Display Abstract

Title Travelling fronts and patterns for kinetic equations with delay

Name Hartmut R Schwetlick
Country England
Email h.schwetlick@bath.ac.uk
Co-Author(s) J Mueller
Submit Time 2014-02-27 12:57:22
Session
Special Session 8: Emergence and dynamics of patterns in nonlinear partial differential equations from mathematical science
Contents
We study a model for the morphology and growth of the fungus Phytophthora, a plant pathogen with a highly damaging impact on forestry economy with features related to the Ash die back disease. The model is based on a kinetic equation for the spread of the density of hyphen tips, whereas the branching of tips induces a delayed nonlinear growth term. We present how to prove the existence of travelling front solutions for this model and study the effect of the delay on the speed of these fronts. We also investigate the question if the nonlinear term is able to impose non-monotone wave profiles. This is joint work with J Mueller from TU Munich