Currently displaying 1 – 1 of 1

Showing per page

Order by Relevance | Title | Year of publication

Concentration in the Nonlocal Fisher Equation: the Hamilton-Jacobi Limit

Benoît PerthameStephane Génieys — 2010

Mathematical Modelling of Natural Phenomena

The nonlocal Fisher equation has been proposed as a simple model exhibiting Turing instability and the interpretation refers to adaptive evolution. By analogy with other formalisms used in adaptive dynamics, it is expected that concentration phenomena (like convergence to a sum of Dirac masses) will happen in the limit of small mutations. In the present work we study this asymptotics by using a change of variables that leads to a constrained Hamilton-Jacobi equation. We prove the convergence analytically...

Page 1

Download Results (CSV)