The emphasis throughout the present volume is on the practical application of theoretical mathematical models helping to unravel the underlying mechanisms involved in processes from mathematical physics and biosciences. It has been conceived as a unique collection of abstract methods dealing especially with nlinear partial differential equations (either stationary or evolutionary) that are applied to understand concrete processes involving some important applications related to phemena such as: boundary layer phemena for viscous fluids, population dynamics,, dead core phemena, etc. It addresses researchers and post-graduate students working at the interplay between mathematics and other fields of science and techlogy and is a comprehensive introduction to the theory of nlinear partial differential equations and its main principles also presents their real-life applications in various contexts: mathematical physics, chemistry, mathematical biology, and population genetics. Based on the authors' original work, this volume provides an overview of the field, with examples suitable for researchers but also for graduate students entering research. The method of presentation appeals to readers with diverse backgrounds in partial differential equations and functional analysis. Each chapter includes detailed heuristic arguments, providing thorough motivation for the material developed later in the text. The content demonstrates in a firm way that partial differential equations can be used to address a large variety of phemena occurring in and influencing our daily lives. The extensive reference list and index make this book a valuable resource for researchers working in a variety of fields and who are interested in phemena modeled by nlinear partial differential equations.
Marius Ghergu, Vicentiu Radulescu
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Date of Publication
Springer Monographs in Mathematics
Place of Publication
Country of Publication
Springer-Verlag Berlin and Heidelberg GmbH & Co. K