and dynamical systems
C Bardos, B Nicolaenko - Handbook of dynamical systems, 2002 - Citeseer
CLAUDE BARDOS and BASILE NICOLAENKO Navier Stokes Equations { and Dynamical
Systems CONTENTS 1. Introduction. 2. Euler and Navie Page 1 CLAUDE BARDOS and BASILE …
Systems CONTENTS 1. Introduction. 2. Euler and Navie Page 1 CLAUDE BARDOS and BASILE …
Numerical solution of a nonlinear dissipative system using a pseudospectral method and inertial manifolds
R Wallace, DM Sloan - SIAM Journal on Scientific Computing, 1995 - SIAM
We consider the numerical solution of nonlinear, dissipative partial differential equations
using a pseudospectral method and the methodology of approximate inertial manifolds …
using a pseudospectral method and the methodology of approximate inertial manifolds …