TY - BOOK ID - 14306103 TI - Nonlinear PDES : mathematical models in biology, chemistry and population genetics AU - Ghergu, Marius AU - Rӑdulescu, Vicenţiu D. PY - 2011 SN - 14397382 SN - 3642226639 9786613451491 3642226647 1283451492 9783642269844 9783642226632 PB - New York: Springer, DB - UniCat KW - Differential equations, Nonlinear. KW - Differential equations, Partial. KW - Differential equations, Nonlinear KW - Differential equations, Partial KW - Models, Theoretical KW - Mathematics KW - Investigative Techniques KW - Natural Science Disciplines KW - Analytical, Diagnostic and Therapeutic Techniques and Equipment KW - Disciplines and Occupations KW - Models, Chemical KW - Nonlinear Dynamics KW - Models, Biological KW - Engineering & Applied Sciences KW - Physical Sciences & Mathematics KW - Applied Physics KW - Calculus KW - Partial differential equations KW - Nonlinear differential equations KW - Mathematics. KW - Dynamics. KW - Ergodic theory. KW - Global analysis (Mathematics). KW - Manifolds (Mathematics). KW - Partial differential equations. KW - Mathematical physics. KW - Calculus of variations. KW - Partial Differential Equations. KW - Calculus of Variations and Optimal Control; Optimization. KW - Mathematical Applications in the Physical Sciences. KW - Global Analysis and Analysis on Manifolds. KW - Dynamical Systems and Ergodic Theory. KW - Isoperimetrical problems KW - Variations, Calculus of KW - Maxima and minima KW - Physical mathematics KW - Physics KW - Geometry, Differential KW - Topology KW - Analysis, Global (Mathematics) KW - Differential topology KW - Functions of complex variables KW - Geometry, Algebraic KW - Ergodic transformations KW - Continuous groups KW - Mathematical physics KW - Measure theory KW - Transformations (Mathematics) KW - Dynamical systems KW - Kinetics KW - Mechanics, Analytic KW - Force and energy KW - Mechanics KW - Statics KW - Math KW - Science KW - Nonlinear theories KW - Differential equations, partial. KW - Mathematical optimization. KW - Global analysis. KW - Differentiable dynamical systems. KW - Differential dynamical systems KW - Dynamical systems, Differentiable KW - Dynamics, Differentiable KW - Differential equations KW - Global analysis (Mathematics) KW - Topological dynamics KW - Optimization (Mathematics) KW - Optimization techniques KW - Optimization theory KW - Systems optimization KW - Mathematical analysis KW - Operations research KW - Simulation methods KW - System analysis KW - Ecuaciones diferenciales parciales KW - Biomatemáticas KW - Differentiable dynamical systems KW - Global analysis KW - Mathematical optimization UR - https://www.unicat.be/uniCat?func=search&query=sysid:14306103 AB - 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 nonlinear partial differential equations (either stationary or evolutionary) that are applied to understand concrete processes involving some important applications related to phenomena such as: boundary layer phenomena for viscous fluids, population dynamics,, dead core phenomena, etc. It addresses researchers and post-graduate students working at the interplay between mathematics and other fields of science and technology and is a comprehensive introduction to the theory of nonlinear 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 phenomena 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 phenomena modeled by nonlinear partial differential equations. ER -