| 期刊全稱 | An Introduction to Fronts in Random Media | | 影響因子2023 | Jack Xin | | 視頻video | http://file.papertrans.cn/156/155262/155262.mp4 | | 發(fā)行地址 | Many exercises and examples.Expository style of writing.Includes supplementary material: | | 學(xué)科分類 | Surveys and Tutorials in the Applied Mathematical Sciences | | 圖書封面 |  | | 影響因子 | This book aims to give a user friendly tutorial of an interdisciplinary research topic (fronts or interfaces in random media) to senior undergraduates and beginning grad uate students with basic knowledge of partial differential equations (PDE) and prob ability. The approach taken is semiformal, using elementary methods to introduce ideas and motivate results as much as possible, then outlining how to pursue rigor ous theorems, with details to be found in the references section. Since the topic concerns both differential equations and probability, and proba bility is traditionally a quite technical subject with a heavy measure theoretic com ponent, the book strives to develop a simplistic approach so that students can grasp the essentials of fronts and random media and their applications in a self contained tutorial. The book introduces three fundamental PDEs (the Burgers equation, Hamilton– Jacobi equations, and reaction–diffusion equations), analysis of their formulas and front solutions, and related stochastic processes. It builds up tools gradually, so that students are brought to the frontiers of research at a steady pace. A moderate number of exercises are provided to consoli | | Pindex | Textbook 2009 |
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