Scientific Publishing Nonlinear Diffusion Equations - Scientific Publishing Book

Explore the complex world of nonlinear diffusion equations with this specialized text from Scientific Publishing. As an important class of parabolic equations, these mathematical models are essential for understanding various diffusion phenomena found throughout nature. This book provides a deep look into how these equations serve as models for physical problems across multiple disciplines, including biochemistry, phase transition, filtration, and the dynamics of biological groups. Because these equations often possess degeneracy or singularity, their study requires specific expertise. This text addresses the challenges posed by these mathematical properties, covering the new ideas and methods developed to manage the difficulties caused by degeneracy and singularity. It is a valuable resource for those studying mathematical analysis and differential equations, providing the necessary framework to navigate these advanced topics in science and mathematics.