Asymptotic Methods In Fluid Mechanics Survey And Recent Advances
Download Asymptotic Methods In Fluid Mechanics Survey And Recent Advances PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Asymptotic Methods In Fluid Mechanics Survey And Recent Advances book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages.
Asymptotic Methods in Fluid Mechanics: Survey and Recent Advances
Author: Herbert Steinrück
language: en
Publisher: Springer Science & Business Media
Release Date: 2012-01-29
A survey of asymptotic methods in fluid mechanics and applications is given including high Reynolds number flows (interacting boundary layers, marginal separation, turbulence asymptotics) and low Reynolds number flows as an example of hybrid methods, waves as an example of exponential asymptotics and multiple scales methods in meteorology.
Advanced Partial Differential Equations
Embark on an in-depth exploration of partial differential equations (PDEs) with "Advanced Partial Differential Equations." Our comprehensive guide provides a thorough overview of the theory, numerical methods, and practical applications of PDEs across various scientific and engineering fields. This resource is designed for both graduate-level students and professionals seeking to deepen their understanding of PDEs. We cover a wide range of topics, from classical PDEs and numerical methods to applications in physics, engineering, biology, and finance. Additionally, we delve into advanced topics such as nonlinear equations and stochastic processes, presenting each subject with rigorous mathematical treatment and clear explanations. Our guide includes detailed discussions on numerical techniques for solving PDEs, featuring finite difference, finite element, spectral, and boundary integral methods. Real-world examples and case studies illustrate the practical relevance of PDEs in disciplines like fluid dynamics, heat transfer, electromagnetics, structural mechanics, and mathematical biology. To enhance your learning experience, we offer thought-provoking exercises and problems at the end of each chapter, along with MATLAB and Python code snippets for implementing numerical algorithms. Whether you're a student, researcher, or practitioner, "Advanced Partial Differential Equations" equips you with the knowledge and tools to tackle complex problems in science and engineering.
A Dynamical Perspective on the ɸ4 Model
This book presents a careful selection of the most important developments of the \phi^4 model, offering a judicious summary of this model with a view to future prospects and the challenges ahead. Over the past four decades, the \phi^4 model has been the basis for a broad array of developments in the physics and mathematics of nonlinear waves. From kinks to breathers, from continuum media to discrete lattices, from collisions of solitary waves to spectral properties, and from deterministic to stochastic models of \phi^4 (and \phi^6, \phi^8, \phi^12 variants more recently), this dynamical model has served as an excellent test bed for formulating and testing the ideas of nonlinear science and solitary waves.