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Subdiffusion and nonlinear reaction-transport equations

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Partial Differential Equations in Kinetic Theories

The main aim of the talk is to discuss how to incorporate the nonlinear kinetic term into non-Markovian transport equations described by a continuous time random walk (CTRW). We derive nonlinear Master equations for the mean density of reacting particles corresponding to CTRW with arbitrary jump and waiting time distributions. We apply these equations to the problem of front propagation in the reaction-transport systems. Applications include the transport of particles in spiny dendrites, the proliferation and migration dichotomy of the tumor cell invasion.

This talk is part of the Isaac Newton Institute Seminar Series series.

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