John Neuberger, University of North Texas
Semidynamical systems and differential equations
4:00 pm –
4:50 pm
Avery Hall
Room: 115
1144 T St
Lincoln NE 68508
Lincoln NE 68508
Additional Info: AVH
Contact:
Sylvia Wiegand, (402) 472-7248, swiegand1@math.unl.edu
Title: Semidynamical systems and differential equations.
Abstract: We discuss generators for certain kinds of functions, called semidynamical systems, on a complete separable metric space X. A “semidynamical system” T is actually a set of transformations on X, one for each natural number n, such that T(0) is the identity transformation and, for n,m natural numbers, the composition T(n)T(m) is the same as T(n+m).
A complete characterization of such generators is given. This solves an old problem on the relationship between semidynamical systems and time-dependent differential equations.
An analogous generator for local (in “time”) semigroups is given. A possible application to the open local-global existence problem for Navier-Stokes equations is given, together with an indication of a numerical attack on this problem.
Local hosts: Lynn Erbe and Allan Peterson
Abstract: We discuss generators for certain kinds of functions, called semidynamical systems, on a complete separable metric space X. A “semidynamical system” T is actually a set of transformations on X, one for each natural number n, such that T(0) is the identity transformation and, for n,m natural numbers, the composition T(n)T(m) is the same as T(n+m).
A complete characterization of such generators is given. This solves an old problem on the relationship between semidynamical systems and time-dependent differential equations.
An analogous generator for local (in “time”) semigroups is given. A possible application to the open local-global existence problem for Navier-Stokes equations is given, together with an indication of a numerical attack on this problem.
Local hosts: Lynn Erbe and Allan Peterson
Additional Public Info:
Preceded by refreshments at 3:30 pm in Avery Hall 348.