Local asymptotic stability of optimal steady states

Stability of Steady States for Thin Film

Local Stability of Spike Steady States in a Simplified Gierer-meinhardt System

In this paper we study the stability of the single internal spike solution of a simplified Gierer-Meinhardt’ system of equations in one space dimension. The linearization around this spike consists of a selfadjoint differential operator plus a non-local term, which is a non-selfadjoint compact integral operator. We find the asymptotic behaviour of the small eigenvalues and we prove stability of...

Asymptotic States in Non-Local Field Theories

Asymptotic states in field theories containing non-local kinetic terms are analyzed using the canonical method, naturally defined in Minkowski space. We apply our results to study the asymptotic states of a non-local MaxwellChern-Simons theory coming from bosonization in 2+1 dimensions. We show that in this case the only asymptotic state of the theory, in the trivial (nontopological) sector, is...

Asymptotic behaviour of graded components of local cohomology modules

This article has no abstract.

GLOBAL ASYMPTOTIC STABILITY OF POSITIVE STEADY STATES OF AN n-DIMENSIONAL RATIO-DEPENDENT PREDATOR-PREY SYSTEM WITH DIFFUSION

The main concern of this paper is to study the dynamics of an n-dimensional ratio-dependent predator-prey system with diffusion. We study the dissipativeness, persistence of the system and it is shown that the unique positive constant steady state is globally asymptotically stable under some assumptions.