Partial Differential Equations
Parabolic partial differential equations may have finite-dimensional attractors. The diffusive part of the equation damps higher frequencies and in some cases leads to a global attractor. The Ginzburg–Landau, the Kuramoto–Sivashinsky, and the two-dimensional, forced Navier–Stokes equations are all known to have global attractors of finite dimension.
For the three-dimensional, incompressible Navier–Stokes equation with periodic boundary conditions, if it has a global attractor, then this attractor will be of finite dimensions.
Read more about this topic: Attractor
Other articles related to "partial differential equations, partial differential equation, equations, equation, partial, differential":
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... schemes attempt to discretize hyperbolic partial differential equations by using differencing biased in the direction determined by the sign of the characteristic speeds ... the MacCormack method (uses a discretization scheme for the numerical solution of hyperbolic partial differential equations), Lax–Wendroff method (based on finite differences, uses a numerical method for the solution ...
1922 1996 Maths He was an Italian mathematician,who worked on partial differential equations ... on the regularity of solutions of elliptic partial differential equations ... and physicist, known for Theory of integral equations and the Lotka–Volterra equations Maria Montessori 1952 ... Natural sciences Founder of the ...
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