Cross-Diffusion Systems - Dynamics, Coexistence and Persistence

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.

About the author

Dung Le, University of Texas, San Antonio, USA.

Summary

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.

Product details

• Authors: Dung Le
• Publisher: De Gruyter
• Languages: English
• Product format: Hardback
• Release: 06.10.2025
• EAN: 9783111615578
• ISBN: 978-3-11-161557-8
• No. of pages: 282
• Series: De Gruyter Series in Nonlinear Analysis and Applications
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Analysis; Analysis, Angewandte Mathematik, Mathematische Modellierung, Mathematics, MAT034000 MATHEMATICS / Mathematical Analysis, MAT003000 MATHEMATICS / Applied, MAT029000 MATHEMATICS / Probability & Statistics / General, regularity, steady states, Elliptic/parabolic system, BMO (Bounded Mean Oscillation), Strongly coupled