5 citations · 17 across the 9 of their papers we have counts for
9 papers
A cell complex structure for the space of heteroclines for a semilinear parabolic equation
Michael Robinson
It is well known that for many semilinear parabolic equations there is a global attractor which has a cell complex structure with finite dimensional cells. Additionally, many semil…
Construction of eternal solutions for a semilinear parabolic equation
Michael Robinson
Eternal solutions of parabolic equations (those which are defined for all time) are typically rather rare. For example, the heat equation has exactly one eternal solution -- the tr…
Eternal solutions and heteroclinic orbits of a semilinear parabolic equation
Michael Robinson
This dissertation describes the space of heteroclinic orbits for a class of semilinear parabolic equations, focusing primarily on the case where the nonlinearity is a second degree…
Cohomology of diagrams of algebras
Michael Robinson
We consider cohomology of diagrams of algebras by Beck's approach, using comonads. We then apply this theory to computing the cohomology of -rings. Our main result is that there…
An asymptotic-numerical approach for examining global solutions to an ordinary differential equation
Michael Robinson
Purely numerical methods do not always provide an accurate way to find all the global solutions to nonlinear ODE on infinite intervals. For example, finite-difference methods fail…
Classification of connecting solutions of semilinear parabolic equations
Michael Robinson
For a given semilinear parabolic equation with polynomial nonlinearity, many solutions blow up in finite time. For a certain large class of these equations, we show that some of th…