We study the Lyapunov exponents and their associated invariant subspaces for infinite
dimensional random dynamical systems in a Banach space, which are generated by, for …

This book aims to give a user friendly tutorial of an interdisciplinary research topic (fronts or
interfaces in random media) to senior undergraduates and beginning grad uate students …

Spatial spread and front propagation dynamics is one of the most important dynamical
issues in KPP models. Such dynamics of KPP models in time independent or periodic media …

This paper is concerned with the extension of the concepts and theories of traveling wave
solutions of time and space periodic monostable equations to time recurrent and space …

The current paper is devoted to the study of spatial spreading and front propagating
dynamics of KPP models in inhomogeneous media, particularly, in time almost periodic and …

Providing a basic tool for studying nonlinear problems, Spectral Theory for Random and
Nonautonomous Parabolic Equations and Applications focuses on the principal spectral …

We consider the oblique derivative problem for linear nonautonomous second order
parabolic equations with bounded measurable coefficients on bounded Lipschitz cylinders …

In this series of papers, we investigate the spreading and vanishing dynamics of time almost
periodic diffusive KPP equations with free boundaries. Such equations are used to …

We establish the variational principle of Kolmogorov-Petrovsky-Piskunov (KPP) front speeds
in temporally random shear flows with sufficiently decaying correlations. A key quantity in the …

Harnack inequalities, exponential separation, and perturbations of principal Floquet
bundles for linear parabolic equations Iné Page 1 Ann. IH Poincaré – AN 24 (2007) 711–739 …