Cross Diffusion Systems: Dynamics, Coexistence and Persistence

✍ Scribed by Dung Le

Publisher: De Gruyter
Year: 2022
Tongue: English
Leaves: 236
Series: De Gruyter Series in Nonlinear Analysis and Applications; 40
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

The introduction of cross diffusivity opens many questions in the theory of reactiondiffusion systems. This book will be the first to investigate such problems presenting new findings for researchers interested in studying parabolic and elliptic systems where classical methods are not applicable. In addition, The Gagliardo-Nirenberg inequality involving BMO norms is improved and new techniques are covered that will be of interest. This book also provides many open problems suitable for interested Ph.D students.

Introduces differential equations and dynamical systems for applications in biology and ecology.

Covers the main components in cross diffusion systems:

Dynamics of solutions,

Coexistence of steady states

The persistence of evolution processes

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