39 research outputs found
Design for a Darwinian Brain: Part 1. Philosophy and Neuroscience
Physical symbol systems are needed for open-ended cognition. A good way to
understand physical symbol systems is by comparison of thought to chemistry.
Both have systematicity, productivity and compositionality. The state of the
art in cognitive architectures for open-ended cognition is critically assessed.
I conclude that a cognitive architecture that evolves symbol structures in the
brain is a promising candidate to explain open-ended cognition. Part 2 of the
paper presents such a cognitive architecture.Comment: Darwinian Neurodynamics. Submitted as a two part paper to Living
Machines 2013 Natural History Museum, Londo
Global Solutions of the Navier-Stokes Equations for Isentropic Flow with Large External Potential Force
We prove the global-in-time existence of weak solutions to the Navier-Stokes
equations of compressible isentropic flow in three space dimensions with
adiabatic exponent . Initial data and solutions are small in
around a non-constant steady state with densities being positive and
essentially bounded. No smallness assumption is imposed on the external forces
when . A great deal of information about partial regularity and
large-time behavior is obtained.Comment: 17 page