3 papers
math.CA2007
On the Long Time Behavior of Second Order Differential Equations with Asymptotically Small Dissipation
Alexandre Cabot, Hans Engler, Sebastien Gadat
We investigate the time-asymptotic properties of solutions of the differential equation x''(t) + a(t)x'(t) + g(x(t)) = 0 in a Hilbert space, where a(.) is non-increasing and g is t…
math.AP2005
Analysis of a model for the dynamics of prions II
Hans Engler, Jan Pruess, Glenn F. Webb
A new mathematical model for the dynamics of prion proliferation involving an ordinary differential equation coupled with a partial integro-differential equation is analyzed, conti…
math.AP2001
Asymptotic stability of traveling wave solutions for perturbations with algebraic decay
Hans Engler
For a class of scalar partial differential equations that incorporate convection, diffusion, and possibly dispersion in one space and one time dimension, the stability of traveling…